Fourier Transform Solutions of Quarter-Plane Problems in Elasticity,
NORTH CAROLINA STATE UNIV RALEIGH APPLIED MATHEMATICS RESEARCH GROUP
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The object of these notes is to present a systematic account of an integral transform method of solving boundary value problems of classical plane elastostatics for a quarter plane. Of the problems presented here the main emphasis is on mixed boundary value problems. The principal reason for this is not that problems concerning a quarter-plane have any intrinsic interest, but that certain two-dimensional problems involving line cracks can by their symmetry be reduced to mixed boundary value problems for a quarter plane. The methods developed here can be used to derive the solutions of more complicated crack problems and of contact problems involving a quarter-plane or two quarter-planes adhering to each other.