Stress field around an elliptical hole with surface tension in an anisotropic half-plane

Abstract eng:
We examine the surface tension-induced stress concentration around an elliptical hole inside an anisotropic half-plane with traction- free surface. Using conformal mapping techniques, the corresponding complex potential in the half-plane is expressed in a series whose unknown coefficients are determined numerically. Our results indicate that surface tension makes a significant contribution to the stress concentration around the hole as the size of the hole approaches the nanoscale. In particular, we find that, with decreasing distance between the hole and the free surface, the hoop stress can switch from compressive to tensile at certain points on the hole’s boundary and from tensile to compressive at others. This phenomenon is absent in the case of an elliptical or even circular hole with surface tension in an isotropic half-plane. (this work forms part of a paper recently submitted for publication [1])

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