A finite element formulation for nonlinear thermoelastic analysis is employed to deal with the problem of fracture in an outer edge-cracked infinite cylinder composed of two materials with and without thermal contact resistance. If the existence of the crack does not affect the temperature distribution, we can divide the problem into two parts and solve it using the method of superposition. In the first place, the transient thermal stresses induced in the imaginary body without a crack are calculated by the finite element (FE)/implicit time integration method for a short time period and the FE/Laplace transform technique for a long time period. Solution of the nonlinear equation is obtained iteratively by using a modified Newton-Raphson scheme. Secondly, taking the opposite sense of the stress distribution, obtained previously along the crack surfaces, as the traction boundary conditions, the stress intensity factors (SIFs) of the real cracked body are then evaluated by the FEM. It is shown that, in a double-layer cylinder with thermal contact resistance, the maximum stress increases as a function of time and its maximum stress is greater than that in a mono-wall cylinder of the same thickness. The effect of thermal contact resistance on the SIF becomes significant as time increases and reaches its maximum in the steady state. Furthermore, as the crack length is increased, its effects also become more important.
All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering