Effect of plate thickness on the bending stress distribution around through cracks
Theoretical study of plate thickness effect on bending stress distribution around slotted cracks
STRESS DISTRIBUTION↗
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Circular-arc cracks in bi-material plates under bending.
Thin boundary problems of bimaterial plates bonded along circular arcs behaving like crack imperfections under bending, using fracture mechanics to predict failure
CRACK PROPAGATION↗
External elliptical crack in elastic solid
Potential functions for three dimensional problems of infinite elastic solid containing elliptical crack
Kassir, M. K.↗
The use of eigenfunction expansions in the general solution of three-dimensional crack problems
Eigenfunction expansion technique for three dimensional stress and displacement expressions in series form for infinite solids weakened by plane of discontinuity or crack
Hartranft, R. J.↗
Thermal stresses in a solid weakened by an external circular crack
Linear thermoelastic problems solved for thermal stress and displacement fields in elastic solids weakened by external circular cracks or plane of discontinuity
Kassir, M. K.↗
Effect of plate thickness on the bending stress distribution around through cracks.
Plate thickness effect on bending stress near crack front for plates with through cracks
Hartranft, R. J.↗
Bending of a cracked plate with arbitrary stress distribution across the thickness
Bending of cracked plate with arbitrary stress distribution across plate thickness
Sih, G. C.↗
Crack-like imperfections in a spherical shell
Mathematical model for stress analysis of cracks in spherical shells
Dobreff, P. S.↗
An approximate three-dimensional theory of plates with application to crack problems
Approximative three dimensional solution for crack in elastic plates
Hartranft, R. J.↗
External elliptical crack in elastic solid.
Potential functions for three dimensional problems of elliptical crack in elastic solid
Kassir, M. K.↗
Mathematical theories of brittle fracture.
Strain energy for two and three dimensional crack systems subjected to varying loads, detailing loading and crack geometry effects on fracture criterion
Liebowitz, H.↗
Thermal stresses in a solid weakened by an external circular crack.
Thermal stress and displacement fields in elastic solid weakened by crack outside of circular region, noting plastic zone size and energy dissipation
Kassir, M. K.↗
The use of eigenfunction expansions in the general solution of three-dimensional crack problems.
Eigenfunction expansion technique to analyze three dimensional crack and wedge problems, emphasizing stress field near straight edged crack
Hartranft, R. J.↗
Bending of a cracked plate with arbitrary stress distribution across the thickness
Bending analysis of cracked plate with arbitrary stress distribution across thickness
Sih, G. C.↗
An approximate three-dimensional theory of plates with application to crack problems
Elastic plate uniform extension with rectangular crack by three dimensional bending theory, using variational principle
Hartranft, R. J.↗
A review of the three-dimensional stress problem for a cracked plate
Plate thickness effect on stress distribution around crack, using three dimensional elasticity equations
Sih, G. C.↗
Alternating method applied to edge and surface crack problems
The Schwarz-Neumann alternating method is employed to obtain stress intensity solutions to two crack problems of practical importance: a semi-infinite elastic plate containing an edge crack which is subjected to concentrated normal and tangential forces, and an elastic half space containing a semicircular surface crack which is subjected to uniform opening pressure. The solution to the semicircular surface crack is seen to be a significant improvement over existing approximate solutions. Application of the alternating method to other crack problems of current interest is briefly discussed.
Hartranft, R. J.↗
A crack problem with four distinct harmonic functions
The problem of an elastic solid containing a semi-infinite plane crack subjected to concentrated shears parallel to the edge of the crack is considered. A closed form solution using four distinct harmonic functions (none of which can be taken arbitrarily) is found to satisfy the finite displacement and inverse square root stress singularity at the edge of the crack. Explicit expressions in terms of elementary functions are given for the distribution of stress and displacement in the solid. These are obtained by employing Fourier and Kontorovich-Lebedev integral transforms and certain singular solutions of Laplace equations in three dimensions. The variations of the intensity of the local stress field along the crack border are shown graphically. An example is presented, which is in contrast with the conclusion established in the literature that one of the four Papkovich-Neuber functions in three-dimensional elasticity may be arbitrarily set to zero.
Sih, G. C.↗