Engineering Computations: International Journal for Computer-Aided Engineering and Software: Engineering Structures: Nonlinear Analysis, Optimal Design and Identification, Volume 22, Number 5/6, 2005

Multi-scale Modeling of Heterogeneous Structures with Inelastic Constitutive Behaviour Part I Physical and Mathematical Aspects :

Damijan Markovic
Ecole Normale Sup rieure de Cachan, LMT Cachan, Wilson, Cachan, France
Rainer Niekamp
Institute of Scientific Computing, Technische Universit t Braunschweig, Braunschweig, Germany
Adnan Ibrahimbegovi?
Ecole Normale Sup rieure de Cachan, LMT Cachan, Wilson, Cachan, France
Hermann G. Matthies
Institute of Scientific Computing, Technische Universit t Braunschweig, Braunschweig, Germany, and
Robert L. Taylor
Department of Civil & Environmental Engineering, University of California at Berkeley, Berkeley, California, USA

Engineering Computations: International Journal for Computer-Aided Engineering and Software
Vol. 22 No. 5/6, 2005
pp. 664-683
Emerald Group Publishing Limited
0264-4401
DOI 10.1108/02644400510603050
Received November 2004
Accepted January 2005

Overview

The work was supported by the French Ministry of Science, Ecole Normale Sup rieure invited professors funding program and the Slovene Ministry of Science, Education and Sport, to which the authors acknowledge gratefully.

Abstract

Purpose To provide a computational strategy for highly accurate analyses of non-linear inelastic behaviour for heterogeneous structures in civil and mechanical engineering applications

Design/methodology/approach Adapts recent developments on mathematical formulations of multi-scale problems to the recently developed component technology based on C++ generic templates programming.

Findings Provides the understanding how theoretical hypotheses, concerning essentially the multi-scale interface conditions, affect the computational precision of the strategy.

Practical implications The present approach allows a very precise modelling of multi-scale aspects in structural mechanics problems and can play an essential tool in searching for an optimal structural design.

Originality/value Provides all the ingredients for constructing an...

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