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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom