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International Journal for Multiscale Computational Engineering
Impact-faktor: 1.016 5-jähriger Impact-Faktor: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v1.i4.30
22 pages

Homogeneous Analysis of Periodic Assemblies of Elastoplastic Disks in Contact

Hongwu Zhang
Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, P. R. China
D. P. Boso
Department of Constructions and Transportations, University of Padua, Via Marzolo, 9, I-35131 Padova, Italy
Bernhard Schrefler
Department of Ingegneria Civile, Edile e Strutturale e Trasporti University of Padua, Via Marzolo 9, 35131 Padua, Italy


The objective of this article is to capture the macroscopic behavior of an assembly of elastic and inelastic disks in contact by means of a numerical homogenized constitutive relation. An important feature of this work is that the evolving yield surfaces at the macroscopic level are defined through a quasi-static frictional contact analysis of the microstructure composed of deformable elastic and inelastic disks by means of a parametric quadratic programming principle and its corresponding algorithm in numerical analysis. The flow rule and the hardening parameters needed for an elastic—plastic analysis at macroscopic level are directly obtained from the numerically constructed yield surfaces in a self-consistent manner. The generality of the algorithm for the homogeneous analysis is pointed out and, in principle, can be applied to any kind of nonlinear behavior affecting the representative volume element. Numerical examples are given to demonstrate the efficiency of the algorithm presented in this article.