Abstract
We consider the problem of axisymmetric strain of an elastic ball with an elongated ellipsoidal cavity whose center is at the center of the ball when given forces act on the spherical and the ellipsoidal surfaces. The problem is solved using an approach based on integral representation of p-analytical functions with p-x characteristic by analytical functions. The method of p-analytical functions reduces the solution of the problem to the solution of an infinite quasi-completely regular system of linear algebraic equations in which the free terms are upper bounded and tend to zero as the index increases.
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