断裂力学判据的评述

发布时间：2019-02-20 08:07

【摘要】：从Inglis和Griffith的著名论文到Irwin和Rice等的奠基性贡献,对断裂力学中的线弹性断裂力学的K判据,界面断裂力学的G判据,和弹塑性断裂力学的J判据作了扼要的综述.介绍了在界面断裂力学G判据的基础上提出的界面断裂力学的K判据,以说明断裂力学的判据存在改进的可能性.在综述中归纳出断裂力学判据中目前还没有较好解决的几个问题.在总结以往断裂力学研究经验的基础上,指出裂纹端应力奇异性的源是对断裂力学判据存在的问题作进一步研究的切入点.探讨了裂纹端应变间断的奇点是裂纹端应力奇异性的源的问题,从而对裂纹端应力强度因子的物理意义进行了讨论.最后,阐述了进行可靠的裂纹端应力场的弹塑性分析是改进弹塑性断裂力学判据的关键,而进行可靠的裂纹端应力场的弹塑性分析的前提是要通过裂纹端应力奇异性的源的研究来获得作用在裂纹端的造成裂纹端应变间断的有限值应力.
[Abstract]:From the famous papers of Inglis and Griffith to the foundational contributions of Irwin and Rice, the K criterion of linear elastic fracture mechanics, G criterion of interfacial fracture mechanics and J criterion of elastic-plastic fracture mechanics in fracture mechanics are briefly summarized. Based on the G criterion of interfacial fracture mechanics, the K criterion of interfacial fracture mechanics is introduced to illustrate the possibility of improving the criterion of interfacial fracture mechanics. In this paper, some problems which have not been solved well in the criterion of fracture mechanics are summarized. On the basis of summarizing the previous research experience of fracture mechanics, it is pointed out that the source of stress singularity at crack end is the starting point for further research on the problems existing in the criterion of fracture mechanics. The problem that the singularity of strain discontinuity at the crack end is the source of the stress singularity at the crack end is discussed, and the physical meaning of the stress intensity factor at the crack end is discussed. Finally, the key to improve the criterion of elastic-plastic fracture mechanics is to analyze the stress field at the crack end reliably. The premise of a reliable elastic-plastic analysis of the stress field at the crack end is to obtain the finite stress acting on the crack end by studying the source of the stress singularity at the crack end, which results in the strain discontinuity at the crack end.
【作者单位】：同济大学;
【基金】：国家自然科学基金资助项目(11572226)
【分类号】：O346.1

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