Spherical harmonics method for computing the image stress due to a spherical void
作者： Yifan Wang , Xiaohan Zhang , Wei Cai
DOI: 10.1016/J.JMPS.2019.01.020
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摘要: Abstract We develop an efficient numerical method for calculating the image stress field induced by spherical voids in materials, and applied to dislocation-void interactions. The is constructed based on a complete set of basis functions displacement potential elastic boundary value problem hole, as well corresponding displacement, stress, traction fields, all terms linear combinations harmonics. Using fast transformation between real spherical-harmonics spaces provided SHTOOLS package, more than other solvers such finite-element method. This can be readily extended solving elasticity problems involving inclusions inhomogeneities, contact spheres. tools developed here also useful solution differential equations with boundaries beyond elasticity.
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