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Indexed by:期刊论文

Date of Publication:2010-05-01

Journal:COMPUTATIONAL MECHANICS

Included Journals:SCIE、EI、Scopus

Volume:45

Issue:6

Page Number:623-635

ISSN No.:0178-7675

Key Words:Truss material; Elasto-plastic analysis; Extended multiscale finite element method; Base function

Abstract:An extended multiscale finite element method is developed for small-deformation elasto-plastic analysis of periodic truss materials. The base functions constructed numerically are employed to establish the relationship between the macroscopic displacement and the microscopic stress and strain. The unbalanced nodal forces in the microscale of unit cells are treated as the combined effects of macroscopic equivalent forces and microscopic perturbed forces, in which macroscopic equivalent forces are used to solve the macroscopic displacement field and microscopic perturbed forces are used to obtain the stress and strain in the microscale to make sure the correctness of the results obtained by the downscale computation in the elastic-plastic problems. Numerical examples are carried out and the results verify the validity and efficiency of the developed method by comparing it with the conventional finite element method.