多裂隙体的稳定热断裂(张开型)问题

为了讨论大体积混凝土结构中大多数由温度变化引起的裂缝的稳定性，给出了无限平板中作用有稳定点热源的位移场、应力场基本解，构造出以边界虚拟力为基本未知量求解混合边界多裂隙体热断裂问题的基本方程。数值计算表明该方法求解多裂隙体热断裂问题精度高，计算工作量少。对含边界裂缝的平板、含三条平行裂缝的平板和含有三条三角形分布的裂缝的平板在稳定温度荷载作用下进行了实验和计算互校，两者结果吻合良好。

Steady Thermal Fracture Problem of Multiple Cracks (Open Type)

Most of the fractures in massive concrete structures were induced by temperature change. In order to study the stability of thermal crack, the fundamental solution of the displacement and stress field induced by a steady thermal source in an infinite plate is given in this paper. The fundamental equations, in which fictitious boundary forces are taken as unknowns, are proposed for the solutions of steady thermal fracture problems of finite body with multiple cracks under mixed boundary conditions. The numerical computation shows that high precision in solving thermal fracture problems of multiple cracks were obtained by this method and less calculating time was needed. The numerical results of a plate with an edge crack, with three parallel cracks, and with three cracks in triangle under steady thermal load are in good agreement with the experimental results.