The model of eye-shaped voids: Elasticity solution and its applications in material failures via morphological transformation

This paper presents a model for investigating the variation of the total free energy of an infinite solid that contains a void and is subject to biaxial loading. The void shape in the model, which is controlled by three independent parameters, ranges from circles, ellipses, to eye-shaped profiles wi...

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Bibliographic Details
Published inJournal of the mechanics and physics of solids Vol. 137; p. 103822
Main Author Chiu, Cheng-Hsin
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 01.04.2020
Elsevier BV
Subjects
Biaxial loads
Cusps
Elasticity
Free energy
Material failures
Morphological transformation
Morphology
Shape effects
Voids
Voids
Elasticity
Material failures
Cusps
Morphological transformation
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ISSN0022-5096
1873-4782
DOI10.1016/j.jmps.2019.103822

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Summary:This paper presents a model for investigating the variation of the total free energy of an infinite solid that contains a void and is subject to biaxial loading. The void shape in the model, which is controlled by three independent parameters, ranges from circles, ellipses, to eye-shaped profiles with smooth tips or sharp cusps. In addition to the different shapes, the model also has the advantage that the corresponding elasticity problem can be solved exactly. As an application, the model is adopted to investigate the effects of the void shape on material failures via morphological transformation from the energetic point of view.
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ISSN:0022-5096
1873-4782
DOI:10.1016/j.jmps.2019.103822