EXPLICIT SOLUTIONS FOR CURVILINEAR CRACKS IN THE THERMOELASTIC MEDIUM

Publisher Website
Google Scholar
Abstract
Boundary value problems for circular arcs of discontinuities or curved cracks embedded in an infinite medium due to a uniform heat flow are formulated and solved in closed form. By application of the complex variable theory dealing with sectionally holomor-phic functions, the present problem is reduced to the solution of the problem of linear relationship or Hitbert problem. An exact solution to the case of a semicircular insulated crack is obtained. It is found that the thermal stresses or temperature gradient near the tips of a curved crack possess the same character of singularity as those obtained for a straight crack. The simultaneous existence of mode-I and mode-II stress intensity factors are found in this paper which are dependent on the angle of heat flow, heat conductivity, and thermal and elastic isotropy. The validity of the fully open crack assumption is also discussed.