Abstract
By the method of eigenfunctions, we analyze the stresses formed at the vertex of a multicomponent wedge formed by homogeneous elastic wedges under the conditions of plane stress state or plane deformation. The exponent of the singularity of stresses in the case of opening and shift of the wedges is numerically determined. The singular stresses formed near the vertex are investigated both for softer and stiffer wedges.
Highlights
1 INTRODUCTION According to Linear Elastic Fracture Mechanics, stress-singularities occur in multi-material junctions
The aim of the present paper is to investigate, from the theoretical point of view, on the order of the stress-singularity arising from tri-material junctions
The general problem of multi-material junctions is formulated within the framework of the eigenfunction expansion method [1]
Summary
According to Linear Elastic Fracture Mechanics, stress-singularities occur in multi-material junctions. Such problems have been extensively studied in composite plates since the pioneering papers by Williams [1,2], Bogy [3,4] and Theocaris [5]. The aim of the present paper is to investigate, from the theoretical point of view, on the order of the stress-singularity arising from tri-material junctions. These boundary-value problems in plane elasticity have been mainly solved by using either the Mellin transform technique [6,7] or the Muskhelishvili complex function representation [5,8,9]. The influence of initial defects is taken into account by considering the limit cases of cracks inside either the softer or the stiffer material
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