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Multiphase hybrid stress finite element analysis of heterogeneous media by simple mesh: One element with one interface
Author(s) -
Zhang Rui,
Guo Ran
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6330
Subject(s) - finite element method , quadrilateral , mixed finite element method , extended finite element method , simple (philosophy) , finite element limit analysis , smoothed finite element method , displacement (psychology) , stress (linguistics) , measure (data warehouse) , computer science , structural engineering , boundary knot method , engineering , boundary element method , philosophy , linguistics , epistemology , psychology , database , psychotherapist
Summary In this paper, a finite element method is proposed to analyze the microscopic and macroscopic mechanical behaviors of heterogeneous media with randomly distributed inclusions. A simple mesh partitioned the domain into regular quadrilateral or triangular elements, where one element may contain two phases. An assumed stress hybrid formulation is implemented in the finite element model and the functional is derived for an element containing two phases. Numerical examples were used to study the microscopic and macroscopic properties of the composites, such as the effective modulus, to validate of the proposed model. The results show that the proposed multiphase hybrid stress finite element model can accurately measure the stress fields of materials with arbitrary microstructural distributions and improve computational efficiency by about 30 to 1500 times in comparison with the traditional displacement based finite element method.