Open AccessBook
Three-dimensional crack problems : a new selection of crack solutions in three-dimensional elasticity
M. K. Kassir,G.C. Sih +1 more
About:
The article was published on 1975-01-01 and is currently open access. It has received 24 citations till now. The article focuses on the topics: Elasticity (economics).read more
Citations
More filters
Journal ArticleDOI
Edge singularities in anisotropic composites
T. C. T. Ting,S.C. Chou +1 more
TL;DR: In this paper, the stress singularity at the vertex of an anistropic wedge has the form r − ϵ F ( r, θ ) as r → 0 where 0 F is a real function of the polar coordinates ( r, θ).
Journal ArticleDOI
A weakly-singular SGBEM for analysis of cracks in 3D anisotropic media
Jaroon Rungamornrat,Mark E. Mear +1 more
TL;DR: In this article, a weakly-singular, symmetric Galerkin boundary element method (SGBEM) is developed for analysis of fractures in three-dimensional, anisotropic linearly elastic media.
Journal ArticleDOI
Three-dimensional elasticity based on quaternion-valued potentials
TL;DR: In this paper, an extension of the classical Muskhelishvili formulas for plane isotropic elastic problems is presented, which uses two complex-valued holomorphic potentials.
Journal ArticleDOI
SGBEM―FEM coupling for analysis of cracks in 3D anisotropic media
Jaroon Rungamornrat,Mark E. Mear +1 more
TL;DR: The coupled technique exploits the positive features of both methods; the SGBEM proves to be a convenient and highly accurate method for obtaining mixed‐mode stress intensity factors along the crack front, whereas the FEM is very efficient for modeling large‐scale problems in the absence of cracks.
Journal ArticleDOI
Qualitative identification of cracks using 3D transient elastodynamic topological derivative: Formulation and FE implementation
Cédric Bellis,Marc Bonnet +1 more
TL;DR: In this paper, a time-domain topological derivative (TD) approach is developed for transient elastic-wave imaging of buried cracks, which quantifies the sensitivity of the misfit cost functional to the creation at a specified location of an infinitesimal trial crack, expressed in terms of the time convolution of the free field and an adjoint field as a function of that specified location and of the trial crack shape.