Journal ArticleDOI
The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method
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TLDR
A version of the boundary integral equation method applicable to elliptic boundary value problems for domains with curved boundaries and mixed boundary conditions (Dirichlet, Neumann and third type) is described in this paper.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1981-06-01. It has received 52 citations till now. The article focuses on the topics: Mixed boundary condition & Boundary value problem.read more
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BIE fracture mechanics analysis: 25 years of developments
TL;DR: The role played by the Somigliana stress identity in providing unique algorithms and numerical results for fracture mechanics analysis not available to the finite element method has been discussed in this paper, where the authors focus on the role played in the role of the stress identity.
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Efficient boundary element analysis of sharp notched plates
TL;DR: In this article, the boundary element singularity subtraction technique was further developed to provide an efficient and accurate method of analysing the general mixed-mode deformation of two-dimensional linear elastic structures containing sharp notches.
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An integral equation method for the solution of singular slow flow problems
TL;DR: In this article, a biharmonic boundary integral equation (BBIE) method is used to solve a two dimensional contained viscous flow problem and analytic expressions are used for the piecewise integration of all the kernel functions rather than the more time-consuming method of Gaussian quadrature.
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Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities
TL;DR: In this article, a modified version of the method of fundamental solutions which incorporates the singular behavior of the problem under consideration is introduced, tested on potential and bi-harmonic problems and its performance is compared to the performance of the standard method.
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An improved boundary element formulation for calculating stress intensity factors: Application to aerospace structures
TL;DR: In this paper, the standard boundary element method is modified to take explicit account of the singularity in the stresses at a crack-tip, and the known expansion terms of the crack tip displacement and stress fields are subtracted to remove the numerical difficulties associated with the representation of a singular stress field at the cracktip.
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Journal ArticleDOI
On the use of isoparametric finite elements in linear fracture mechanics
TL;DR: In this paper, the inverse square root singularity of the plane eight noded isoparametric element has been used to calculate stress intensity factors of elastic fracture mechanics, including constant strain and rigid body motion modes.
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Crack tip finite elements are unnecessary
R. D. Henshell,K. G. Shaw +1 more
TL;DR: In this paper, it was shown that a singularity occurs in isoparametric finite elements if the mid-side nodes are moved sufficiently from their normal position to obtain a more accurate solution to the problem of determining the stress intensity at the tip of a crack.
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On a class of conservation laws in linearized and finite elastostatics
James K. Knowles,Eli Sternberg +1 more
TL;DR: In this article, ESHELBY deduced a surface-integral representation for the force on an elastic singularity or inhomogeneity, which gives rise to a conservation law for regular elastostatic fields appropriate to homogeneous but not necessarily isotropic solids in the presence of infinitesimal deformations.