Reciprocal theorems for self-similar wedge and crack problems and some generalisations
Reciprocal theorems are presented here for a class of time-dependent problems of antiplane strain elasticity. The application of these theorems is illustrated by considering the problem of shear waves in an elastic wedge and the problems of crack forking or kinking. A generalized Chaplygin transformation is given for media with a power law radially varying density and this is applied to the problem of rapid tearing of a dynamically loaded wedge of such a material.
scientific article; zbMATH DE number 3932558