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 引用本文: 张作启, 刘彬. 任意加载模式下含裂纹超弹性体的能量释放率[J]. 力学学报, 2013, 45(1): 129-133.
Zhang Zuoqi, Liu Bin. THE ENERGY RELEASE RATE OF CRACKED HYPERELASTIC BODY UNDER ARBITRARY LOADINGS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(1): 129-133.
 Citation: Zhang Zuoqi, Liu Bin. THE ENERGY RELEASE RATE OF CRACKED HYPERELASTIC BODY UNDER ARBITRARY LOADINGS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(1): 129-133.

## THE ENERGY RELEASE RATE OF CRACKED HYPERELASTIC BODY UNDER ARBITRARY LOADINGS

• 摘要: 能量释放率是表征断裂性能的一个重要指标, 在经典的断裂力学中, 只给出在恒力或恒位移加载情形下通过柔度标定来确定材料能量释放率的公式, 而且仅限于线弹性材料. 但是近年来生物材料和高分子材料(如橡胶) 等超弹性材料的断裂韧性和增韧机理越来越受到研究人员的关注, 该文旨在导出一个更加通用的柔度标定公式, 从而可以确定非线性弹性材料在任意加载模式下的能量释放率, 并能判断裂纹扩展的稳定性. 在推导的过程中, 对一些重要而容易被错误理解的概念做了进一步论述.

Abstract: Energy release rate is an important parameter characterizing fracture behaviors of materials. In classic fracture mechanics, only formulae for the energy release rate of linear elastic cracked structures are given by compliance method, especially limited to fixed loading or displacement boundary conditions. Moreover, the fracture toughness and toughening mechanism of hyperelastic materials such as biomaterials and polymer (rubber-like materials) are attracting more and more attention of researchers. The paper aims to develop general formulae to calculate the energy release rate of nonlinear elastic structures under arbitrary loading conditions, and these formulae also facilitate to evaluate the stability of crack growth. During the deducing process, several important but misleading concepts are further clarified.

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