Steady state crack growth in viscoelastic solids: A comparative study
Steady state crack growth in viscoelastic solids: A comparative study
复制标题
DOI：
10.1016/j.jmps.2021.104748
复制
发表时间：
2022-01-03
影响因子：
5.3
通讯作者：
Long, Rong
中科院分区：
文献类型：
--
作者：
Hui, Chung-Yuen;Zhu, Bangguo;Long, Rong
我们比较了不同的理论预测的稳态增长的模式I裂纹在线性粘弹性固体。在这项工作中研究的理论包括那些由Knauss，Schapery，Rehenson和Brener。比较的重点是分数耗散率和裂纹扩展速度和断裂能之间的关系。使用现实的本构模型，如广义麦克斯韦固体（GMS）和幂律固体（PLS）的解析解进行。这些理论进行了测试对两组不同的实验数据在文献中报道。我们还提出了新的结果，如应变场的裂纹尖端，裂纹表面上的残余应变和裂纹张开位移（COD）。我们使用COD的表达式来研究de Gennes提出的“粘弹性喇叭”的形状和尺寸。利用一种新的方法，我们研究了裂纹尖端粘弹性耗散区的形状和大小，并讨论了它对裂纹扩展速度的依赖性。
We compare the predictions of different theories on the steady state growth of a Mode I crack in linear viscoelastic solids. The theories studied in this work include those by Knauss, Schapery, Persson and Brener. The comparisons focus on the fractional dissipation rate and the relationship between crack growth velocity and fracture energy. Analytical solutions are carried out using realistic constitutive models such as the Generalized Maxwell Solid (GMS) and the Power Law Solid (PLS). These theories are tested against two different sets of experimental data reported in the literature. We also present new results such as the strain field directly ahead of the crack tip, the residual strain on the crack surfaces and the crack opening displacement (COD). We use the expressions for COD to study the shape and size of the "viscoelastic trumpet " proposed by de Gennes. Using a new approach, we study the shape and size of the viscoelastic dissipation zone around the crack tip and discuss its dependence on the crack growth velocity.