TY - JOUR
T1 - Microscopic stress analysis of heterogeneous media by finite element mesh superposition method
AU - Takano, Naoki
AU - Zako, Masaru
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2001
Y1 - 2001
N2 - Multiscale Modeling for heterogeneous media such as fiber or particulate reinforced composite materials and porous materials is one of the recent topics in computational mechanics and materials science. Homogenization technique has been, studied and used for the micro-macro bridging under the conditions of periodicity of the microstructures and of uniformity of macroscopic field. However, these two conditions make the evaluation of microscopic stresses using the homogenized model useless in the real applications, because the stresses with high gradient at the interface, edge or surface as well as the stress concentration due to voids etc. must be calculated. To solve this problem, in this paper, the finite element mesh superposition method is employed to calculate the microscopic stresses directly for local heterogeneity without the periodicity under non-uniform macroscopic strain field. Through two numerical examples, the efficiency of the modeling and the effectiveness of the microscopic stress evaluation are discussed.
AB - Multiscale Modeling for heterogeneous media such as fiber or particulate reinforced composite materials and porous materials is one of the recent topics in computational mechanics and materials science. Homogenization technique has been, studied and used for the micro-macro bridging under the conditions of periodicity of the microstructures and of uniformity of macroscopic field. However, these two conditions make the evaluation of microscopic stresses using the homogenized model useless in the real applications, because the stresses with high gradient at the interface, edge or surface as well as the stress concentration due to voids etc. must be calculated. To solve this problem, in this paper, the finite element mesh superposition method is employed to calculate the microscopic stresses directly for local heterogeneity without the periodicity under non-uniform macroscopic strain field. Through two numerical examples, the efficiency of the modeling and the effectiveness of the microscopic stress evaluation are discussed.
KW - Computational mechanics
KW - Finite element method
KW - Heterogeneity
KW - Microstructure
KW - Multiscale analysis
KW - Numerical analysis
KW - Stress analysis
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U2 - 10.1299/kikaia.67.603
DO - 10.1299/kikaia.67.603
M3 - Article
AN - SCOPUS:0002622321
VL - 67
SP - 603
EP - 610
JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
SN - 0387-5008
IS - 656
ER -