Homogenization

Homogenization of elasto-plastic materials by the boundary element method

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Homogenization of elasto-plastic materials by the boundary element method Piotr Fedeliński, Tomasz Czyż Institute of Computational Mechanics and Engineering,Silesian University of Technology,44-100 Gliwice, ul. Konarskiego 18A. DOI: https://doi.org/10.7494/cmms.2013.3.0458 Abstract: The formulation of the initial stress approach of the boundary element method (BEM) for two-dimensional elastoplastic plates subjected to static tractions is presented. The developed computer … Read more

Numerical aspects of computational homogenization

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Numerical aspects of computational homogenization Marta Serafin, Witold Cecot Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków. DOI: https://doi.org/10.7494/cmms.2013.2.0432 Abstract: Computational homogenization enables replacement of a heterogeneous domain by an equivalent body with effective material parameters. Approach that we use is based on two-scale micro/macro analysis. In the micro-scale heterogeneous properties are collected in … Read more

A pod/pgd reduction approach for an efficient parameterization of data-driven material microstructure models

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A pod/pgd reduction approach for an efficient parameterization of data-driven material microstructure models Liang Xia1,2, Balaji Raghavan1, Piotr Breitkopf1, Weihong Zhang2 1Laboratoire Roberval, UMR 7337 UTC-CNRS, UTC, Compiègne, France.2Engineering Simulation and Aerospace Computing (ESAC), NPU, Xi’an, China. DOI: https://doi.org/10.7494/cmms.2013.2.0433 Abstract: The general idea here is to produce a high quality representation of the indicator function … Read more

Computer modelling and analysis of effective properties of composites

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Computer modelling and analysis of effective properties of composites Piotr Fedeliński, Radosław Górski, Grzegorz Dziatkiewicz, Jacek Ptaszny Department of Strength of Materials and Computational Mechanics,Silesian University of Technology,44-100 Gliwice, ul. Konarskiego 18A. DOI: https://doi.org/10.7494/cmms.2011.1.0304 Abstract: In this work, different formulations of the boundary element method (BEM) are presented for an analysis of composites containing rigid … Read more

Homogenization of one dimensional elliptic system

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Homogenization of one dimensional elliptic system Paweł Mitkowski1, Wojciech Mitkowski2 1Faculty of Electrical Engineering, Automatics, Electronics and Computer Science, Akademia Górniczo-Hutnicza, al. Mickiewicza 30, 30-059 Kraków, Poland. 2Department of Automatics, Akademia Górniczo-Hutnicza al. Mickiewicza 30, 30-059 Kraków, Poland. DOI: https://doi.org/10.7494/cmms.2008.3.0197 Abstract: The work presents problem of homogenization of one-dimenional mediums of periodic micrsotructure, and more … Read more