Crack propagation under variable load histories in linearly viscoelastic solids
Crack propagation under variable load histories in linearly viscoelastic solids
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DOI：
10.1016/0020-7225(70)90049-2
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发表时间：
1970-08
影响因子：
6.6
通讯作者：
W. Knauss;H. Dietmann
中科院分区：
文献类型：
--
作者：
W. Knauss;H. Dietmann
粘弹性固体中裂纹的扩展被认为是在线性连续介质力学的限制范围内。从裂纹尖端的局部应力场和变形场出发，根据热力学第一定律，导出了裂纹尖端速度随裂纹尖端应力强度因子变化的非线性微分方程。讨论了该微分方程简化的条件。这些计算的相关性的复合固体的力学行为被指出。循环加载（疲劳问题）的情况下进行了详细讨论，并给出示例计算，以说明在一个周期内的最大和最小负载的相对效果。给出了一些实验数据与这些计算进行比较。
The growth of a crack in a viscoelastic solid is considered within the limitations of linear continuum mechanics. Starting from the local stresses and deformation field at the tip of a crack and the first law of thermodynamics a non-linear differential equation is derived for the crack tip velocity in dependence on an arbitrary history of the crack tip stress intensity factor. Conditions for the simplification of this differential equation are discussed. The relevance of these calculations to the mechanical behavior of composite solids is pointed out.The case of cyclic loading (fatigue problem) is discussed in detail and sample calculations are given to illustrate the relative effect of maximum and minimum load during a cycle. Some experimental data is given for comparison with these calculations.