Abstract: Using moving mesh finite element method we discuss the temperature field produced by a moving heat source with the variable thermal conductivity and with the raUioative and convective boundary conditions in a wide range of the velocity. The temperature-time relationships at various velocities in the static and moving coordinate systems are studied. The steady-state temperature distributions at various velocities in the moving coordinate systems are given. The temperature field produced by the plastic deformation at the process region (a region very near the crack tip) is also studied, and the results show that the highest temperature at the process region is lower than 1000℃ or 1832℉

Key words: eigenvalue problem, piezoelectricity, porous, uniqueness theorem, reciprocal theorem