Viscoelastic behaviour of materials at the lithosphere-asthenosphere boundary is observed in this paper. The observed post-seismic and aseismic deformation help us to understand the rheological properties of the mantle and asthenosphere. A quasi-static model having homogeneous, isotropic, elastic material overlying viscoelastic material of a standard linear solid (SLS) is considered. A long strike-slip fault of finite width inclined to the free surface due to a sudden movement has been studied in this work. Analytical solutions for displacement, stresses and strains are obtained before and after fault movement using a technique involving the use of Green’s functions and integral transforms, assuming that tectonic forces maintain a shear strain far away from the fault. The effect of aseismic fault movement across it is found to depend on distance, dimension, relative position and other characteristics of the fault. Also, the effect of different inclinations, elastic layer thickness and slip magnitude have been studied. The study of such earthquake fault dynamical model helps us to understand the mechanism of the lithosphere-asthenosphere boundary.

中文翻译：

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由于覆盖在标准线性实体 (SLS) 粘弹性半空间上的弹性层中的无限走滑断层导致的应力和应变累积

本文观察了岩石圈-软流圈边界处材料的粘弹性行为。观察到的震后和抗震变形有助于我们了解地幔和软流圈的流变特性。考虑了一种准静态模型，该模型具有覆盖在标准线性实体 (SLS) 的粘弹性材料上的均质、各向同性、弹性材料。在这项工作中已经研究了由于突然运动而向自由表面倾斜的有限宽度的长走滑断层。位移、应力和应变的解析解是在断层移动前后使用涉及使用格林函数和积分变换的技术获得的，假设构造力在远离断层的地方保持剪切应变。发现地震断层运动的影响取决于距离，断层的尺寸、相对位置等特征。此外，还研究了不同倾斜度、弹性层厚度和滑移量的影响。对此类地震断层动力学模型的研究有助于我们理解岩石圈-软流圈边界的机制。