Journal ArticleDOI
Analysis of an isotropic finite wedge under antiplane deformation
TLDR
In this paper, the antiplane deformation of an isotropic wedge with finite radius is studied and the solution of governing differential equations is accomplished by means of finite Mellin transforms.About:
This article is published in International Journal of Solids and Structures.The article was published on 1997-01-01. It has received 41 citations till now. The article focuses on the topics: Boundary value problem & Wedge (geometry).read more
Citations
More filters
Journal ArticleDOI
On the stress singularities at multimaterial interfaces and related analogies with fluid dynamics and diffusion
Marco Paggi,Alberto Carpinteri +1 more
TL;DR: In this paper, an overview of interface mechanical problems leading to stress singularities is proposed to show their relevance in engineering, and mathematical methods for the asymptotic analysis of stress singularity in multimaterial junctions and wedges composed of isotropic linear-elastic materials are reviewed and compared, with special attention to in-plane and out-ofplane loadings.
Journal ArticleDOI
Antiplane stress analysis of an isotropic wedge with multiple cracks
TL;DR: In this paper, an infinite isotropic wedge weakened by a screw dislocation is considered and the Mellin transform is utilized to solve the governing differential equation, and the resultant system of singular integral equations is solved numerically to determine dislocation density on cracks surfaces.
Journal ArticleDOI
Analysis of perfectly bonded wedges and bonded wedges with an interfacial crack under antiplane shear loading
Amir Reza Shahani,S. Adibnazari +1 more
TL;DR: In this article, the authors studied the antiplane shear deformation of perfectly bonded and interfacial crack-free isotropic wedges and showed that the strength of singularity at the apex of the crack can be computed analytically.
Journal ArticleDOI
Mode III stress intensity factors for edge-cracked circular shafts, bonded wedges, bonded half planes and DCB’s
TL;DR: In this article, analytical expressions for the mode III stress intensity factor (SIF) of circular shafts with edge cracks, bonded half planes containing an interfacial edge crack, and also DCB's were derived for simple isotropic materials as well as anisotropic materials.
Journal ArticleDOI
Analysis of an Anisotropic Finite Wedge under Antiplane Deformation
TL;DR: In this article, the antiplane deformation of an anisotropic wedge with finite radius is considered within the classical linear theory of elasticity, and the solution to the governing differential equation of the problem is accomplished in the complex plane by relating the displacement field to a complex function.
References
More filters
Journal ArticleDOI
Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension
TL;DR: In this paper, the authors investigated three boundary conditions on the radial edges: free-free, clamped-clamped, and clamped free, and showed that the free free extensional plate behaves locally at the origin exactly the same as a clampedclamped plate in bending, independent of Poisson's ratio.
Journal ArticleDOI
Explicit solution and invariance of the singularities at an interface crack in anisotropic composites
TL;DR: In this paper, it was shown that δ is invariant with respect to the orientation of the plane boundary (in the case of half-plane problems), the semi-infinite crack and the crack and interface relative to the materials.
Journal ArticleDOI
On the stress singularities in the plane elasticity of the composite wedge
John P. Dempsey,G. B. Sinclair +1 more
TL;DR: In this paper, a composite, two-dimensional, linear elastic wedge for singular stresses at its vertex is examined and a full range of wedge boundary and matching conditions is considered, using separation of variables on the Airy stress function.
Journal ArticleDOI
The use of the mellin transform in finding the stress distribution in an infinite wedge
TL;DR: In this paper, a formal solution for the stress distribution in an infinite wedge under fairly general conditions of surface loading was obtained for the particular case in which each surface is subjected to unit pressure for a finite distance measured from the vertex of the wedge, which can be evaluated exactly when the wedge is a semi-infinite solid and in a form suitable for numerical computation for other wedge angles.
Related Papers (5)
Analysis of dissimilar anisotropic wedges subjected to antiplane shear deformation
Ma Chien-Ching,Hour Bao-Luh +1 more
Analysis of perfectly bonded wedges and bonded wedges with an interfacial crack under antiplane shear loading
Amir Reza Shahani,S. Adibnazari +1 more