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On the inclined crack problem in an orthotropic medium under biaxial loading

机译:双轴载荷下正交各向异性介质中的倾斜裂纹问题

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摘要

The problem of an inclined crack in an orthotropic medium under biaxial loading is analyzed. A suitable coordinate transformation is introduced and two decoupled systems of the Cauchy-Riemann type are obtained in terms of complex potentials. The crack problem is solved by using the method of analytic continuation and closed form expressions of the near tip stress and displacement fields are derived. The influence of load biaxiality on the stress intensity factors, as well as on the local stress components is studied and graphically represented. Moreover, the action of material orthotropy on various quantities describing the crack characteristic is pointed out.
机译:分析了正交各向异性介质在双轴载荷下的倾斜裂纹问题。引入了合适的坐标变换,并根据复势获得了两个柯西-黎曼型解耦系统。用解析连续法解决了裂纹问题,导出了近端应力和位移场的闭合形式。研究并用图形表示了载荷双轴性对应力强度因子以及局部应力分量的影响。此外,指出了材料正交各向异性在描述裂纹特征的各种数量上的作用。

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