Abstract
The Prandtl problem of compression of a plastic layer between parallel rigid plates is gneralized to the case when the plastic layer is not orthogonal to the compressive force. A new fundamental solution for a perfectly plastic body, stress tensor, and maximum compressive force are obtained on the basis of an analytical solution of a nonlinear partial differential equation. The classical Prandtl solutions follow from the new solution in the particular case for an orthogonal layer. A graphic interpretation of the established dependences is given.
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