Journal ArticleDOI
An elliptic crack in an elastic half-space
Arabinda Roy,M. Chatterjee +1 more
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In this paper, the authors considered the effect of the free surface on the stress distribution of an elliptic crack aligned parallel to the free boundary and at a depth h below it.About:
This article is published in International Journal of Engineering Science.The article was published on 1992-07-01. It has received 11 citations till now. The article focuses on the topics: Integral equation & Free boundary problem.read more
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Weight function for an elliptic crack in an infinite medium. I. Normal loading
A. Roy,T. K. Saha +1 more
TL;DR: In this paper, an integral equation method has been used to derive the crack opening displacement of an elliptic crack in an infinite elastic medium subjected to a concentrated pair of point force loading at an arbitrary location on the crack faces.
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Interaction between coplanar elliptic cracks—II shear loading
TL;DR: In this paper, a recently developed integral equation method is used to solve the problem of interaction between coplanar, elliptic cracks under normal loading, where the pair of dual integral equations in a Cartesian system is first transformed to four sets of infinite systems of Fredholm integral equations of the second kind in a cylindrical polar coordinate system.
Journal ArticleDOI
Singular asymptotic solution along an elliptical edge for the Laplace equation in 3-D
TL;DR: In this paper, both homogeneous Dirichlet and Neumann boundary conditions on the surfaces intersecting at the elliptical edge are considered and these asymptotic solutions are composed of three series with eigenfunctions and shadows depending on two coordinates.
Reference BookDOI
Linear and Non-Linear Deformations of Elastic Solids
Arabinda Roy,Rasajit Kumar Bera +1 more
TL;DR: Linear and Non-Linear Deformations of Elastic Solids as discussed by the authors aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics.
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Interactions of a penny-shaped crack with a center of dilatation in an elastic half-space
TL;DR: In this article, the authors considered the interaction between a penny-shaped crack and a center of dilatation in an elastic half-space and decomposed the problem into two auxiliary problems.
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
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Tables of Integrals, Series, and Products
Related Papers (5)
The stress intensity factor at the tip of an edge crack in an elastic half-plane
Ian N. Sneddon,S.C. Das +1 more
Weight function for an elliptic crack in an infinite medium. I. Normal loading
A. Roy,T. K. Saha +1 more