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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v4.i4.10
pages 411-428

Applications of s-FEM to the Problems of Composite Materials with Initial Strain-Like Terms

Satoyuki Tanaka
Department of Nano-structure and Advanced Materials, Graduate School of Science and Engineering, Kagoshima University, 1-21-40 Korimoto, Kagoshima 890-0065, Japan
Hiroshi Okada
Department of Nano-structure and Advanced Materials, Graduate School of Science and Engineering, Kagoshima University, 1-21-40 Korimoto, Kagoshima 890-0065, Japan
Yoshimi Watanabe
Department of Engineering Physics, Electronics and Mechanics, Graduate School of Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan
Teppei Wakatsuki
Department of Engineering Physics, Electronics and Mechanics, Graduate School of Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan

ABSTRACT

In this paper, the applications of s-FEM that involve initial strain-like terms are presented. When s-FEM is applied to the analyses of composite materials, the overall structure or the region of unit cell is modeled by a global finite element model and each reinforcing particle/fiber and its immediate vicinity are modeled by a local finite element model. Many local finite element models are placed in the analysis region and they are allowed to overlap each other. When the particles/fibers are the same in their shapes, the same local finite element models can be placed repeatedly. Therefore, generating an analysis model that has many particles/fibers is a simple task. Modifying their distributions is even more trivial. The s-FEM formulation is extended so that it can incorporate with the initial strain-like terms first. The formulations for the analyses of residual stress and of elasto-viscoplastic problems are presented. Numerical procedures to form stiffness matrices and how to choose material and strain history data when finite elements overlap each other are then discussed. We solved the problems of wavy shape memory alloy fiber/plaster composite material and of particulate composite material whose matrix material experiences an elasto-viscoplastic deformation.


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