THE EFFECT OF A STRIP-SHAPED PUNCH ON A LINEARLY DEFORMABLE FOUNDATION STRENGTHENED BY A THIN COVERING

A method of solving a class of integral equations with a convolution o ver a finite interval is developed. These equations occur in many mixe d problems in the mechanics of continuous media and in mathematical ph ysics. The contact problem in the theory of elasticity of pressure tra nsfer from a punch with a strip-shaped cross-section to a linearly def ormable base through a Melan cover reduces to an equation of this kind . The final results are given as analytic formulae which are convenien t for specific calculations, with isolated singularities along boundar y-condition transition lines.