Modeling of contact interaction of a heated plane rigid elliptical punch with a transversally isotropic elastic half-space
Keywords:mathematical model, contact interaction, elastic half-space, transversally-isotropic material, plane elliptical punch, heating, stress distribution, domain of material separation
AbstractOn the base of a rigorous mathematical model, the problem of the contact interaction of a heated flat punch of an elliptical section with a transversely isotropic elastic half-space is investigated. It is assumed that the half-space surface is the isotropy plane of a transversely isotropic material, and also that there is a smooth (without friction) contact. Expressions of contact stresses and displacements of a heated flat elliptical punch are found explicitly. In the form of a simple inequality, a condition for separating the elastic material from the surface of a flat elliptical punch is obtained. Numerical calculations are carried out. Contact interaction of a heated flat punch is studied taking into account the separation of material from the punch.
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