Computational Physics Group

Karel Matouš










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College of Engineering Collegiate Associate Professor of Computational Mechanics

Director of Center for Shock-Wave Processing of Advanced Reactive Materials (C-SWARM)

Department of Aerospace & Mechanical Engineering
emailOffice Mail Address :
Department of Aerospace & Mechanical Engineering
University of Notre Dame
367 Fitzpatrick Hall of Engineering
Notre Dame, IN 46556-5637
Phone: +1-574-631-1376
Fax: +1-574-631-8341

Short Curriculum Vitae

    Research Interests

    image Computational Mechanics and Physics, Computational Science and Engineering
    image Multi-time, Multi-scale, Multi-physics Modeling of Complex Systems   
    image Statistical Micromechanics, Statistical Materials Learning Techniques
    image Experimental and Numerical Microtomography Based Modeling of Materials
    image Numerical Methods and Nonlinear Mechanics
    image High Performance Parallel Computing
    image Optimization Techniques

Recent News

Dr. K. Matouš has been appointed an Associate Editor of the Journal of Computational Physics.

Dr. K. Matouš has been appointed an Associate Editor of the International Journal for Multiscale Computational Engineering.

Dr. K. Matouš lectured at the Isaac Newton Institute for Mathematical Sciences, University of Cambridge UK, on Virtual Materials Testing.

Recent Scientific Discoveries

CPG group conducts one of the largest multiscale damage simulations ever performed. In our recent Extreme Mechanics Letter, we present a simulation consisting of 53.8 Billion finite elements with 28.1 Billion nonlinear equations that is solved on 393,216 computing cores (786,432 threads). The excellent parallel performance of the computational homogenization solver is demonstrated by a strong scaling test from 4,096 to 262,114 cores. A fully coupled multi-scale damage simulation shows a complex crack profile at the micro-scale and the macroscopic crack tunneling phenomenon. Such large and predictive simulations are an important step towards Virtual Materials Testing and can aid in development of new material formulations with extreme properties.

Proceedings of the Royal Society A

For centuries, great minds like Kepler, Maxwell and Einstein have investigated the statistical characterization of many-body systems, and implications of small-scale structures on the macroscopic transport and mechanical properties. In this work, an accurate statistical description of heterogeneous particulate materials is computed using novel adaptive interpolation/integration scheme. This statistical information is then utilized within mathematical theories for predicting the overall thermo-mechanical behavior. For the first time, we predict properties of granular Platonic solids packs and discover a significant shape effect in their thermal-conductivity. Based on this work, a large class of materials with arbitrary inclusions can now be easily studied.

Our recent paper is featured as the cover article in Proceedings of the Royal Society A.

Notre Dame
Aerospace & Mechanical Engineering
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