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Shape Optimization of Two-Phase Inelastic Material with Microstructure

By Professor BoĊĦtjan Brank (ed)
From Engineering Computations: International Journal for Computer-Aided Engineering and Software: Engineering Structures: Nonlinear Analysis, Optimal Design and Identification, Volume 22, Number 5/6, 2005

Adnan Ibrahimbegovi?
Ecole Normale Sup rieure de Cachan, LMT-Cachan, Cachan, France
Igor Gre ovnik
Ecole Normale Sup rieure de Cachan, LMT-Cachan, Cachan, France
C3M Center for Computational Continuum Mechanics, Ljubljana, Slovenia
Damijan Markovi?
Ecole Normale Sup rieure de Cachan, LMT-Cachan, Cachan, France
Naravoslovnotehni ka fakulteta, Univerza v Ljubljani, Ljubljana, Slovenia
Sergiy Melnyk
Ecole Normale Sup rieure de Cachan, LMT-Cachan, Cachan, France, and
Toma Rodi?
Naravoslovnotehni ka fakulteta, Univerza v Ljubljani, Ljubljana, Slovenia
C3M Center for Computational Continuum Mechanics, Ljubljana, Slovenia

Engineering Computations: International Journal for Computer-Aided Engineering and Software
Vol. 22 No. 5/6, 2005
pp. 605-645
Emerald Group Publishing Limited
0264-4401
DOI 10.1108/02644400510603032
Received October 2004
Accepted January 2005

Overview

The authors gratefully acknowledge the financial supports by the European Commission, through a Marie Curie Fellowship (contract number HPMF-CT-2002-02130), the French Ministry of Research and the Slovene Ministry of Education, Science and Sport. The work of AI was supported by Alexander von Humboldt Foundation.

Abstract

Purpose Proposes a methodology for dealing with the problem of designing a material microstructure the best suitable for a given goal.

Design/methodology/approach The chosen model problem for the design is a two-phase material, with one phase related to plasticity and another to damage. The design problem is set in terms of shape optimization of the interface between two phases. The solution procedure proposed herein is compatible with the multi-scale interpretation of the inelastic mechanisms characterizing the chosen two-phase material and it is thus capable of providing the optimal form...

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