COHESIVE FORCE ACROSS TIP OF A LONGITUDINAL-SHEAR CRACK AND GRIFFITHS SPECIFIC SURFACE-ENERGY

COHESIVE FORCE ACROSS TIP OF A LONGITUDINAL-SHEAR CRACK AND GRIFFITHS SPECIFIC SURFACE-ENERGY
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DOI:
10.1029/jb077i020p03796
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发表时间:
1972-01-01
影响因子:
--
通讯作者:
IDA, Y
IDA, Y
中科院分区:
其他
文献类型:
--
作者:
IDA, Y

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为了理解纵向剪切裂纹尖端破裂的物理机制,考虑了跨断层面的粘聚力。本文从粘聚力是位移不连续函数的假设出发,系统地导出了裂纹尖端的弹性场和破裂扩展条件。这个假设比G. I.巴伦布拉特在1959年和1962年。尖端周围的应力场计算的凝聚力的几个模型,并显示为非奇异的,即使在尖端。确定破裂速度的破裂扩展条件与Griffith判据和B的关系式是等价的。V.Kostrov在1966年提出了比表面能的概念,但本文对比表面能作了更明确的定义。
The cohesive force across the fault plane is considered in order to understand the physical mechanism of rupture at the tip of a longitudinal‐shear crack. The elastic field around the tip of a crack and the condition of rupture growth are systematically derived from the assumption that the cohesive force is given as a function of the displacement discontinuity. This assumption is more physically meaningful than those originally used by G. I. Barenblatt in 1959 and 1962. The stress field around the tip is calculated for several models of cohesive force, and is shown to be nonsingular even at the tip. The condition of rupture growth that is used to determine the rupture velocity turns out to be equivalent to the Griffith criterion and the relation employed by B. V. Kostrov in 1966, but the specific surface energy is defined more clearly in this paper.