A rectangular plane element containing an internal open stable crack is formulated. Using the well-known local flexibility approach, the element flexibility matrix is derived by the addition of the supplementary flexibility caused by cracking to the intact element flexibility. For utilization of the force formulation method, the calculation of the strain energy release rate is a necessary parameter for computing the additional flexibility matrix due to crack. The developed cracked element can be used for static and vibration analysis of structures and also vibration-based crack detection. Some numerical examples evaluate the accuracy of the suggested formulation.

中文翻译：

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基于力的矩形裂纹单元

公式化了一个包含内部开放稳定裂纹的矩形平面单元。使用众所周知的局部柔度方法，单元柔度矩阵是通过在完整单元柔度上加上由开裂引起的补充柔度得出的。对于力公式化方法的应用，应变能释放率的计算是计算裂纹附加柔度矩阵的必要参数。开发的裂纹单元可用于结构的静态和振动分析以及基于振动的裂纹检测。一些数值示例评估了建议公式的准确性。