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加载速率对裂隙的断裂起动应力的影响研究
引用本文:王庚荪 ,朱瑞赓.加载速率对裂隙的断裂起动应力的影响研究[J].岩土力学,1986,7(1):13-22.
作者姓名:王庚荪  朱瑞赓
摘    要:本文通过裂隙亚临界扩展的分析,提出一个计算低、中等应力率下裂隙断裂起动应力的新公式。通过冲击载荷下裂隙尖端应力强度因子-时间关系的积分,得到计算高、中等应力率下裂隙的断裂起动应力的公式。两公式的结合得到一个适用于从低到高各种加载速率的计算裂隙的断裂起应力的一般表达式。文章还分析了多裂隙材料的临界失稳断裂,提出了在高加载速率下材料的σfi-σ曲线是材料内所有裂隙的σfi-σ曲线的包络线的新观点,并由此得出布高加载速率下材料的断裂起动应力与加载速率的立方根成正比的结论。

关 键 词:加载速率    包络线    力率    失稳断裂    岩石材料    强度因子    门槛值    岩石介质    强度问题    近似式  

Initiation Stress of Crack
Wang Gengsun,Zhu Ruigeng.Initiation Stress of Crack[J].Rock and Soil Mechanics,1986,7(1):13-22.
Authors:Wang Gengsun  Zhu Ruigeng
Abstract:In this paper, through analyzing the subcritical crack growth, a new formula is presented which can be used to calculate the crack fracture initiation stress at low and middle stress rates. By way of integration of the stress intensity factortime relation of crack under impact load, is attained a formnla from which the crack fracture initiation stress at middle and high stress rates cen be calculated. Combination of the two formulae leads to a general expression for caloulating the crack fracture initiation stress at all stress rate, low or high. The critical unstable fracture of material which contains many cracks is also analyzed in this paper, and a new viewpoint is put forward that the σfi-σ curve of material at high stress rate is an envelop of all σfi-σ curves of crack in the material, which leads to a conclusion that crack fracture initiation stress is proportional to the cube root of loading rate.
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