Analysis of a propagating crack in functionally graded materials with property variation angled to crack direction |
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Authors: | Kwang Ho Lee |
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Affiliation: | aDepartment of Automotive Engineering, Kyungpook National University, Sangju City, Kyeongbuk 742-711, South Korea |
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Abstract: | The stress and displacement fields for a crack propagating in functionally graded materials (FGMs) with property variation angled to crack direction are obtained. The FGMs have a linear variation of shear modulus with a constant density and Poisson’s ratio. The solutions for higher order terms in the dynamic equilibriums are obtained by transforming the general differential equations to Laplace’s equations. Using the stress fields, the effects of the nonhomogeneity and the angled properties on stress components are investigated. In addition to, the contours of the constant maximum shear stress around the static and propagating crack tip are generated. The contours of the constant maximum shear stress around the static and propagating crack tip tilt toward the property gradation direction. |
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Keywords: | Stress and displacement fields Functionally graded materials Static and propagating crack Property variation angled to crack direction Linear variation of shear modulus |
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