Asymptotic fields near an interface corner in orthotropic bi-materials

Abstract

Based on the existing asymptotic solutions of the displacement and singular stress fields in the vicinity of a singular point in 2D orthotropic elastic materials, the two simple eigenequations are explicitly given for the symmetric and anti-symmetric deformation modes to determine the orders of the stress singularity at the interface corner in orthotropic bi-materials, respectively. The related displacement and singular stress fields near the interface corner are also explicitly established. The relevant stress intensity factors are defined as in the case of crack problems. The theoretical results have been confirmed by numerical, finite-element-based results in a special bi-material case. The solution obtained in this paper may be applied to the interface corner in the orthotropic/orthotropic, orthotropic/isotropic, and isotropic/isotropic bi-materials, and it will be very useful to evaluate the strength of the bonded orthotropic bi-materials with interface corners.

On ensuring structural integrity for configurations with stress singularities: a review

“…Recent reviews of such asymptotic identifications are available . Additional recent asymptotic identifications are also available …”

“…For classical elasticity with local configurations comprised of isotropic and piecewise homogeneous, linear elastic materials, all the stress singularities asymptotically identified that have been found to date since 2004 18 are discussed in the studies. Examples of stress singularities identified since 2004 for anisotropic elastic materials are given in the previous studies [63][64][65][66][67][68][69][70][71][72][73][74][75][76] ; for functionally graded elastic materials [74][75][76][77][78][79] ; for finite strain in elastic materials 80 ; and for varying size scales. 81 Of late there has been increased interest in fluid-solid interaction problems.…”