Computational Physics Group

Karel Matous



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Books and Book Chapters


   K. Matous "Analysis and Optimization of Composite Materials and Structures", (Ph.D. thesis) Published as CTU Reports Volume 4 No. 3/2000, 93 pages, ISBN 80-01-02184-X, Prague, 2000.

pic  Chapter_nonlinearC M.G.D. Geers, V.G. Kouznetsova, K. Matous and J. Yvonnet, Chapter_nonlinearCH.dvi Chapter_nonlinearCH.dvi Homogenization methods and multiscale modeling: non-linear problems in Encyclopedia of Computational Mechanics, Edited by Erwin Stein, Rene de Borst and Thomas J.R. Hughes, 2004 John Wiley & Sons, in press (2015). Chapter_nonlinearCH.dvi

Special Issues


pic  Recent Advances in Computational Materials Science and Multiscale Materials Modeling, C. Oskay and K. Matous (Eds.), Special Issue: International Journal for Multiscale Computational Engineering, Volume 8, Issue 5, Begell House (2010).

Articles in Refereed Journals


[1] K. Matous, M. Leps, J. Zeman and M. Sejnoha, "Applying genetic algorithms to selected topics commonly encountered in engineering practice", Computer Methods in Applied Mechanics and Engineering, 190 (13-14), 1629--1650 (2000).

[2] K. Matous and G.J. Dvorak, "Design of Prestressed Skin/Flange Assembly", Journal of Sandwich Structures and Materials, 4 (4), 367--387 (2002).

[3] K. Matous and G.J. Dvorak, "Stress Redistribution in Skin/Flange Assemblies", Mechanics of Advanced Materials and Structures, 9, 293--308 (2002).

[4] J. Kruis, K. Matous and Z. Dostal, "Solving Laminated Plates by Domain Decomposition", Advances in Engineering Software, 33, 445--452 (2002).

[5] K. Matous and G.J. Dvorak, "Optimization of Electromagnetic Absorption in Laminated Composite Plates", IEEE Transactions on Magnetics, 39(3), 1827--1835 (2003).

[6] K. Matous, "Damage evolution in particulate composite materials", International Journal of Solids and Structures, 40 (6), 1489--1503 (2003).

[7] K. Matous and A.M. Maniatty, "Finite Element Formulation for Modeling Large Deformations in Elasto-viscoplastic Polycrystals", International Journal for Numerical Methods in Engineering, 60, 2313--2333 (2004).

[8] K. Matous and G.J. Dvorak, "Analysis of tongue and groove joints for thick laminates", Composites: Part B , 35(6-8), 609--617 (2004).

[9] K. Matous and P.H. Geubelle, "Multiscale Modeling of Particle Debonding in Reinforced Elastomers Subjected to Finite Deformations", International Journal for Numerical Methods in Engineering, 65, 190--223 (2006).

[10] K. Matous and P.H. Geubelle, "Finite Element Formulation for Modeling Particle Debonding in Reinforced Elastomers Subjected to Finite Deformations", Computer Methods in Applied Mechanics and Engineering, 196, 620--633 (2006).

[11] H.M. Inglis, P.H. Geubelle, K. Matous, H. Tan and Y. Huang, "Cohesive Modeling of Dewetting in Particulate Composites: Micromechanics vs. Multiscale Finite Element Analysis", Mechanics of Materials, 39(6), 580--595 (2007).

[12] K. Matous, H.M. Inglis, X. Gu, D. Rypl, T.L. Jackson and P.H. Geubelle, "Multiscale modeling of solid propellants: From particle packing to failure", Composites Science and Technology, 67, 1694--1708 (2007).

[13] N.C. Kumar, K. Matous and P.H. Geubelle, "Reconstruction of periodic unit cells of multimodal random particulate composites using genetic algorithms", Computational Materials Science, 42, 352--367 (2008).

[14] K. Matous, M.G. Kulkarni and P.H. Geubelle, "Multiscale cohesive failure modeling of heterogeneous adhesives", Journal of the Mechanics and Physics of Solids, 56, 1511--1533 (2008).

[15] H.M. Inglis, P.H. Geubelle and K. Matous, "Boundary condition effects on multiscale analysis of damage localization", Philosophical Magazine, 88(16), 2373--2397 (2008).

[16] P. Areias and K. Matous, "Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials", International Journal for Numerical Methods in Engineering, 76, 1185--1201 (2008).

[17] M. Gates, K. Matous and M.T. Heath, "Asynchronous multi-domain variational integrators for nonlinear problems", International Journal for Numerical Methods in Engineering, 76, 1353--1378 (2008).

[18] P. Areias and K. Matous, "Finite element formulation for modeling nonlinear viscoelastic elastomers", Computer Methods in Applied Mechanics and Engineering, 197, 4702--4717 (2008).

[19] K.R. Srinivasan, K. Matous and P.H. Geubelle, "Generalized finite element method for modeling nearly incompressible bimaterial hyperelastic solids", Computer Methods in Applied Mechanics and Engineering, 197, 4882--4893 (2008).

[20] M.G. Kulkarni, P.H. Geubelle and K. Matous, "Multi-scale modeling of heterogeneous adhesives: Effect of particle decohesion", Mechanics of Materials, 41, 573--583 (2009).

[21] K.R. Srinivasan, K. Matous, P.H. Geubelle and T.L. Jackson, "Thermomechanical modeling of regressing heterogeneous propellants", Journal of Computational Physics, 228, 7883--7901 (2009).

[22] H. Lee, M. Brandyberry, A. Tudor and K. Matous, "Three-dimensional reconstruction of statistically optimal unit cells of polydisperse particulate composites from microtomography", Physical Review E, 80(6), 061301-1 -- 061301-12  (2009).

[23] K. Matous and A.M. Maniatty, "Multiscale Modeling of Elasto-Viscoplastic Polycrystals Subjected to Finite Deformations", Interaction and Multiscale Mechanics: an International Journal, 2(4), 375--396 (2009).

[24] R. Abedi, M.A. Hawker, R.B. Haber and K. Matous, "An adaptive spacetime discontinuous Galerkin method for cohesive models of elastodynamic fracture", International Journal for Numerical Methods in Engineering, 81, 1207--1241 (2010).

[25] M. Benes and  K. Matous, "Asynchronous multi-domain variational integrators for nonlinear hyperelastic solids", Computer Methods in Applied Mechanics and Engineering, 199, 1992--2013 (2010).

[26] M.G. Kulkani, K. Matous and P.H. Geubelle, "Coupled Multi-scale Cohesive Modeling of Failure in Heterogeneous Adhesives", International Journal for Numerical Methods in Engineering84, 916--946 (2010).

[27] B.C. Collins, K. Matous and D. Rypl, "Three-dimensional reconstruction of statistically optimal unit cells of multimodal particulate composites", International Journal for Multiscale Computational Engineering, 8(5), 489--507 (2010).

[28] H. Lee, A.S. Gillman and K. Matous, "Computing overall elastic constants of polydisperse particulate composites from microtomographic data", Journal of the Mechanics and Physics of Solids, 59, 1838--1857 (2011).

pics [29] J.C. Goetz and K. Matous, "Shock Analysis and Optimization of Two-Layered Cellular Materials Subject to Pulse Loading", International Journal of Impact Engineering, 57, 55--69 (2013).

pics [30] A. Gillman, K. Matous and S. Atkinson, "Microstructure Statistics Property Relations of Anisotropic Polydisperse Particulate Composites using Tomography", Physical Review E, 87(2) 022208-1 --  022208-19 (2013).

pics [31] A. Gillman and K. Matous, "Third-Order Model of Thermal Conductivity for Random Polydisperse Particulate Materials using Well-Resolved Statistical Descriptions from Tomography", Physics Letters A, 378, 3070--3073 (2014).

pics [32] M. Mosby and K. Matous, "Hierarchically parallel coupled finite strain multiscale solver for modeling of heterogeneous layers", International Journal for Numerical Methods in Engineering, 102, 748--765 (2015).

pics [33] A. Gillman, G. Amadio, K. Matous and T.L. Jackson, "Third-order Thermo-mechanical Properties for Packs of Platonic Solids Using Statistical Micromechanics", Proceedings of the Royal Society A, 471(2177), 20150060 (2015).

pic [34] M. Mosby and K. Matous, "On mechanics and material length scales of failure in heterogeneous interfaces using a finite strain high performance solver", Modelling and Simulation in Materials Science and Engineering, 23, 085014 (2015).

pic [35] M. Mosby and K. Matous, "Computational Homogenization at Extreme Scales", Extreme Mechanics Letters, 6, 68--74 (2016).

pic [36] W. Subber and K. Matous, "Asynchronous Space-Time Algorithm based on a Domain Decomposition Method for Structural Dynamics Problems on Non-Matching Meshes", Computational Mechanics, 57(2), 211--235 (2016).

pic [37] S. Bhattacharjee and K. Matous, "A Nonlinear Manifold-based Reduced Order Model for Multiscale Analysis of Heterogeneous Hyperelastic Materials", Journal of Computational Physics, 31, 635--653 (2016).

pic [38] C. Shuck, M. Frazee, A. Gilman, M. Beason, I. Gunduz, K. Matous, R. Winarski and A. Mukasyan, "X-Ray Nanotomography and Focused Ion Beam Sectioning for Quantitative Three-dimensional Analysis of Nanocomposites", Journal of Synchrotron Radiation, 23(4), 990--996 (2016).

pic [39] K. Matous, M.G.D. Geers, V.G. Kouznetsova, A. Gillman, "A Review of Predictive Nonlinear Theories for Multiscale Modeling of Heterogeneous Materials", Journal of Computational Physics, 330, 192--220 (2017).

pic [40] A. Gillman, M.J.G.H. Roelofs, K. Matous, V.G. Kouznetsova, O. van der Sluis and M.P.F.H.L. van Maris, "Microstructure Statistics--Property Relations of Silver Particle-Based Interconnects", Materials & Design, 118, 304--313 (2017).

pic [41] D. Yushu, S. Lee and K. Matous, "Sharp Volumetric Billboard Based Characterization and Modeling of Complex 3D Ni/Al High Energy Ball Milled Composites", Mechanics of Materials, 108, 93--106 (2017).

pic [42] A. Salvadori, S. Lee, A. Gillman, K. Matous, C. Shuck, A. Mukasyan, M.T. Beason, I.E. Gunduz, S.F. Son, "Numerical and experimental analysis of the Young's modulus of cold compacted powder materials", Mechanics of Materials, 112, 56--70 (2017).

pic [43] W. Subber and K. Matous "Asynchronous Space-Time Domain Decomposition Method with Localized Uncertainty Quantification", Computer Methods in Applied Mechanics and Engineering, in press, (2017).

2017 University of Notre Dame and Prof. Karel Matous