Premium
A nonlinear FE‐HMM formulation along with a novel algorithmic structure for finite deformation elasticity
Author(s) -
Eidel Bernhard,
Fischer Andreas,
Gote Ajinkya
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800457
Subject(s) - hyperelastic material , homogenization (climate) , finite element method , nonlinear system , hidden markov model , nonlinear elasticity , computer science , elasticity (physics) , mathematics , algorithm , structural engineering , materials science , composite material , engineering , artificial intelligence , physics , biodiversity , ecology , quantum mechanics , biology
This contribution presents a nonlinear formulation of the Finite Element Heterogeneous Multiscale Method (FE‐HMM) for the homogenization of microheterogeneous solids. Moreover, a novel algorithmic structure is proposed for FE‐HMM, FE 2 and alike, which enables for hyperelastic constitutive laws a considerable speed‐up compared to the existing standard.