arXiv subjects

Adam Vellender

Publications and source records attributed to Adam Vellender.

2 recordsLinked to original sources

arXiv2017

Interfacial crack integral identities incorporating mean displacement

A semi-infinite crack loaded by a general asymmetric system of forces in an infinite bi-material plane is considered. A boundary integral formulation is derived using the fundamental reciprocal identity (Betti formula). The resulting singular integral equations link the applied loading and the full resulting crack displacement profile (not just the displacement jump across the crack). When used in conjunction with previously derived identities, the new identities allow for the full displacement profile to be derived from crack face loadings and vice versa.

math-ph↗

arXiv2014

Integral identities for an interfacial crack in an anisotropic bimaterial with an imperfect interface

We study a crack lying along an imperfect interface in an anisotropic bimaterial. A method is devised where known weight functions for the perfect interface problem are used to obtain singular integral equations relating the tractions and displacements for both the in-plane and out-of-plane fields. The integral equations for the out-of-plane problem are solved numerically for orthotropic bimaterials with differing orientations of anisotropy and for different extents of interfacial imperfection. These results are then compared with finite element computations.

math-ph↗