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首页> 外文期刊>Applied Mathematical Modelling >Application of modified Dugdale model to two pairs of collinear cracks with coalesced yield zones
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Application of modified Dugdale model to two pairs of collinear cracks with coalesced yield zones

机译：修正的Dugdale模型在屈服区合并的两对共线裂纹中的应用

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In this paper, a modified Dugdale's approach has been presented to arrest four straight collinear quasi-static cracks with coalesced yield zones. An infinite elastic perfectly plastic plate, containing four cracks, is subjected to uniform stresses applied at infinite boundary of the plate. As a result, yield zones develop at each crack tip. On increasing the stresses, yield zones between two pairs of cracks get coalesced and after that at each internal crack tip. In order to detain propagation of cracks, a quadratic yield stress distribution is applied on the rims of the yield zones. This distribution enables to investigate the residual strength of an infinite plate, when the plate fails at a stress which is well below the yield stress of the plate. Muskhelishvili's complex variable technique is use to solve the stated problem. Analytical expressions for stress intensity factor and crack-tip opening displacements are established. The results validate with previously published works.
机译：在本文中，提出了一种改进的Dugdale方法，以阻止四个具有合并屈服区的直线共线准静态裂纹。包含四个裂纹的无限弹性，完全塑性的板要承受在板的无限边界处施加的均匀应力。结果，在每个裂纹尖端处形成屈服区。随着应力的增加，两对裂纹之间的屈服区会合并，然后在每个内部裂纹尖端处合并。为了阻止裂纹的扩展，在屈服区的边缘上施加了二次屈服应力分布。当该板在远低于板的屈服应力的应力下破裂时，这种分布能够研究无限板的残余强度。 Muskhelishvili的复杂变量技术用于解决上述问题。建立了应力强度因子和裂纹尖端开口位移的解析表达式。结果与先前发表的作品相符。

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