| 模拟地震的应变软化的数学模型 |
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| 引用本文： | 殷有泉,张宏.模拟地震的应变软化的数学模型[J].地球物理学报,1982,25(5):414-423. |
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| 作者姓名： | 殷有泉 张宏 |
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| 作者单位： | 北京大学地质系 |
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| 摘 要： | 本文从弹塑性岩石介质的一般的本构方程出发,考虑断层介质内摩擦系数和内聚力随变形而降低的性质,建立了断层介质的非稳定的本构关系。这些关系可应用于承受任何应力的不同走向和倾角的断层。考虑到复杂的现代构造和非均匀应力场的背景,给出一个用能量表述的非稳定准则,用它来判断包含断层和围岩在内的整个系统的非稳定性的到来。最后按本文提出的模型用有限元方法对两个震例做了初步的分析。
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| 关 键 词： | 模拟地震 应变软化 场位移 断层破裂 断层带 数学模型 本构关系 非稳定 唐山地震 弹性回跳 |
| 收稿时间： | 1981-07-30 |
A MATHEMATICAL MODEL OF STRAIN SOFTENING IN SIMULATING EARTHQUAKE |
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| YIN YOU-QUAN,ZHANG HUNG.A MATHEMATICAL MODEL OF STRAIN SOFTENING IN SIMULATING EARTHQUAKE[J].Chinese Journal of Geophysics,1982,25(5):414-423. |
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| Authors: | YIN YOU-QUAN ZHANG HUNG |
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| Institution: | Department of Geology, Peking University, Beijing |
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| Abstract: | In this paper, we attempt to construct an unstable constitutive model for the fault medium by starting from the general constitutive equation of an elastic- plastic rock medium and considering the coefficient of internal friction and cohesion of the fault medium to vary with deformation. The constitutive relation thus obtained may be applied to fault of any occurrence and subjected to arbitrary stress conditions. To apply them in the boundary value problem of continuum mechanics dealing with complicated structure and non-uniform stress field, an instability criterion is also given. It is used to judge the onset of instability of the entire system comprising both the fault zone and the surrounding medium. Two simple examples are given to illustrate the usage of the model in finite element analysis. |
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