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Three-Dimensional Elastic Surface Cracks
1988This paper discusses a variety of issues associated with the elastic fracture mechanics modeling of surface cracks; both analytical and experimental issues are addressed. The primary analytical focus is on the use of the boundary integral equation method for elastic fracture mechanics analysis. An advanced code is highlighted.
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An Algorithm for Three-Dimensional Mesh Generation for Arbitrary Regions with Cracks
Engineering With Computers, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joaquim B. Cavalcante Neto +4 more
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Lattice theory of three-dimensional cracks
Journal of Applied Physics, 1976The problem of the stability of a three-dimensional crack will be analyzed within a lattice-statics approximation. Hsieh and Thomson employed a similar approach for a two-dimensional crack. In that work the force was taken to be linear up to an arbitrary displacement and set equal to zero for larger displacements.
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Three-Dimensional Cracks: Further Concepts
1996In Chapter 6 the basic principles of the distributed dislocation (loop) technique for three-dimensional crack problems were described, where the stress due to an infinitesimal dislocation loop of unit strength was used as the kernel function of the singular integral equation.
D. A. Hills +3 more
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Three-dimensional dynamic perturbation of a propagating crack
Journal of the Mechanics and Physics of Solids, 1997Asymptotic formulae are derived for the perturbations to the stress intensity factors induced by a small three-dimensional dynamic perturbation of a propagating, nominally plane, crack. The crack propagates through an infinite isotropic uniform medium and full account is taken of the equations of elastodynamics. Previous work by the authors treated the
Willis, J. R., Movchan, A. B.
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Three-Dimensional Wave Propagation in a Cracked Elastic Solid
Journal of Applied Mechanics, 1978The three-dimensional dynamic problem is presented for an infinite elastic medium weakened by a plane crack of infinite length and finite width. On the surfaces of the crack, the self-equilibrated system of a load varies harmonically in time and is distributed arbitrarily on those surfaces. The Fourier transformations are utilized to reduce the problem
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Stress-Intensity Factor for a Three-Dimensional Rectangular Crack
Journal of Applied Mechanics, 1981An integral transform solution is developed to reduce the problem of determining the stress-intensity factor of a narrow three-dimensional rectangular crack to the solution of a Fredholm integral equation of the second kind. The crack is assumed to be embedded in an infinite elastic solid subjected to normal loading.
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On the problem of a three-dimensional crack in an an isotropic elastic medium
Journal of Applied Mathematics and Mechanics, 1981Abstract A three-dimensional problem of elasticity theory for a homogeneous and anisotropic medium containing an isolated crack is considered. As a result of using a known analogy between a crack and a Somigliana dislocation, the problem is reduced to the solution of an elliptic pseudo-differential equation in the density of the dislocation moments ...
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Three-dimensional analysis of a cohesive crack coupled with heat flux through the crack
Advances in Engineering Software, 2015This paper presents an algorithm for coupling cohesive crack modeling with non-stationary heat flow. Firstly, the nonlinear system of equation, based on global formulations, for such a computational model is derived. The nonlinearity here comes from nonlinear relations in the crack.
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