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Damage mechanics models for brittle microcracking solids based on three-dimensional mesoscopic simulations

โœ Scribed by Yutaka Toi; Takanori Kiyosue

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
972 KB
Volume
50
Category
Article
ISSN
0013-7944

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โœฆ Synopsis

Fracture behaviors of brittle polycrystalline solids such as ceramic materials are deeply related to microcracking. Continuum damage meehanics is considered a powerful theoretical framework to deal with brittle microcraeking solids. However, it is fairly difficult to obtain analytically, as well as experimentally, evolution equations for microcracking and reduced elastic compliances of microcracked solids. In the present study, a three-dimensional mesoscopic simulation method using a discontinuum mechanics model is employed to obtain this information. Based on the results of mesoscopic simulations, improved damage mechanics models assuming anisotropy as well as isotropy are proposed. Some numerical studies have been conducted to confirm their validities.

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Based on the analysis of a representative elliptic microcrack embedded in a RVE, the additional compliance tensor induced by an embedded opening/closed microcrack is derived, and that corresponding to the kinked growth of a closed elliptic microcrack is also derived by making use of its approximatel