Influence of a Stationary Heat Source on the Stress State of a Half Space with Rigidly, Smoothly, or Flexibly Fastened Boundary

Abstract

By using the thermoelastic potential of displacements and the Love biharmonic function, we determine the temperature, displacements, and stresses caused by a stationary heat source in a semiinfinite body whose boundary is rigidly, smoothly, or flexibly fastened either under the conditions of zero temperature kept on it or under the conditions of heat insulation. The plots of the dependences of axial, radial, circular, and tangential stresses on the boundary of the body on the distance between the heat source and this boundary are presented.