Slowing Down of the Growth of a Slit of Variable Width under the Influence of a Temperature Field
B. A. Mustafayev
Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, AZ1141, Azerbaijan
Keywords: щель переменной ширины, неоднородное поле напряжений, температурное поле, контактные напряжения, сцепление, проскальзывание, slit of variable width, inhomogeneous stress field, temperature field, contact stresses, adhesion, slippage
Abstract
This paper touches upon changes in the temperature field near the ends of a slit of variable width under the action of an inhomogeneous stress field. The solution of the boundary-value problem on the equilibrium of the slit with partially contacting edges (there is adhesion of the edges on a certain part of the contact zone and slippage on another one) under the action of the outer inhomogeneous stress field, temperature field, and efforts on the contacting surfaces of the slit of variable width comparable with displacements in an elastic state is reduced to the problem of linear conjugation of analytic functions.
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