The Method of Boundary States in Solving Problems of Thermoelasticity in the Presence of Mass Forces

Abstract

The paper describes a method for determining a stress-strain state of transversally isotropic solids of revolution, which are simultaneously influenced by external pressure and a body force within a steady-state temperature field. The mutually affected combination of these 3 factors results in the conclusive condition of a solid of revolution. The boundary conditions method is applied to determine the resultant condition influenced by exposure to an external pressure and temperature; the inverse method is applied to determine the condition affected and resulted from influence of the body force. The formation of inner and boundary condition basis, associated with isomorphism, is developed with formulation of constitutive relationships. The problems for a circular cylinder of rock and for a solid of revolution with nontrivial form are solved. The results are presented in graphical form.