The Crack-Tip Higher Order Asymptotic Fields for a Mode III Crack in a Functionally Gradient Material

Yao Dai; Xiu Fa  Yan; Chang Qing Sun; Wei Tan

doi:10.4028/www.scientific.net/AMR.33-37.713

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Study on a New Type of Analogue Material for Geotechnical Tests and its Applications
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Nonlinear Stability of Fixed-Fixed FGM Arches Subjected to Mechanical and Thermal Loads
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Theoretical Investigation on Horizontally Shear Waves in a Functionally Gradient Piezoelectric Material Plate
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The Crack-Tip Higher Order Asymptotic Fields for a Mode III Crack in a Functionally Gradient Material
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Plastic Crushing Behavior of Thin-Walled Spheres
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Saint-Venant End Effects of Transversely Isotropic Piezoelectric Materials
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Multi-Scale Strength Evaluations of SiC Particle Reinforced Aluminum Alloy by Using FEM Superposition Method
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Mesh Generation of Revealable and Non-Revealable Multi-Shaped Sub-Domains
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 33-37The Crack-Tip Higher Order Asymptotic Fields for a...

The Crack-Tip Higher Order Asymptotic Fields for a Mode III Crack in a Functionally Gradient Material

Abstract:

Crack-tip higher order stress and displacement fields for a mode III crack along the direction of property variation in a functionally gradient material (FGM), which has a power variation of shear modulus along the gradient direction, are obtained through the asymptotic analysis. The asymptotic expansions of crack tip stress fields are derived to explicitly bring out the influence of non-homogeneity on the structure of the stress field. The analysis reveals that only the higher order terms in the expansion are influenced by the material non-homogeneity. Moreover, it can be seen from expressions of higher order stress fields that at least three terms must be considered in the case of FGMs in order to explicitly and theoretically account for non-homogeneity effects on crack tip stress fields.