An Arbitrary Oriented Crack in the Box Shell
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Date
2000
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Birkhlluser Verlag Basel / Switzerland
Abstract
Stresses are considered in the box shell formed by two semi-infinite plates joined at right angles. The plates are similar but their thicknesses are different. The crack is an arbitrarily oriented and goes to the shell’s tip. The edges of the crack are loaded in a plane of box shell’s plate. It has been known that numerical methods of solving of stress state problems in the box shell weakened by a crack coming out on the tip possess bad convergence through the necessity of taking into account real singularities near the crack. The problem is solved on the assumption that the plates have small thickness with respect to the length of crack and this makes possible the consideration of problem in an asymptotical formulation, (see Popov, Reut[4]).
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Keywords
Stress Intensity Factor, Tauberian Theorem, Thin Inclusion, Mellin Transformation, Mellin Convolution
Citation
Operator Theory: Advances and Applications