Analysis of damaged material containing periodically distributed elliptical microcracks by using the homogenization method based on the superposition method |
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Authors: | Tetsuji Kato Toshihisa Nishioka |
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Affiliation: | (1) Department of Ocean Mechanical Engineering, Kobe University of Mercantile Marine, 5-1-1 Fukae Minamimachi, Higashinada-ku, Kobe, 658-0022, Japan |
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Abstract: | The presence of multiple microcracks in a structural component causes material degradation such as reduction in the stiffness or reduction in the fracture toughness of the component. In this paper, the homogenization method is used to evaluate mechanical properties of the damaged material. The adaptation of the superposition method to the homogenization method is also presented. The proposed method makes use of the finite element solution of uncracked solid and the analytical solution. The effective elastic moduli of damaged materials containing lattice-distribution microcracks are estimated by the proposed method. Furthermore, the stress fields and the stress intensity factors of the elliptical microcracks in the damaged material at a micro-mechanics scale are evaluated to illustrate microscopic behavior such as crack interaction. |
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Keywords: | Anisotropy damage mechanics damaged material effective elastic moduli elliptical crack fracture mechanics homogenization method stress intensity factor superposition method VNA solution. |
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