Establishment of strain gradient constitutive relations by using asymptotic analysis and the finite element method for complex periodic microstructures-Reference-Cited by-同舟云学术

Establishment of strain gradient constitutive relations by using asymptotic analysis and the finite element method for complex periodic microstructures

Published:2018-04 Issue: Volume:136-137 Page:60-76
ISSN:0020-7683
Container-title:International Journal of Solids and Structures
language:en
Short-container-title:International Journal of Solids and Structures

Author:

Barboura Salma^ORCID,Li Jia

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science,Modeling and Simulation

Reference35 articles.

1. Update on a class of gradient theories;Aifantis;Mech. Mater.,2003

2. Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior;Auffray;Int. J. Solids Struct.,2009

3. Second-order homogenization of periodic materials based on asymptotic approximation of the strain energy: formulation and validity limits;Bacigalupo;Meccanica,2014

4. Instability, ductility and size effect in strain softening concrete;Bazant;J. Eng. Mech. Div. ASCE,1976

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