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On a multiscale computational strategy with time and space homogenization for structural mechanics

✍ Scribed by Pierre Ladevèze; Anthony Nouy

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
565 KB
Volume
192
Category
Article
ISSN
0045-7825

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✦ Synopsis

A new multiscale computational strategy was recently proposed for the analysis of structures described both on a fine space scale and a fine time scale. This strategy, which involves homogenization in space as well as in time, could replace in several domains of application the standard homogenization techniques, which are generally limited to the space domain. It is an iterative strategy which calls for the resolution of problems on both a micro (fine) scale and a macro (homogenized) scale. In this paper, we review the bases of this approach and present improved approximation techniques to solve the micro-and macro-problems.

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A variable order method of integrating the structural dynamics equations that is based on the state transition matrix has been developed. The method has been evaluated for linear time variant and nonlinear systems of equations. When the time variation of the system can be modeled exactly by a polyno