基于光滑有限元的含裂纹复合材料的虚拟裂纹闭合法

为提高求解断裂参数的精度和效率,将光滑有限元法与虚拟裂纹闭合法相结合,提出光滑有限元-虚拟裂纹闭合法.对含不同长度和角度的倾斜裂纹复合材料圆板的断裂参数进行了求解,并与有限元-虚拟裂纹闭合法计算结果进行了对比.数值算例结果验证了该方法具有高精度,裂纹尖端处单元不需特殊处理,对网格尺寸要求低等优点,是分析断裂问题简洁高效的数值计算方法.

Virtual Crack Closure Technique Based on Smoothed Finite Element Method for Composite Materials with Cracks

To improve the solution efficiency and accuracy of the fracture parameters, the smoothed finite element method-virtual crack close method was proposed based on the combination of these two methods. The fracture parameters of the composite material circular plate with different length and angle oblique cracks were solved, and the result was compared with that of the finite element method-virtual crack closure method. The calculation result confirms that this method has advantages of high accuracy, no special treatment on the elements at crack tip and less mesh resolution requirement. This method is simple but efficient for the calculation of fracture problems.