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On higher order parameters in cracked composite plates under far‐field pure shear
Fatigue & Fracture of Engineering Materials & Structures ( IF 3.1 ) Pub Date : 2019-12-29 , DOI: 10.1111/ffe.13142
Saeid Ghouli 1 , Majid R. Ayatollahi 1 , Morteza Nejati 2
Affiliation  

This paper presents the analytical solution of the crack tip fields as well as the crack parameters in an infinitely large composite plate with a central crack subjected to pure shear loading. To this end, the complex variable method is employed to formulate an asymptotic solution for the crack tip fields in an anisotropic plane. Using a stress‐based definition of the crack tip modes of loading, only the mode II crack parameters are found to be non‐zero under pure shear load. Special focus is given to the determination of the higher order parameters of the crack tip asymptotic field, particularly the first non‐singular term, ie, the T‐stress. Unlike the isotropic materials, in which the T‐stress is zero under pure shear, it is found that the T‐stress is non‐zero for the case of anisotropic materials, being the only material‐dependent crack tip stress parameter. The veracity of our exact crack tip fields is assessed and verified through a comparison made with respect to the finite element (FE) solution. Finally, we demonstrate the significance of the T‐stress on stresses near the crack tip in composite plates under pure shear loads.

中文翻译:

远场纯剪切作用下裂纹复合板的高阶参数

本文给出了无限大复合板在纯剪切载荷作用下具有中心裂纹的裂纹尖端场的解析解以及裂纹参数。为此,采用复变量方法为各向异性平面中的裂纹尖端场制定了渐近解。使用基于应力的裂纹尖端加载模式定义,仅在纯剪切载荷下,仅发现II型裂纹参数为非零。特别关注裂纹尖端渐近场的高阶参数的确定,特别是第一个非奇异项,即T应力。与在纯剪切作用下T应力为零的各向同性材料不同,对于各向异性材料,发现T应力不为零,是唯一取决于材料的裂纹尖端应力参数。通过对有限元(FE)解决方案进行比较,可以评估和验证我们精确裂纹尖端场的准确性。最后,我们证明了纯应力作用下T应力对复合板裂纹尖端附近应力的影响。
更新日期:2020-02-04
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