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Efficient assembly of linearized equations in nonlinear homogenization
Author(s) -
Kunc Oliver,
Fritzen Felix
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900322
Subject(s) - homogenization (climate) , nonlinear system , tangent , stiffness , hyperelastic material , mathematics , tangent stiffness matrix , isotropy , integrator , computer science , mathematical analysis , mathematical optimization , geometry , stiffness matrix , structural engineering , physics , engineering , biodiversity , ecology , computer network , bandwidth (computing) , quantum mechanics , biology
A novel deformation gradient‐based Reduced Basis homogenization method is compared to the well‐established displacement‐based approach in the geometrically nonlinear context. Algorithmic complexity, the intrusiveness, and the simplicity of the each approach are addressed. It is found that the novel method is advantageous in most respects, especially in returning good approximations of the macroscopic tangent stiffness.