Non-singular stresses in gradient elasticity at bi-material interface with transverse crack. (English) Zbl 1273.74423

Summary: Bi-material interfaces are studied with cracks that end perpendicular to the interface. As is well-known, singularities in the stresses appear when classical elasticity is used. Moreover, the nature of the singularity depends on the difference in elastic constants of the two materials. In this paper, the gradient elasticity theory of Aifantis is used to remove these singularities. This is demonstrated for a range of ratios between the two Young’s moduli.


74R10 Brittle fracture
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