Numerical simulation of the non‐linear crack problem with non‐penetration
Numerical simulation of the non‐linear crack problem with non‐penetration
复制标题
非贯通非线性裂纹问题的数值模拟
DOI：
10.1002/mma.449
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发表时间：
2004
影响因子：
2.9
通讯作者：
V. A. Kovtunenko
中科院分区：
文献类型：
--
作者：
V. A. Kovtunenko
文中给出了非穿透条件下含直裂纹的平面Lamé问题的数值模拟结果。相应的固体假定为各向同性、均质和粘结的。将非线性裂纹问题表示为一个变分不等式。用罚迭代法和有限元方法对其近似解进行了数值计算。应用形状灵敏度分析得到的解析公式，计算了解的能量和应力特性，并描述了线性载荷作用下裂纹的准静态扩展。结果与经典的线性裂纹问题相比较，当裂纹面之间可能发生穿透时。版权所有©2004 John Wiley&Sons，Ltd.
Here the numerical simulation of some plane Lamé problem with a rectilinear crack under non‐penetration condition is presented. The corresponding solids are assumed to be isotropic and homogeneous as well as bonded. The non‐linear crack problem is formulated as a variational inequality. We use penalty iteration and the finite‐element method to calculate numerically its approximate solution. Applying analytic formulas obtained from shape sensitivity analysis, we calculate then energetic and stress characteristics of the solution, and describe the quasistatic propagation of the crack under linear loading. The results are presented in comparison with the classical, linear crack problem, when interpenetration between the crack faces may occur. Copyright © 2004 John Wiley & Sons, Ltd.