A Large Strains Finite Element Multiscale Approach

Abstract

A novel formulation for multiscale finite element analysis of multi-phase solids undergoing large strains is proposed in this paper. Within the described homogenization technique no constitutive assumptions are made at the macrolevel. A crucial aspects of the approach is the modelling of antiperiodic traction on the boundary of the representative volume element, condensation technique and the formulation performed on a deformation-driven context whereby the macroscopic deformation gradient is prescribed. Numerical tests on solids with voids demonstrated the robustness of the technique.

Comparison of periodic mesh and free mesh on the mechanical properties prediction of 3D braided composites

“…Therefore, the mechanical properties of composite structures are often investigated by a micromechanical method based on a representative unit-cell model, so-called multi-scale techniques. The interested reader can refer to [1][2][3] for further details on multi-scale techniques. So far, theoretical analysis [4][5][6][7] and finite element method [8][9][10][11][12][13][14][15] have been widely employed.…”