Balzani, Daniel; Schröder, Jörg; Brands, Dominik; Carstensen, Carsten:
FE2-simulations in elasto-plasticity using statistically similar reprensentative volume elements
2009
In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 9 (2009), Heft 1, S. 39 - 42
Artikel/Aufsatz in Zeitschrift2009Bauwissenschaften
Titel:
FE2-simulations in elasto-plasticity using statistically similar reprensentative volume elements
Autor(in):
Balzani, DanielLSF; Schröder, JörgLSF; Brands, DominikLSF; Carstensen, Carsten
Erscheinungsjahr
2009

Abstract:

In the field of direct homogenization methods large representative volume elements (RVE's) cause a high computational cost, which is indicated by a large number of history variables allocating a large amount of memory. Additionally, a high computation time is necessary to solve the systems of equations on the micro-scale as well as on the macro-scale. In this contribution we focus on random microstructures consisting of a continuous matrix phase with a high number of embedded inclusions with arbitrary morphology. We present a method for the construction of statistically similar representative volume elements (SSRVE's) which are characterized by a much less complexity than usual RVE's in order to obtain an efficient simulation tool. The basic goal of the underlying procedure is to find a SSRVE, where some selected statistical measures describing the inclusion morphology are as close as possible to the ones of the original arbitrary microstructure.