Abstract Closed-form analytic expressions for Papkovich-Neuber displacement potentials, displacements, and stresses due to the centre of rotation source in an elastic half-space overlying an elastic half-space are obtained. The elastic results are valid for different values of Poisson's ratio and a change in the rigidity of the two half-spaces. Further, the correspondence principle of linear viscoelasticity is used to obtain the corresponding solutions in an elastic half-space overlying a viscoelastic half-space. The viscoelastic results are valid for different values of relaxation time and a change in the rigidity of the two half-spaces. The variation of the displacements and stresses with the epicentral distance as well as with the relaxation time are studied. The magnitude of displacement and normal stress components assume a maximum value for the Maxwell model and minimum value for the Kelvin model whereas the shear stresses assume a minimum value for the Maxwell model and maximum value for the Kelvin model.

中文翻译：

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旋转源中心引起的两个焊接半空间的变形

摘要 得到了弹性半空间上弹性半空间中由于旋转源中心引起的Papkovich-Neuber位移势、位移和应力的闭式解析表达式。弹性结果适用于不同的泊松比值和两个半空间刚度的变化。进一步，利用线性粘弹性的对应原理，得到覆盖在粘弹性半空间上的弹性半空间中的对应解。粘弹性结果适用于不同的松弛时间值和两个半空间刚度的变化。研究了位移和应力随震中距和弛豫时间的变化。