Boundary-valued Equations for Force Term in Non-homogeneous Equations of Statics in the Theory of Elastic Mixture

This paper is devoted to the effect of force term inclusion in the classical field theory of elastic mixture in non-homogeneous equation of Kolosov-Muskhelishvli formula. The problem of plane elasticity for a doubly connected body with outer and inner boundaries in the form of a regular polygon with a common centre and parallel sides is addressed. The unknown arcs are acted upon by external stress with some prescribed boundary conditions. Here we use the method of complex variable theory to determine the applied force and the stress state of the elastic body. Our results show that the theoretical frame work of the forcing term is consistent with the experimental work in the literature.