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APPLICATION OF THE LINEAR MATCHING METHOD TO CRACKED BODIES

机译:线性匹配方法在裂纹物体上的应用

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摘要

The purpose of this paper is to demonstrate the application of the Linear Matching Method (LMM) to cracked bodies subjected to cyclic histories of loads and temperatures. The method, related to the methods of Elastic Compensation and Gloss r-node, used in design calculations for a number of years, involves matching the behaviour of a nonlinear material to that of a linear material. The significance of the developed programming methods, in engineering design, is then discussed for two applications. The first is in the identification of ratchet limits for cracked structures subjected to variable loads and temperatures. Solutions are presented for both perfect plasticity and complete cyclic hardening conditions, for differing values of crack lengths, for the classical axisymmetric Bree problem. The other is in the investigation of the relationship between the near crack-tip fields and the cyclic loading histories. The analysis reveals the strong influence of the elastic stresses, immediately outside the stress singularities, allowing an understanding of the behaviour of mechanically and thermally induced crack-tip fields to be developed.
机译:本文的目的是演示线性匹配方法(LMM)在承受载荷和温度循环历史的裂纹体上的应用。这种方法与弹性补偿和光泽r节点的方法有关,已在设计计算中使用了很多年,涉及将非线性材料的行为与线性材料的行为进行匹配。然后针对两种应用讨论了已开发的编程方法在工程设计中的意义。首先是确定承受可变载荷和温度的破裂结构的棘轮极限。针对经典的轴对称布雷问题,针对完美的塑性和完整的循环硬化条件,不同的裂纹长度值,提出了解决方案。另一个是在研究近裂纹尖端场与循环载荷历史之间的关系。分析揭示了弹性应力的强大影响,即紧接在应力奇异点之外,从而使人们对机械和热诱导裂纹尖端场的行为有了更深入的了解。

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