| Περίληψη: | The problem of an axisymmetric planar crack (or a system of such cracks) under an arbitrary axisymmetric normal loading distribution inside an infinite three-dimensional isotropic elastic medium is reduced to a one-dimensional hypersingular integral equation (with a second-order, a first-order and a logarithmic singularity in its kernel). This equation seems to be most appropriate for the solution of the aforementioned crack problem. On the other hand, this equation seems to be unique in physical and engineering problems and may draw the interest in its investigation from the mathematical (theoretical and numerical) point of view.
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