A transverse crack tip field in bimaterial

杜善义,; 石志飞,; 吴林志,

doi:10.1007/bf02487615

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2019

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“…Other interesting works on the topic using analytical asymptotic expansion, numerical and/or experimental investigations were performed in [49][50][51][52][53][54][55][56][57][58] (see [59,60] for a review and references). The more complicated crack terminating at bi-material interface problem with arbitrary angles was analyzed in [61] and [62] for a crack perpendicular to the interface. All previous contributions performed with different hyperelastic potentials and the plane deformation or stress hypothesis have shown no oscillatory singular behavior (except in [57]).…”

Section: Introductionmentioning

confidence: 99%

The anti-plane shear elasto-static fields near a crack terminating at an isotropic hyperelastic bi-material interface

Grine

Trifa²,

Arfaoui³

et al. 2019

Mathematics and Mechanics of Solids

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In the framework of hyperelasticity, we treat the configuration of a terminated crack at the interface of an incompressible full plane composite. Considering the traction-free boundary conditions, three particular cases are discussed when a cylinder is subjected to an anti-plane shear transformation. Taking all these conditions into account, an asymptotic analysis is performed to identify the sufficient orders contributing to the singular form of the Cauchy stress static fields. Adding to that, an inquiry about the presence of logarithmic singularities was achieved using the approach of Dempsey and Sinclair.

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