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Extented crouch fundamental solutions of parabolic elements for 2D piezoelectric media

机译:二维压电介质抛物面元件的扩展蹲伏基本解决方案

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摘要

In order to simulate the singularity of the solution near crack tips, the parabolic element at the crack tip is used in displacement discontinuity method. The extended Crouch fundamental solutions of parabolic elements for 2D piezoelectric media are derived based on the extended displacement discontinuity fundamental solution. Extended displacement discontinuity method (EDDM) using parabolic elements at crack tips under impermeable boundary condition is implemented. Numerical results show that the precision and efficiency of the EDDM can be greatly improved by using the parabolic elements.
机译:为了模拟裂纹尖端附近解的奇异性,在位移不连续方法中使用了裂纹尖端处的抛物线元素。基于扩展的位移不连续性基本解,推导了二维压电介质抛物线元素的扩展的克劳奇基本解。实现了在不透水边界条件下利用裂纹尖端的抛物线单元扩展位移不连续性方法(EDDM)。数值结果表明,通过使用抛物线元素可以大大提高EDDM的精度和效率。

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