各向同性弹性损伤本构方程的一般形式

唐雪松; 蒋持平; 郑健龙

各向同性弹性损伤本构方程的一般形式

1.
北京航空航天大学, 飞行器设计与应用力学系, 北京, 100083;
2.
长沙交通学院, 桥梁与结构工程系, 长沙, 410076;
3.
长沙交通学院, 道路与交通工程系, 长沙, 410076

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

详细信息

作者简介:
唐雪松(1964- ), 男, 湖南双峰人, 副教授, 博士

中图分类号: O346.5
计量
- 文章访问数: 2691
- HTML全文浏览量: 126
- PDF下载量: 807
- 被引次数: 0
出版历程
- 收稿日期: 1999-10-11
- 修回日期: 2001-05-16
- 刊出日期: 2001-12-15

General Expressions of Constitutive Equations for Isotropic Elastic Damaged Materials

1.
Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China;
2.
Department of Bridge and Structure Engineering, Changsha Jiaotong University, Changsha 410076, P. R. China;
3.
Department of Highway and Communications Engineering, Changsha Jiaotong University, Changsha 410076, P. R. China

摘要

摘要: 直接从不可逆热力学基本定律出发,推导出弹性各向同性损伤材料本构方程的一般形式,克服了由应变等效假设建立的经典损伤本构方程的缺陷,并阐明了两种各向同性弹性损伤模型(单标量模型与双标量模型)之间的联系.研究表明,采用单标量描述的损伤模型,在材料损伤本构方程中含有两个“损伤效应函数”,反映损伤对于两个弹性常数的不同影响.应变等效假设给出的损伤本构方程,是该文方程的一个近似形式,常常不能满意地描述实际材料的损伤行为.
- 损伤力学 /
- 不可逆热力学 /
- 弹性损伤 /
- 本构方程
Abstract: The general expressions of constitutive equations for isotropic elastic damaged materials were derived directly from the basic law of irreversible thermodynamics. The limitations of the classical damage constitutive equation based on the well-known strain equivalence hypothesis were overcome. The relationships between the two elastic isotropic damage models (i. e. single and double scalar damage models) were revealed. When a single scalar damage variable defined according to the microscopic geometry of a damaged material is used to describle the isotropic damage state, the constitutive equations contain two "damage effect functions", which describe the different influences of damage on the two independent elastic constants. The classical damage constitutive equation based on the strain equivalence hypothesis is only the first order approximation of the general expression. It may be unduly simplified and may fail to describe satisfactorily the damage phenomena of practical materials.
- damage mechanics /
- irreversible thermodynamics /
- elastic damage /
- constitutive equation

HTML全文

参考文献(15)

[1]	КачановЛМ.Овремениразрущениявусловияхпользучести [J].ИевАНСССРОТН,1958,(8):26-31.
[2]	Rabotnov Y N.Creep Problems in Structural M embers[M].Amsterdam:North-Holland,1969.
[3]	Kachanov L M.Introduction to Continuum Damage Mechanic s[M].Dordrecht:Martinus Nijhoff Publishers,1986.
[4]	Chaboche J L.Continuum damage mechanics:Part Ⅰ-general concepts[J].J Appl Mech,1988,55(1):59-64.
[5]	Chaboche J L.Continuum damage mechanics:part Ⅱ-damage growth,c rack initiation and crack growth[J].J Appl Mech,1988,55 (1):65-72.
[6]	Lemaitre J.A Course on Damage Mechanics[M].Berlin:Springer-Verlag,1992.
[7]	Lemaitre J.Evaluation of dissipation and damage in metals submitted to dynamic loading[A].In:Proc ICM-1[C].Kyoto,1971.
[8]	Rabier P J.Some remarks on damage mechanics[J].Int J Engng Sci,1989,27(1):29-54.
[9]	高蕴昕,郑泉水,余寿文.各向同性弹性损伤的双标量描述[J].力学学报,1996,28(5):542-549.
[10]	Fares N.Effective stiffness of cracked elastic solids[J].Appl Mech Rev,1992,45:336-345.
[11]	Kachanov M,Tsukrov I,Shafiro B.Effective moduli of solids with cavities of various shapes[J].Appl Mech Rev,1994,47(1):S151-S174.
[12]	Cauvin A,Testa R B.Elastoplastic materials with isotropic damage[J].Internat J Solids Structures,1999,36:727-746.
[13]	Coleman B D,Gurtin M E.Thermodynamics with internal variable[J].J Chen Phys,1967,47:597-613.
[14]	Kachanov M.On the effective moduli of solids with cavities and cracks[J].Int J Fracture,1993,59:R17-R21.
[15]	Benvensite Y.On the Mori-Tanaka's method in cracked solids[J].Mech Res Comm,1986,13(4):193-201.