A numerical technique for the solution of eigenstrain problem for square notch with small round corners in plane elasticity

Archive of Applied Mechanics(2022)

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摘要
In this paper, the solution of eigenstrain problem for square notch with small round corners is studied. The elastic property of the matrix portion is different to that of the inclusion. Complex variable function method is used to solve the problem. The continuation conditions for traction and displacement along interface are formulated. Those conditions are satisfied in the sense of least of residue. Therefore, the final solution will be evaluated from weight residue technique. The continuation condition for stresses along interface is examined, and the stress state in the inclusion is evaluated.
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关键词
Eshelby’s inclusion, Uniform eigenstrain, Complex variable method, Weight residue technique, Non-uniform stress distribution in inclusion
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