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2019

  • Yinhao Zhu, Nicholas Zabaras, Phaedon-Stelios Koutsourelakis and Paris Perdikaris, "Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data", Journal of Computational Physics, Vol. , pp. , 2019. [doi] [pdf]

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  • Steve Atkinson and Nicholas Zabaras, "Structured Bayesian Gaussian process latent variable model: Applications to data-driven dimensionality reduction and high-dimensional inversion", Journal of Computational Physics, Vol. , pp. , 2019. [doi] [pdf]

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  • Shaoxing Mo, Nicholas Zabaras, Xiaoqing Shi and Jichun Wu "Deep Autoregressive Neural Networks for High-Dimensional Inverse Problems in Groundwater Contaminant Source Identification", Water Resources Research, Vol. 55, pp. , 2019. [doi] [pdf]

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  • Nicholas Geneva and Nicholas Zabaras, "Quantifying model form uncertainty in Reynolds-averaged turbulence models with Bayesian deep neural networks", Journal of Computational Physics, Vol. , pp. , 2019. [doi] [pdf]

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  • Markus Schöberl, Nicholas Zabaras and Phaedon-Stelios Koutsourelakis, "Predictive collective variable discovery with deep Bayesian models", Journal of Chemical Physics, Vol. , pp. , 2019. [doi] [pdf]

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2018

  • Souvik Chakraborty and Nicholas Zabaras, "Efficient Data-driven Reduced Order Models for High Dimensional Multiscale Dynamical Systems", Computer Physics Communications, Vol. , pp. , 2018. [doi] [pdf]

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  • Yinhao Zhu and N. Zabaras, "Bayesian Deep Convolutional Encoder-Decoder Networks for Surrogate Modeling and Uncertainty Quantification", Journal of Computational Physics, Vol. , pp. , 2018. [doi] [pdf]

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2017

  • Markus Schöberl, Nicholas Zabaras, Phaedon-Stelios Koutsourelakis, "Predictive Coarse Graining", Journal of Computational Physics, Vol. 333, pp. 49--77, 2017. [doi] [pdf]

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  • Ilias Bilionis and N. Zabaras, "Bayesian Uncertainty Propagation Using Gaussian Processes", In R. Ghanem, D. Higdon and H. Owhadi (edts.), Handbook of Uncertainty Quantification, Springer International Publishing, pp. 1-45, 2017. [doi] [pdf]

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  • Jesper Kristensen, Ilias Bilionis and N. Zabaras, "Adaptive Simulation Selection for the Discovery of the Ground State Line of Binary Alloys with a Limited Computational Budget", In R. Melnik et al. (eds.), Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science, Fields Institute Communications Vol. 79, 2017. [doi] [pdf]

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2016

  • L. Ellam, N. Zabaras and M. Girolami, "A Bayesian approach to multiscale inverse problems with on-the-fly scale determination", Journal of Computational Physics, Vol. 326, pp. 115-140, 2016. [doi] [pdf]

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  • W.W. Xing, V. Triantafyllidis, A.A. Shah, P.B. Nair, N. Zabaras, "Manifold learning for the emulation of spatial fields from computational models", Journal of Computational Physics, Vol. 326, pp. 666-690, 2016. [doi] [pdf]

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  • Manuel Aldegunde, Nicholas Zabaras, Jesper Kristensen, "Quantifying uncertainties in first-principles alloy thermodynamics using cluster expansions, Journal of Computational Physics, Vol. 323, pp. 17-44, 2016. [doi] [pdf]

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  • P.S. Koutsourelakis, N. Zabaras, M. Girolami, "Special Issue: Big data and predictive computational modeling", Journal of Computational Physics, Vol. 321, pp. 1252-1254, 2016. [doi] [pdf]

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  • Manuel Aldegunde, James R. Kermode, Nicholas Zabaras, "Development of an exchange–correlation functional with uncertainty quantification capabilities for density functional theory", Journal of Computational Physics, Vol. 311, pp. 173-195, 2016. [doi] [pdf]

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  • Panagiotis Tsilifis, Ilias Bilionis, Ioannis Katsounaros and Nicholas Zabaras, "Computationally Efficient Variational Approximations for Bayesian Inverse Problems", ASME J. Verif. Valid. Uncert., Vol. 1(3), pp. 031004-031004-13, 2016. [doi] [pdf]

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2015

  • Peng Chen, N. Zabaras and I. Bilionis, "Uncertainty Propagation using Infinite Mixture of Gaussian Processes and Variational Bayesian Inference", Journal of Computational Physics,Vol. 284, pp. 291-333, 2015. [doi] [pdf]

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2014

  • Ilias Bilionis and N. Zabaras, "Solution of Inverse Problems with Limited Forward Solver Evaluations: A Bayesian Perpsective", Inverse Problems, Institute of Physics, Vol. 30, pp. 015004 (32pp), 2014. [doi] [pdf]

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  • Jesper Kristensen and N. Zabaras, "Bayesian uncertainty quantification in the evaluation of alloy properties with the cluster expansion method", Computer Physics Communications, Vol. 185, pp. 2885-2892, 2014. [doi] [pdf] 

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  • Jiang Wan and N. Zabaras, "A probabilistic graphical model based stochastic input model construction", Journal of Computational Physics, Vol. 272, pp. 664-685, 2014. [doi] [pdf]

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  • Peng Chen and N. Zabaras, "Uncertainty quantification for multiscale disk forging of polycrystal materials using probabilistic graphical model techniques", Computational Materials Science, Volume 84, pp. 278--292, 2014. [doi] [pdf] 

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2013

  • Jesper Kristensen, Ilias Bilionis and N. Zabaras, "Relative Entropy as Model Selection Tool in Cluster Expansions", Physical Review B, Vol. 87, pp. 174112, 2013. [doi] [pdf]

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  • Jiang Wan and N. Zabaras, "A probabilistic graphical model approach to stochastic multiscale partial differential equations", Journal of Computational Physics, Volume 250, pp 477--510, 2013. [doi] [pdf]

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  • Ilias Bilionis and N. Zabaras, "A stochastic optimization approach to coarse-graining using a relative-entropy framework", The Journal of Chemical Physics, Vol. 138, pp. 044313-1 -- 044313-12 (2013).  [doi] [pdf]

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  • Peng Chen and N. Zabaras, "A non-parametric belief propagation method for uncertainty quantification with application to flow in random porous media", Journal of Computational Physics, Vol. 250, pp. 616-643, 2013.  [doi] [pdf]

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  • Ilias Bilionis, N. Zabaras, A. Konomi and G. Lin "Multi-output separable Gaussian process: Towards an efficient, fully Bayesian paradigm for uncertainty quantification", Journal of Computational Physics, Vol. 241, Pages 212-239, 2013. [doi] [pdf]

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  • Peng Chen and N. Zabaras, "Adaptive Locally Weighted Projection Regression Method for Uncertainty Quantification", Communications in Computational Physics (CiCP), Vol. 14, pp. 851-878, 2013. [doi] [pdf]

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2012

  • Ilias Bilionis and N. Zabaras, "Multidimensional adaptive relevance vector machines for Uncertainty Quantification", SIAM Journal for Scientific Computing, Vol. 34, No. 6, pp. B881-B908, 2012.  [doi] [pdf]

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  • Ilias Bilionis and N. Zabaras, "Multi-output Local Gaussian Process Regression: Applications to Uncertainty Quantification", Journal of Computational Physics, Vol. 231, pp. 5718-5746, 2012.  [doi] [pdf]

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  • Bin Wen and N. Zabaras, "Investigating Variability of Fatigue Indicator Parameters of Two-phase Nickel-based Superalloy Microstructures", Computational Materials Science, 51 (1), pp. 455-481, 2012.  [doi] [pdf]

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  • Bin Wen and N. Zabaras, "A Multiscale Approach for Model Reduction of Random Microstructures", Computational Materials Science, Vol. 63, pp. 269-285, 2012.  [doi] [pdf]

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2011

  • Xiang Ma and N. Zabaras, "Kernel Principal Component Analysis for Stochastic Input Model Reduction", Journal of Computational Physics, Vol. 230, Issue 19, pp. 7311-7331, 2011.  [doi] [pdf]

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  • Xiang Ma and N. Zabaras, "A stochastic mixed finite element heterogeneous multiscale method for flow in porous media", Journal of Computational Physics, Vol. 230, Issue 12, pp. 4696-4722, 2011.  [doi] [pdf]

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  • Bin Wen, Zheng Li and N. Zabaras, "Thermal response variability of random polycrystalline microstructures", Communications in Computational Physics, Vol. 10, No. 3, pp. 607-634, 2011. [doi] [pdf]

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2010

  • Zheng Li, Bin Wen and N. Zabaras, "Computing mechanical response variability of polycrystalline microstructures through dimensionality reduction techniques", Computational Materials Science, Vol. 49, Issue 3, pp. 568-581, 2010. [doi] [pdf]

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  • B. Kouchmeshky and N. Zabaras, "Microstructure model reduction and uncertainty quantification in multiscale deformation processes", Computational Materias Science, Vol. 48, Issue 2, pp. 213--227, 2010. [doi] [pdf]

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  • X. Ma and N. Zabaras, "An adaptive high-dimensional stochastic model representation technique for the solution of stochastic PDEs", Journal of Computational Physics, Vol. 229, no. 10, pp. 3884--3915, 2010.  [doi] [pdf]

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2009

  • B. Kouchmeshky and N. Zabaras, "The effect of multiple sources of uncertainty on the convex hull of material properties", Computational Materials Science, Volume 47, Issue 2, pp. 342--352, 2009. [doi] [pdf] 

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  • X. Ma and N. Zabaras, "An efficient Bayesian inference approach to inverse problems based on adaptive sparse grid collocation method", Inverse Problems (Institute of Physics), Vol. 25, 035013 (27pp), 2009. [doi] [pdf] 

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  • B. Ganapathysubramanian and N. Zabaras, "A stochastic multiscale framework for modeling flow through heterogeneous porous media", Journal of Computational Physics, Vol. 228, pp. 591--618, 2009. [doi] [pdf] 

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  • W. Li and N. Zabaras, "A virtual environment for the interrogation of 3D polycrystals including grain size effects", Computational Materials Science, Vol. 44, pp. 1163--1177, 2009. [doi] [pdf] 

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  • V. Sundararaghavan and N. Zabaras, "A statistical learning approach for the design of polycrystalline materials", Statistical Analysis and Data Mining, Vol. 1, Issue 5, pp. 306--321, 2009 (invited paper for the special issue on `Materials Informatics: Data-Driven Discovery in Materials Science', Krishna Rajan and Patricio Mendez, edts.). [doi] [pdf] 

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  • B. Kouchmeshky and N. Zabaras, "Modeling the response of HCP polycrystals deforming by slip and twinning using a finite element representation of the orientation space", Computational Materials Science, Vol. 45, Issue 4, pp. 1043--1051, 2009. [doi] [pdf] 

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  • X. Ma and N. Zabaras, "An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations", Journal of Computational Physics, Vol. 228, pp. 3084-3113, 2009. [doi] [pdf]

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2008

  • B. Ganapathysubramanian and N. Zabaras, "Modeling multiscale diffusion processes in random heterogeneous media", Computer Methods in Applied Mechanics and Engineering, Vol. 197, pp. 3560--3573, 2008 (special issue of CMAME on stochastic multiscale modeling, N. Zabaras and D. Xiu, edts.). [doi] [pdf]

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  • B. Ganapathysubramanian and N. Zabaras, "A seamless approach towards stochastic modeling: Sparse grid collocation and data driven input models", Finite Elements in Analysis and Design (special issue with contributions from the finalists of the 10th Annual R.J. Melosh competition for the best student paper on FEM), Vol. 44(5), pp. 298-320, 2008.  [doi] [pdf]

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  • N. Zabaras and B. Ganapathysubramanian, "A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach", J. Computational Physics, Vol. 227 pp. 4697-4735, 2008. [doi] [pdf] 

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  • V. Sundararaghavan and N. Zabaras, "A multilength scale continuum sensitivity analysis for the control of texture-dependent properties in deformation processing", International Journal of Plasticity, Vol. 24, pp. 1581-1605, 2008. [doi] [pdf] 

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  • B. Ganapathysubramanian and N. Zabaras, "A non-linear dimension reduction methodology for generating data-driven stochastic input models", Journal of Computational Physics, Vol. 227, pp. 6612-6637, 2008. [doi] [pdf] 

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  • X. Ma and N. Zabaras, "A stabilized stochastic finite element second-order projection method for modeling natural convection in random porous media", Journal of Computational Physics, Vol. 227, pp. 8448-8471, 2008. [doi] [pdf] 

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  • V. Sundararaghavan and N. Zabaras, "Weighted multibody expansions for computing stable structures of multi-atom systems", Physical Review B, Vol. 77 (6), pp. 064101-1--064101-10, 2008. [doi] [pdf] 

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2007

  • L. Tan and N. Zabaras, "Multiscale modeling of alloy solidification using a database approach", Journal of Computational Physics, Vol. 227, pp. 728-754, 2007. [doi] [pdf]  

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  • L. Tan and N. Zabaras, "Modeling the growth and interaction of multiple dendrites in solidification using a level set method", Journal of Computational Physics, Vol. 226, pp. 131-155, 2007. [doi] [pdf]  

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  • N. Zabaras and S. Sankaran, "An information-theoretic approach to stochastic materials modeling", IEEE Computing in Science and Engineering (CiSE), special issue of "Stochastic Modeling of Complex Systems" (guest edts. D. M. Tartakovsky and D. Xiu), March/April issue, pp. 50-59, 2007. [doi] [pdf] 

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  • B. Ganapathysubramanian and N. Zabaras, "Modelling diffusion in random heterogeneous media: Data-driven models, stochastic collocation and the variational multi-scale method", Journal of Computational Physics, Vol. 226, pp. 326-353, 2007. [doi] [pdf]  

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  • S. Sankaran and N. Zabaras, "Computing property variability of polycrystals induced by grain size and orientation uncertainties", Acta Materialia, Vol. 55, Issue 7, pp. 2279-2290, 2007. [doi] [pdf]  

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  • V. Sundararaghavan and N. Zabaras, "Linear analysis of texture-property relationships using process-based representations of Rodrigues space", Acta Materialia, Vol. 55, Issue 5, pp. 1573-1587, 2007. [doi] [pdf]  

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  • S. Acharjee and N. Zabaras, "A non-intrusive stochastic Galerkin approach for modeling uncertainty propagation in deformation processes", Computers and Structures (special issue on Stochastic Modeling, G.I.Schueller, edt.), Vol. 85, Issues 5-6, pp. 244-254, 2007. [doi] [pdf]   

 

2006

  • D. Samanta and N. Zabaras, "Control of macrosegregation in the solidification of alloys using magnetic fields", International Journal of Heat and Mass Transfer, Vol. 49, pp. 4850-4866, 2006. [doi] [pdf]  

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  • N. Zabaras, V. Sundararaghavan and S. Sankaran, "An information-theoretic approach for obtaining property PDFs from macro specifications of microstructural variability", TMS Letters, Vol. 3, Issue 1, pp. 1-2, 2006. [doi] [pdf] 

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  • L.L. Graham-Brady, S.R. Arwade, D.J. Corr, M.A. Gutierrez, D. Breysse, M. Grigoriu, N. Zabaras, "Probability and materials, from nano- to macro-scale: A summary", Probabilistic Engineering Mechanics, Vol. 21, pp. 193-199, 2006. [doi] [pdf]  

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  • B. Velamur Asokan and N. Zabaras, "A stochastic variational multiscale method for diffusion in heterogeneous random media", Journal of Computational Physics, Vol. 218, pp. 654-676, 2006. [doi] [pdf]  

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  • V. Sundararaghavan and N. Zabaras, "Design of microstructure-sensitive properties in elasto-viscoplastic polycrystals using multi-scale homogenization", International Journal of Plasticity, Vol. 22, pp. 1799-1824, 2006. [doi] [pdf]

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  • S. Sankaran and N. Zabaras, "A maximum entropy approach for property prediction of random microstructures", Acta Materialia, Vol. 54, pp. 2265-2276, 2006. [doi] [pdf]  

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  • N. Zabaras, B. Ganapathysubramanian and L. Tan, "Modeling dendritic solidification with melt convection using the extended finite element method (XFEM) and level set methods", Journal of Computational Physics, Vol. 218, pp. 200-227, 2006. [doi] [pdf] 

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  • Swagato Acharjee and N. Zabaras, "The continuum sensitivity method for the computational design of three-dimensional deformation processes", Computer Methods in Applied Mechanics and Engineering, Vol. 195, pp. 6822-6842, 2006. [doi] [pdf]

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  • S. Acharjee and N. Zabaras, "A concurrent model reduction approach on spatial and random domains for stochastic PDEs", International Journal for Numerical Methods in Engineering, Vol. 66, pp. 1934-1954, 2006. [doi] [pdf]

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  • J. Wang and N. Zabaras, "A Markov random field model to contamination source identification in porous media flow", International Journal of Heat and Mass Transfer, Vol. 49, pp. 939-950, 2006. [doi] [pdf]

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  • Lijian Tan and N. Zabaras, "A level set simulation of dendritic solidification with combined features of front tracking and fixed domain methods", Journal of Computational Physics, Vol. 211, pp. 36-63, 2006. [doi] [pdf]

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  • S. Acharjee and N. Zabaras, "Uncertainty propagation in finite deformations -- A spectral stochastic Lagrangian approach", Computer Methods in Applied Mechanics and Engineering, Vol. 195, pp. 2289-2312, 2006. [doi] [pdf] 

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2005

  • D. Samanta and N. Zabaras, "A coupled thermomechanical, thermal transport and segregation analysis of the solification of Aluminum alloys on molds of uneven topographies", Materials Science and Engineering: A, Vol. 408, pp. 211-226, 2005. [doi] [pdf]

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  • Lijian Tan and N. Zabaras, "A thermomechanical study of the effects of mold topography on the solidification of Aluminum alloys", Materials Science and Engineering: A, Vol. 404, pp. 197-207, 2005. [doi] [pdf]

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  • D. Samanta and N. Zabaras, "Numerical study of macrosegregation in Aluminum Alloys solidifying on uneven surfaces", International Journal of Heat and Mass Transfer, Vol. 48, pp. 4541-4556, 2005. [doi] [pdf]

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  • D. Samanta and N. Zabaras, "Modeling convection in solidification processes with stabilized finite element techniques", International Journal for Numerical Methods in Engineering, Vol. 64, pp. 1769-1799, 2005. [doi] [pdf]

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  • B. Velamur Asokan and N. Zabaras, "Using stochastic analysis to capture unstable equilibrium in natural convection", Journal of Computational Physics, Vol. 208/1, pp. 134-153, 2005. [doi] [pdf]

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  • B. Ganapathysubramanian and N. Zabaras, "On the control of solidification of conducting materials using magnetic fields and magnetic field gradients", International Journal of Heat and Mass Transfer, Vol. 48, pp. 4174-4189, 2005. [doi] [pdf]

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  • V. Sundararaghavan and N. Zabaras, "On the synergy between classification of textures and deformation process sequence selection", Acta Materialia, Vol. 53/4, pp. 1015-1027, 2005. [doi] [pdf]

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  • B. Ganapathysubramanian and N. Zabaras, "Control of solidification of non-conducting materials using tailored magnetic fields", Journal of Crystal Growth, Vol. 276/1-2, pp. 299-316, 2005. [doi] [pdf]

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  • S. Ganapathysubramanian and N. Zabaras, "Modeling the thermoelastic-viscoplastic response of polycrystals using a continuum representation over the orientation space", International Journal of Plasticity, Vol. 21/1 pp. 119-144, 2005. [doi] [pdf]

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  • Jingbo Wang and N. Zabaras, "Hierarchical Bayesian models for inverse problems in heat conduction", Inverse Problems, Vol. 21, pp. 183-206, 2005. [doi] [pdf]

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  • Jingbo Wang and N. Zabaras, "Using Bayesian statistics in the estimation of heat source in radiation", International Journal of Heat and Mass Transfer, Vol. 48, pp. 15-29, 2005. [doi] [pdf]

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  • V. Sundararaghavan and N. Zabaras, "Classification and reconstruction of three-dimensional microstructures using support vector machines", Computational Materials Science, Vol. 32, pp. 223-239, 2005. [doi] [pdf] 

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  • B. Velamur Asokan and N. Zabaras, "Variational multiscale stabilized FEM formulations for transport equations: stochastic advection-diffusion and incompressible stochastic Navier-Stokes equations", Journal of Computational Physics, Vol. 202/1, pp. 94-133, 2005. [doi] [pdf]

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2004

  • S. Ganapathysubramanian and N. Zabaras, "Design across length scales: A reduced-order model of polycrystal plasticity for the control of microstructure-sensitive material properties", Computer Methods in Applied Mechanics and Engineering, Vol. 193 (45-47), pp. 5017-5034, 2004. [doi] [pdf]

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  • Jingbo Wang and N. Zabaras, "A Bayesian inference approach to the stochastic inverse heat conduction problem", International Journal of Heat and Mass Transfer, Vol. 47, pp. 3927-3941, 2004. [doi] [pdf]

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  • B. Ganapathysubramanian and N. Zabaras, "Using magnetic field gradients to control the directional solidification of alloys and the growth of single crystals", Journal of Crystal Growth, Vol. 270/1-2, pp. 255-272, 2004. [doi] [pdf]

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  • V. Sundararaghavan and N. Zabaras, "A dynamic material library for the representation of single phase polyhedral microstructures", Acta Materialia, Vol. 52/14, pp. 4111-4119, 2004. [doi] [pdf]

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  • Velamur Asokan Badri Narayanan and N. Zabaras, "Stochastic inverse heat conduction using a spectral approach", International Journal for Numerical Methods in Engineering, Vol. 60/9, pp. 1569-1593, 2004. [doi] [pdf]

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  • N. Zabaras and D. Samanta, "A stabilized volume-averaging finite element method for flow in porous media and binary alloy solidification processes", International Journal for Numerical Methods in Engineering, Vol. 60/6, pp. 1103-1138, 2004. [doi] [pdf]

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  • S. Ganapathysubramanian and N. Zabaras, "Deformation process design for control of microstructure in the presence of dynamic recrystallization and grain growth mechanisms", International Journal for Solids and Structures, Vol. 41/7, pp. 2011-2037, 2004. [doi] [pdf]

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2003

  • S. Acharjee and N. Zabaras "A proper orthogonal decomposition approach to microstructure model reduction in Rodrigues space with applications to the control of material properties", Acta Materialia, Vol. 51/18, pp. 5627-5646, 200.  [doi] [pdf]

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  • N. Zabaras, S. Ganapathysubramanian and Q. Li, "A continuum sensitivity method for the design of multi-stage metal forming processes", International Journal of Mechanical Sciences, Vol. 45, pp. 325--358, 2003.  [doi] [pdf]

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  • S. Ganapathysubramanian and N. Zabaras, "Computational design of deformation processes for materials with ductile damage", Computer Methods in Applied Mechanics and Engineering, Vol. 192, pp. 147--183, 2003.  [doi] [pdf]

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2002

  • S. Ganapathysubramanian and N. Zabaras, "A continuum sensitivity method for finite thermo-inelastic deformations with applications to the design of hot forming processes", International Journal for Numerical Methods in Engineering, Vol. 55, pp. 1391--1437, 2002. [doi] [pdf]

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2001

  • R. Sampath and N. Zabaras, "Adjoint variable method for the thermal design of eutectic directional solidification processes in an open-boat configuration", Numerical Heat Transfer:Part A, Vol. 39, pp. 655--683, 2001. [doi] [pdf​]

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  • S. Akkaram and N. Zabaras, "An updated Lagrangian finite element sensitivity analysis of large deformations using quadrilateral elements", International Journal for Numerical Methods in Engineering, Vol. 52, pp. 1131--1163, 2001. [doi] [pdf​]

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  • R. Sampath and N. Zabaras, "Numerical study of convection in the directional solidification of a binary alloy driven by the combined action of buoyancy, surface tension and electromagnetic forces", Journal of Computational Physics, Vol. 168, pp. 384--411, 2001 (see our results in the cover of this JCP issue). [doi] [pdf​]

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  • R. Sampath and N. Zabaras, "Inverse design of directional solidification processes in the presence of a strong external magnetic field", International Journal for Numerical Methods in Engineering, Vol. 50, pp. 2489--2520, 2001. [doi] [pdf​]

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  • R. Sampath and N. Zabaras, "A functional optimization approach to an inverse magneto-convection problem", Computer Methods in Applied Mechanics and Engineering, Vol. 190, No. 15-17, pp. 2063--2097, 2001. [doi] [pdf​]

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2011
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2019
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2000

  • A. Srikanth and N. Zabaras, "Shape optimization and preform design and shape optimization in metal forming", Computer Methods in Applied Mechanics and Engineering, Vol. 190, pp. 1859--1901, 2000. [doi] [pdf]

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  • N. Zabaras, Y. Bao, A. Srikanth and W. G. Frazier, "A continuum sensitivity analysis for metal forming processes with application to die design problems", International Journal for Numerical Methods in Engineering, Vol. 48, pp. 679--720, 2000. [doi] [pdf]

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  • R. Sampath and N. Zabaras, "An object-oriented implementation of adjoint techniques for the design of complex continuum systems", International Journal for Numerical Methods in Engineering, Vol. 48, pp. 239--266, 2000. [doi] [pdf]

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1999

  • A. Srikanth and N. Zabaras, "A computational model for the finite element analysis of thermoplasticity with ductile damage at finite strains", International Journal for Numerical Methods in Engineering, Vol. 45, pp. 1569--1605, 1999. [doi] [pdf]

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  • N. Zabaras and A. Srikanth, "Using objects to model finite deformation plasticity", Engineering with Computers, Special Issue on Object Oriented Computational Mechanics Techniques, Vol. 15, pp. 37--60, 1999. [doi] [pdf]

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  • N. Zabaras and A. Srikanth, "An object-oriented programming approach to the Lagrangian FEM analysis of large inelastic deformations and metal forming processes", International Journal for Numerical Methods in Engineering, Vol. 45, pp. 399--445, 1999. [doi] [pdf]

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  • R. Sampath and N. Zabaras, "An object-oriented implementation of a front tracking FEM for directional solidification processes", International Journal for Numerical Methods in Engineering, Vol. 44(9), pp. 1227--1265, 1999. [doi] [pdf]

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1998

  • G. Z. Yang and N. Zabaras, "The adjoint method for an inverse design problem in the directional solidification of binary alloys", Journal of Computational Physics, Vol. 140, pp. 432--452, 1998. [doi] [pdf]

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  • G. Z. Yang and N. Zabaras, "An adjoint method for the inverse design of solidification processes with natural convection", International Journal for Numerical Methods in Engineering, Vol. 42, pp. 1121--1144, 1998. [doi] [pdf]

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1997

  • N. Zabaras and G. Yang, "A functional optimization and implementation for an inverse natural convection problem", Computer Methods in Applied Mechanics and Engineering, Vol. 144, pp. 245--274, 1997. [doi] [pdf]

 

1996

  • S. Badrinarayanan and N. Zabaras, "A sensitivity analysis for the optimal design of metal forming processes", Computer Methods in Applied Mechanics and Engineering, Vol. 129, pp. 319--348, 1996. [doi] [pdf]

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1995

  • N. Zabaras and T. Hung Nguyen, "Control of the freezing interface morphology in solidification processes in the presence of natural convection", International Journal for Numerical Methods in Engineering, Vol. 38, pp. 1555--1578, 1995. [doi] [pdf]

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  • S. Kang and N. Zabaras, "Control of the freezing interface motion in two-dimensional solidification processes using the adjoint method", International Journal for Numerical Methods in Engineering, Vol. 38, pp. 63--80, 1995. [doi] [pdf]

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  • N. Zabaras and S. Liu, "A theory for small deformation analysis of growing bodies with an application to the winding of magnetic tape packs", Acta Mechanica, Vol. 111, pp. 95--110, 1995. [doi] [pdf]

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1994

  • D. McDaniel and N. Zabaras, "A least squares front tracking FEM analysis of phase change problems with natural convection", International Journal for Numerical Methods in Engineering, International Journal for Numerical Methods in Engineering, Vol. 37, pp. 2755--2777, 1994. [doi] [pdf]

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  • N. Zabaras and K. Yuan, "Dynamic programming approach to the inverse Stefan design problem", Numerical Heat Transfer, Part B, Vol 26, No. 1, 97--104, 1994. [doi] [pdf]

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  • N. Zabaras, S. Liu, J. Kopuzha, and E. Donaldson, "A hypoelastic model for computing stresses in center- wound rolls of magnetic tape", Journal of Applied Mechanics ASME, Vol. 61, No. 2, pp. 290--295, 1994. [doi] [pdf]

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  • N. Zabaras and S. Mukherjee, "Solidification problems by the boundary element method", International Journal of Solids and Structures, Vol. 31, No. 12/13, pp. 1829--1846, 1994. [doi] [pdf]

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  • A. M. Maniatty and N. Zabaras, "Investigation of regularization parameters and error estimating in inverse elasticity problems", International Journal for Numerical Methods in Engineering, Vol. 37, pp. 1039--1052, 1994. [doi] [pdf]

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1993

  • N. Zabaras and S. Kang, "On the solution of an ill-posed inverse design solidification problem using minimization techniques in finite and infinite dimensional spaces", International Journal for Numerical Methods in Engineering, Vol. 36, pp. 3973--3990, 1993. [doi] [pdf]

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  • N. Zabaras and S. Kang, "Thermomechanical final state design of unidirectional solidification processes", Journal of Materials Processing and Manufacturing Science, Vol. 2, pp. 141--157, 1993. [doi] [pdf]

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1992

  • A. F. M. Arif and N. Zabaras, "On the performance of two tangent operators for finite element analysis of large deformation inelastic problems", International Journal for Numerical Methods in Engineering, Vol. 35, pp. 369-- 389, 1992. [doi] [pdf]

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  • D. Schnur and N. Zabaras, "An inverse method for determining elastic material properties and a material interface", International Journal for Numerical Methods in Engineering, Vol. 33, pp. 2039--2057, 1992. [doi] [pdf]

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  • N. Zabaras, Y. Ruan, and O. Richmond, "On the design of two-dimensional Stefan processes with desired freezing front motions", Numerical Heat Transfer, Part B, Vol. 21, pp. 307--325, 1992. [doi] [pdf]

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  •  T. Pervez and N. Zabaras, "Transient dynamic and damping analysis of laminated anisotropic plates using a refined plate theory", International Journal for Numerical Methods in Engineering, Vol. 33, pp. 1059--1080, 1992. [doi] [pdf]

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  • N. Zabaras and A. F. M. Arif, "A family of integration algorithms for constitutive equations in finite deformation elasto-viscoplasticity", International Journal for Numerical Methods in Engineering, Vol. 33, pp. 59--84, 1992. [doi] [pdf]

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1991

  • N. Zabaras, Y. Ruan, and O. Richmond, "On the calculation of deformations and thermal stresses during axially symmetric solidification", Journal of Applied Mechanics ASME, Vol. 58, pp. 865--871, December 1991. [doi] [pdf]

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  • S. Tolson and N. Zabaras, "Finite element analysis of progressive failure in laminated composite plates", Computers and Structures, Vol. 38, No. 3, pp. 361--376, 1991. [doi] [pdf]

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  • Y. Ruan and N. Zabaras, "An inverse finite element technique to determine the change of phase interface location in two-dimensional melting problems", Communications in Applied Numerical Methods, Vol. 7, pp. 325--338, 1991. [doi] [pdf]

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1990

  • N. Zabaras and Y. Ruan, "Moving and deforming finite element simulation of two-dimensional Stefan problems", Communications in Applied Numerical Methods, Vol. 6, pp. 495--506, 1990. [doi] [pdf]

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  • N. Zabaras, Y. Ruan, and O. Richmond, "Front tracking thermomechanical model for hypoelastic-viscoplastic behavior in a solidifying body", Computer Methods in Applied Mechanics and Engineering, Vol. 81, pp. 333-364, 1990. [doi] [pdf]

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  • N. Zabaras and T. Pervez, "Viscous damping approximation of laminated anisotropic composite plates using the finite element method", Computer Methods in Applied Mechanics and Engineering, Vol. 81, pp. 291-- 316, 1990. [doi] [pdf]

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  • D. Schnur and N. Zabaras, "Finite element solution of two-dimensional inverse elastic problems using spatial smoothing", International Journal for Numerical Methods in Engineering, Vol. 30, pp. 57--75, 1990. [doi] [pdf]

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  • N. Zabaras, "Inverse finite element techniques for the analysis of solidification processes", International Journal for Numerical Methods in Engineering, Vol. 29, pp. 1569--1587, 1990. [doi] [pdf]

 

1989

  • N. Zabaras, V. Morellas, and D. Schnur, "Spatially regularized solution of inverse elasticity problems using the boundary element method", Communications in Applied Numerical Methods, Vol. 5, pp. 547--553, 1989. [doi] [pdf]

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  • A. Maniatty and N. Zabaras, "Method for solving inverse elasto-viscoplastic problems", Journal of the Engineering Mechanics Division ASCE, Vol. 115, No. 10, pp. 2216--2231, October 1989. [doi] [pdf]

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  • A. Maniatty, N. Zabaras, and K. Stelson, " Finite element analysis of some inverse elasticity problems", Journal of the Engineering Mechanics Division ASCE, Vol. 115, No. 6, pp. 1303--1317, June 1989. [doi] [pdf]

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  • N. Zabaras and Y. Ruan, "A deforming FEM analysis of inverse Stefan problems", International Journal for Numerical Methods in Engineering, Vol. 28, pp. 295--313, 1989. [doi] [pdf]

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1988

  • N. Zabaras and J. Liu, "An analysis of two-dimensional linear inverse heat transfer problems using an integral method", Numerical Heat Transfer, Vol. 13, pp. 527--533, 1988. [doi] [pdf]

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  • N. Zabaras, S. Mukherjee, and O. Richmond, "An analysis of inverse heat transfer problems with phase changes using an integral method", Journal of Heat Transfer ASME, Vol. 110, pp. 554--561, 1988. [doi] [pdf]

 

1987

  • N. Zabaras and S. Mukherjee, "An analysis of solidification problems by the boundary element method" , International Journal for Numerical Methods in Engineering, Vol. 10, pp. 1879---1900, 1987. [doi] [pdf]

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  • N. Zabaras, S. Mukherjee, and W. R. Arthur, "A numerical and experimental study of quenching of circular cylinders", Journal of Thermal Stresses , Vol. 10, pp. 177--191, 1987. [doi] [pdf]

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