衝撃加熱を受ける不均質板の動的熱応力

抄録

This paper is concerned with the dynamic treatment of a transient thermoelastic problem for an infinite plate which is exposed to ramp-type heating on one of the plane boundaries. The material of the structure is continuously nonhomogeneous with mechanical properties varying linearly along the thickness of plate. The curvilinear characteristics in the space-time plane are transformed into straight lines of equal s1ope so that the numerical errors can be minimized. The problem is then solved using appropriate characteristic equations on boundaries while using more convenient explicit finite-difference approximations at all other points in the transformed space-time plane. The numerical results show clearly the propagation and reflections of discontinuities in stress due to a sudden heating on the boundary.