A theory of crack initiation and growth in viscoelastic media II. Approximate methods of analysis
A theory of crack initiation and growth in viscoelastic media II. Approximate methods of analysis
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DOI：
10.1007/bf00033526
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发表时间：
1975-06
影响因子：
2.5
通讯作者：
Richard Schapery
中科院分区：
文献类型：
--
作者：
Richard Schapery
从第一部分建立的位移张开模式方程出发，导出了预测线性粘弹性介质中裂纹萌生时间和裂纹尖端速度的简单近似关系式。首先，我们假设蠕变柔量的对数对时间的对数的二阶导数很小(这对于粘弹性材料通常是有效的)；然后，我们推导出尖端速度瞬时值与应力强度因子之间的关系。这一结果随后被用来检验裂纹扩展行为的一些特征。最后，对于传播起始时刻的预测问题，得到了一些结果。
Starting with equations developed in Part I for the opening mode of displacement, simple, approximate relations are derived for predicting the time of fracture initiation and crack tip velocity in linearly viscoelastic media. First we use the assumption that the second derivative of the logarithm of creep compliance with respect to logarithm of time is small (which is normally valid for viscoelastic materials); we next derive a relation between instantaneous values of tip velocity and stress intensity factor. This result is then used to examine some characteristics of crack growth behavior. Finally, some results are obtained for the separate problem of predicting the time at which propagation initiates.