On domain symmetry and its use in homogenization

DOI10.1016/j.cma.2017.01.009zbMath1439.74332OpenAlexW2592392765MaRDI QIDQ2309833

Seth E. Watts, Daniel A. Tortorelli, Cristian Barbarosie

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2017.01.009

zbMATH Keywords

finite element methodinverse homogenizationsymmetric domain

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Effective constitutive equations in solid mechanics (74Q15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Anisotropic yield models for lattice unit cell structures exploiting orthotropic symmetry ⋮ Symmetry considerations for topology design in the elastic inverse homogenization problem

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetry, groups, and boundary value problems. A progressive introduction to noncommutative harmonic analysis of partial differential equations in domains with geometrical symmetry
• A group-theoretic approach to computational bifurcation problems with symmetry
• Groups of congruences and restriction matrices
• Restriction matrices for numerically exploiting symmetry
• Group-theoretic exploitations of symmetry in computational solid and structural mechanics
• On the Elastic Deformation of Symmetric Periodic Structures
• Exploiting partial or complete geometrical symmetry in 3D symmetric Galerkin indirect BEM formulations

This page was built for publication: On domain symmetry and its use in homogenization