N. Shavlakadze
abstract:
Contact problems of the theory of elasticity on bending of finite
and infinite, isotropic or anisotropic plates with an elastic inclusion
of variable bending rigidity are considered. The problems are reduced to an
integro-differential equation with a variable coefficient. When the
coefficient turns to zero of higher order at the ends of the interval of
integration, the equation is out of the framework of cases already studied.
Such equations are studied, exact or approximate solutions are obtained, the
bahaviour of unknown contact stresses at the ends of the line of contact is
established.
Mathematics Subject Classification: 45J05, 73C02.
Key words and phrases: Elastic inclusion, integro-differential equation, bending of plates, Jacobi polynomials.