Williams meets von Karman: Mode coupling and nonlinearity in the fracture of thin plates
Williams meets von Karman: Mode coupling and nonlinearity in the fracture of thin plates
复制标题
威廉姆斯遇见冯卡门：薄板断裂中的模式耦合和非线性
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
Y. Potdar
中科院分区：
文献类型：
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作者：
A. Zehnder;Y. Potdar
本文用von Karman板理论研究了受薄膜载荷和弯曲载荷作用的板在大挠度下裂纹尖端附近的应力场。结果表明，近端场的性质与线性板理论的结果一致。然而，裂纹尖端的应力强度因子的测定需要解决一个大的偏转，因此非线性，由于膜和弯曲模式的耦合问题。这种效果是通过三个简单的几何形状的板的压力，张力和剪切加载的断裂问题的解决方案说明。在其中两个问题中，能量释放率是准确的。通过非线性有限元计算，得到了与拉伸、弯曲和剪切有关的应力强度因子和能量释放率。这些结果进行了比较的能量释放率和应力强度因子的理论结果。
The stress field near the tip of a crack in a plate subjected to membrane and bending loads and undergoing large deflections, is investigated by performing an asymptotic analysis in the context of von Karman plate theory. It is demonstrated that the character of the near tip fields is identical to those of the linear plate theory. However, the determination of the crack tip stress intensity factors requires the solution of a large deflection, and hence nonlinear, problem due to the coupling of the membrane and bending modes. This effect is illustrated through the solution of three fracture problems involving plates of simple geometries loaded by pressure, tension and shearing. In two of these problems, the energy release rate is obtained exactly. Nonlinear finite element computations are performed to obtain the stress intensity factors and energy release rate associated with tension, bending and shearing. These results are compared to the theoretical results for energy release rate and stress intensity factors.