The paper reports the results of a study of the strength of fragments of a lithospheric plate with a fault under the assumption that a granite lithospheric plate is rigidly connected to a basalt base along the Conrad border. In this case, one vertical and two horizontal contact stress components arise in the contact zone. Two types of faults are considered. In the first case, the fault banks are at a certain distance, whereas in the second case they are in contact. When solving the boundary value problem by the block element method, the problem of differential factorization of a third-order matrix function is solved exactly. In the process of solving the posed boundary problem, it is possible to accurately implement all the steps of the block element method, which allows us to obtain an exact analytical solution of the boundary problem. As a result, the problem of concentration of contact stresses for two types of faults is accurately solved. In the first case of nonzero distance between the plates, the concentration of contact stresses results in a finite energy of the system. In the second case of contact of the plates, the stress concentrations in each component of the vector of contact stresses leads to infinite energy in the system that is treated as an earthquake. Calculation of the Earth surface displacement in the epicenter zone in the case of a starting earthquake shows that surface motion occurs simultaneously in three directions. This explains the fact that such earthquakes cause greatest seismic damage on the Earth surface.

中文翻译：

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岩石圈板块与基底刚性接触处的起始地震特征

该论文报告了在假设花岗岩岩石圈板块沿康拉德边界与玄武岩基底刚性连接的情况下对具有断层的岩石圈板块碎片强度的研究结果。在这种情况下，接触区产生一个垂直和两个水平接触应力分量。考虑了两种类型的故障。在第一种情况下，断层组相距一定距离，而在第二种情况下它们相互接触。用分块元法求解边值问题时，精确求解了一个三阶矩阵函数的微分分解问题。在求解拟定边界问题的过程中，可以准确地执行块元法的所有步骤，这使我们能够得到边界问题的精确解析解。从而准确解决了两类断层接触应力集中的问题。在板间距离非零的第一种情况下，接触应力的集中导致系统的能量有限。在板接触的第二种情况下，接触应力矢量的每个分量中的应力集中导致系统中的无限能量被视为地震。在起始地震的情况下，震中区地表位移的计算表明，地表运动同时发生在三个方向。这就解释了这样的地震对地球表面造成最大地震破坏的事实。在板间距离非零的第一种情况下，接触应力的集中导致系统的能量有限。在板接触的第二种情况下，接触应力矢量的每个分量中的应力集中导致系统中的无限能量被视为地震。在起始地震的情况下，震中区地表位移的计算表明，地表运动同时发生在三个方向。这就解释了这样的地震对地球表面造成最大地震破坏的事实。在板间距离非零的第一种情况下，接触应力的集中导致系统的能量有限。在板接触的第二种情况下，接触应力矢量的每个分量中的应力集中导致系统中的无限能量被视为地震。在起始地震的情况下，震中区地表位移的计算表明，地表运动同时发生在三个方向。这就解释了这样的地震对地球表面造成最大地震破坏的事实。接触应力矢量的每个分量中的应力集中导致系统中的无限能量被视为地震。在起始地震的情况下，震中区地表位移的计算表明，地表运动同时发生在三个方向。这就解释了这样的地震对地球表面造成最大地震破坏的事实。接触应力矢量的每个分量中的应力集中导致系统中的无限能量被视为地震。在起始地震的情况下，震中区地表位移的计算表明，地表运动同时发生在三个方向。这就解释了这样的地震对地球表面造成最大地震破坏的事实。