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Boundary integral equations in the frequency domain for interface linear cracks under impact loading
Acta Mechanica ( IF 2.3 ) Pub Date : 2020-06-20 , DOI: 10.1007/s00707-020-02743-2
Oleksandr V. Menshykov , Marina V. Menshykova , Igor A. Guz

The linear crack between two dissimilar elastic isotropic half-spaces under normal pulse loading is considered. The system of boundary integral equations for displacements and tractions in the frequency domain is derived from the dynamic Somigliana identity and adapted to solve the problem in the time domain. The numerical convergence of the method with respect to the number of the Fourier coefficients is proved. The effects of material properties of the bimaterial on the distribution of stress intensity factors (opening and transverse shear modes) are presented and analysed.

中文翻译:

冲击载荷作用下界面线性裂纹的频域边界积分方程

考虑了正常脉冲载荷下两个不同的弹性各向同性半空间之间的线性裂纹。频域中位移和牵引力的边界积分方程系统源自动态 Somigliana 恒等式,适用于解决时域中的问题。证明了该方法在傅里叶系数个数方面的数值收敛性。介绍并分析了双材料的材料特性对应力强度因子(开口和横向剪切模式)分布的影响。
更新日期:2020-06-20
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