滚动载荷作用下半空间表面裂纹

Surface Crack Problem of Half Space under Rolling Load

为简化轮轨接触力和控制方程的计算,利用Hadamard有限部积分的概念,将半空间表面裂纹问题归化为求解一组以位移间断作为未知函数的超奇异积分方程;采用边界元法离散该积分方程组,并对方程组中出现的超奇异积分提出了特殊的数值处理方法.最后,讨论了滚动载荷作用下含油渗物和不含油渗物的半空间表面裂纹问题.研究结果表明,油渗物会加速裂纹的扩展.

To simplify the calculations of wheel-rail contact force and governing equations, a surface crack problem in a semi-infinite space was reduced to solving a set of hyper-singular integral equations with displacement jumps as unknown functions. The boundary element method was used in numerical analyses to disperse the integral equations, and a special numerical treatment for the hyper-singular integrals was proposed Finally, the surface crack problem in a semi-infinite space with or without internal oil infiltration between crack surfaces under rolling load was discussed. The research result shows that oil infiltration will accelerate the propagation of surface cracks.