应用科学学报 ›› 1984, Vol. 2 ›› Issue (1): 11-14.

• 论文 • 上一篇    下一篇

粘弹塑性介质动力断裂问题中的路径无关积分

欧阳鬯   

  1. 复旦大学
  • 出版日期:1984-03-31 发布日期:1984-03-31

PATH-INDEPENDENT INTEGRALS IN DYNAMICAL FRACTURE PROBLEMS FOR VISCO-ELASTIC-PLASTIC MEDIA

C. OUYANG   

  1. Fudan University
  • Online:1984-03-31 Published:1984-03-31

摘要: 路径无关积分对于断裂准则的研究是重要的,本文推广文献[1]中关于非线性弹性、弹塑性介质断裂动力学中路径无关积分的研究于粘弹塑性介质的动力断裂问题,作出了若干相应的路径无关积分.给出了裂纹在这类介质中动力扩展时动力裂纹扩展力的线积分表达式,并证明所构作的路径无关积分等于动力裂纹扩展力,从而赋予所论路径无关积分以明确的力学意义,这就为以它们作基础构作粘弹塑性介质的动力断裂准则给出了理论依据.

Abstract: In this paper, the results in reference[1] for nonlinear elastic and elastic-plastic media are extended into the path-independent integrals for dynamic fracture problems of visco-elastic-plastic media. Some path-independent integrals are worked out and shown to be the dynamic crack extension force. Thus, it is possible to use these integrals to form some dynamic fracture criterion for visco-elastic-plastio media.