Abstract
The exact solution of a mixed problem of elasticity theory concerning pure shear by a stamp (in general, deformable) of a cylindrical body that occupies a domain bounded in section by coordinate lines of an orthogonal curvilinear coordinate system in a plane whose Lamé coefficients satisfy certain conditions, is obtained by constructing the closed solutions of integral equations of the first kind that contain Jacobi elliptic functions as kernels. Analogous problems were studied in /1, 2/, etc., in the special case of a strip and a ring. A scheme is proposed /1/ for constructing the exact solution of these problems by conformal mapping of the strip into a finite domain.
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