Three-Dimensional Stress Analysis of a Finite Slab Containing a Transverse Central Crack.
LEHIGH UNIV BETHLEHEM PA INST OF FRACTURE AND SOLID MECHANICS
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Finite element procedures are used to solve two- and three-dimensional problems of cracks in elastic bodies. The two-dimensional, plane strain analysis is concerned with the effect of a crack approaching a free edge at right angles. The strain energy density fracture criterion is used to determine the direction of fracture for various distances from the crack tip to thr free edge. These results provide a possible mechanism for the creation of the shear lip region in a plate of finite thickness. The three-dimensional isoparametric finite element procedure is specialized for application to crack problems by the introduction of elements which model the crack edge singularity. The finite element approach is used to study the problem of a through crack in a finite thickness plate subject to symmetric loading. Variations of the stress intensity factor, near field stress components, and strain energy density through the plate thickness are reported.