Multi-scale modelling of heterogeneous shell structures

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Authors

  • T. J. Massart Universit´e Libre de Bruxelles (ULB), Belgium
  • B. C.N. Mercatoris Universit´e Libre de Bruxelles (ULB), Belgium
  • B. Piezel Universit´e Libre de Bruxelles (ULB), Belgium
  • P. Berke Universit´e Libre de Bruxelles (ULB), Belgium
  • L. Laiarinandrasana Centre des Mat´eriaux – Mines ParisTech, France
  • A. Thionnet Universit´e de Bourgogne, France

Abstract

This paper reviews multi-scale computational homogenisation frameworks for the non-linear behaviour of heterogeneous thin planar shells. Based on a review of some of the currently available methods, a computational homogenisation scheme for shells is applied on to representative volume elements for plain weave composites. The effect of flexural loading on the potential failure modes of such materials is analysed, focusing on the reinforcement-matrix delamination mechanism. The attention is next shifted toward failure localisation in masonry unit cells. Subsequently, a recently developed computational FE2 solution scheme accounting for damage localisation at structural scales based on RVE computations is applied.

Keywords:

thin planar shells, computational homogenisation, failure, textile reinforced composites, masonry