The stresses produced in a semi-infinite solid by a moving surface force
The stresses produced in a semi-infinite solid by a moving surface force
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DOI：
10.1016/0020-7225(65)90038-8
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发表时间：
1965-03
影响因子：
6.6
通讯作者：
G. Eason
中科院分区：
文献类型：
--
作者：
G. Eason
这里考虑的问题是半无限均匀各向同性弹性固体，其表面受到匀速运动的外力。假设力始终起作用，因此问题是准静态的。同时考虑了法向力和剪力共同作用的情况。所考虑的载荷类型是点载荷和分布在圆形或矩形区域上的力的类型。利用积分变换求解基本方程，将得到的多重积分化为单一的有限积分，当所受力的速度低于固体的瑞利波速度时，可以进行数值计算。数值结果以图形形式给出了点力施加点以下各点的位移和应力分量，以及分布载荷作用下加载区域中心以下各点的应力分量。
The problem considered here is that of a semi-infinite homogeneous isotropic elastic solid to the surface of which are applied forces moving with uniform velocity. The forces are assumed to act for all time, so that the problem is quasi-static. The cases of applied normal force and applied shear force are both considered. The types of applied load considered are those of a point force and of a force which is distributed over either a circular or a rectangular area. The basic equations are solved by means of integral transforms, and the resulting multiple integrals are reduced to single finite integrals which may be evaluated numerically when the velocity of the applied force is below that of Rayleigh waves for the solid. Numerical results are presented in graphical form for the displacement and stress components at points below the point of application of the point force and for the stress components at points below the centre of the loaded area for distributed loading.