Application of Betti's reciprocal work theorem to the construction of the hypersingular integral equation of a plane crack in three-dimensional elasticity
The two-dimensional hypersingular integral equation of a plane crack under an arbitrary normal pressure distribution inside an infinite, three-dimensional, isotropic elastic medium is rederived here by application of the classical Betti reciprocal work theorem. This approach is a very simple one and, moreover, it illustrates the usefulness of the aforementioned theorem for the derivation of hypersingular integral equations of elasticity problems.
two-dimensional hypersingular integral equation
infinite, three-dimensional, isotropic elastic medium
scientific article; zbMATH DE number 3999448