弹性损伤的一般理论

唐雪松; 蒋持平; 郑健龙

弹性损伤的一般理论

1.
北京航空航天大学飞行器设计与应用力学系
2. 长沙交通学院路桥工程系

基金项目: 国家自然科学基金资助项目(19972005); 交通部重点科技项目; 航空科学基金资助项目(99G51022)

详细信息

作者简介:
唐雪松(1964-),男,湖南双峰人,在职博士生,长沙交通学院副教授,410076,长沙.

中图分类号: O 346.5
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- 文章访问数: 2997
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- 被引次数: 0
出版历程
- 收稿日期: 1999-10-08
- 网络出版日期: 2001-01-31

A General Theory for Elastic Damage

1.
Beijing University of Aeronautics and Astronautics, Dept. of Flight Vehicle Design and Applied Mechanics
2. Changsha Communications University, Dept. of Highway and Bridge Engineering

摘要

摘要: 依据不可逆热力学理论,未引入任何附加假设,建立了各向异性弹性损伤的一般理论.从理论上论证了由应变等效假设导出的经典损伤本构方程的近似性.首次阐明了材料损伤度的多种定义(损伤的单标量、双标量、二阶张量与四阶张量描述)之间的区别与联系.使连续损伤力学的理论体系更臻严密和完整.
- 连续介质力学 /
- 不可逆过程热力学 /
- 本构关系 /
- 弹性损伤 /
- 损伤演化方程
Abstract: On the strict basis of irreversible thermodynamics, a general theory for elastic damage is developed. The approximations and limitations of the classical stress-strain constitutive equation based on the strain equivalence hypothesis are argued theoretically. The relations and differences of the existing various definitions of damage (single scalar, double scalar, second rank and fourth rank tensor damage variables) are expounded for the first time. The theoretical rigor of continuum damage mechanics is improved.
- continuum mechanics /
- irreversible process thermodynamics /
- constitutive relation /
- elastic damage /
- damage evolution equation.

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参考文献(1)

[1] Rabier P J. Some remarks on damage mechanics[J]. Int J Engng Sci, 1989, 27:29~54. [2] Lemaitre J. A course on damage mechanics[M]. Berlin:Springer-Verlag, 1992. [3] 张行,赵军. 金属构件应用疲劳损伤力学[M]. 北京:国防工业出版社, 1998. [4] Chaboche J L. Anisotropic creep damage in the framework of continuum damage mechanics[J]. J Nuc Engng Des, 1984, 79:309~319. [5] 高蕴昕,郑泉水,余寿文. 弹性各向同性损伤的双标量描述[J]. 力学学报, 1996, 28:542~549. [6] Cauvin A, Testa R B. Elastoplastic materials with isotropic damage[J]. Int J Solids Struc, 1999, 36:727~746. [7] 唐雪松,蒋持平,郑键龙. 弹性损伤材料的应力-应变关系与损伤演化方程[J]. 长沙交通学院学报, 1999, 15:8~14. [8] Lemaitre J, Chaboche J L. Aspect phénoménologique de la rupture par endommagement[J]. J de Méca Appl, 1978,2:317~365. [9] Lemaitre J, Chaboche J L. Mécanique des Matériaux Solids[M]. Paris:Dunod, 1985. [10] Kachanov M. On the effective moduli of solids with cavities and cracks[J]. Int J Frac, 1993, 59:R17~R21. [11] Benvensite Y. On the Mori-Tanaka's method in cracked solids[J]. Mech Res Comm, 1986, 13:193~201.

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