[1]朱耀庭,王瑜,孙璐,等.塑性与损伤不同耦合状态的热力学阐述[J].东南大学学报(自然科学版),2009,39(5):1065-1069.[doi:10.3969/j.issn.1001-0505.2009.05.039]
　Zhu Yaoting,Wang Yu,Sun Lu,et al.Thermodynamics formulation of different coupling conditions between damage and plasticity[J].Journal of Southeast University (Natural Science Edition),2009,39(5):1065-1069.[doi:10.3969/j.issn.1001-0505.2009.05.039]
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塑性与损伤不同耦合状态的热力学阐述()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
39
期数:
2009年第5期
页码:
1065-1069
栏目:
数学、物理学、力学
出版日期:
2009-09-20

文章信息/Info

Title:
Thermodynamics formulation of different coupling conditions between damage and plasticity
作者:
朱耀庭1;  王瑜2;  孙璐1;  游克思1
1 东南大学交通学院, 南京 210096; 2 北京交通大学交通运输学院, 北京 100044
Author(s):
Zhu Yaoting1;  Wang Yu2;  Sun Lu1;  You Kesi1
1 Shool of Transportation, Southeast University, Nanjing 210096, China
2 Shool of Transportation, Beijing Jiaotong University, Beijing 100044, China
关键词:
塑性和损伤耦合;  耦合状态;  热力学;  正交法则;  极值原理
Keywords:
coupled damage-plasticity;  coupling condition;  thermodynamics;  orthogonality condition;  extremum principle
分类号:
O346.5
DOI:
10.3969/j.issn.1001-0505.2009.05.039
摘要:
为了准确描述塑性与损伤在不同耦合状态下材料的本构关系特性, 将塑性与损伤视为具有耗散特征的内变量.在不可逆热力学理论框架下基于正交准则和极值原理, 阐述内变量演化律的数学表达和流动法则特性,同时利用相应的实例展示了分析推导过程并验证了理论结果的正确性.结果表明: 在一阶齐次条件下, 强耦合状态内变量演化律表示为对称矩阵与对偶广义力的乘积, 弱耦合状态则表示为对角矩阵与对偶广义力的乘积; 同时在利用热力学极值理论推导演化律方程的过程中, 强耦合状态下所有内变量服从同一屈服准则和广义流动势函数,弱耦合状态下各内变量具有独立的屈服准则和流动法则.
Abstract:
On the basis of orthogonality condition and extremum principle within the frame of thermodynamics, the mathematical characteristics of constitutive equations and the flow rules of internal variables for different coupling conditions between damage and plasticity are formulated, and examples of application and analysis are also presented. Under the condition of homogeneous first order function, the kinetic evolution laws of internal variables are expressed by a product of a symmetrical matrix and the conjugate thermodynamic force vector under the strong coupling condition, while it is a diagonal matrix rather than a symmetrical matrix under the weak coupling condition. The flow rules for different coupling conditions are derived from the minimum free energy theorem. It is indicated that, under the strong coupling condition, only a single yield function with evolution laws exist for all internal variables, while every internal variable owns a separate yield criteria under the weak coupling condition.

参考文献/References:

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备注/Memo

备注/Memo:
作者简介: 朱耀庭(1982—), 男, 博士生; 孙璐(联系人), 男, 博士, 教授, 博士生导师, sunl@cua.edu.
基金项目: 江苏省创新学者攀登计划资助项目(SBK200910046)、教育部霍英东基金资助项目(114024)、江苏省博士后科研资助计划项目(0901005C).
引文格式: 朱耀庭,王瑜,孙璐,等.塑性与损伤不同耦合状态的热力学阐述[J].东南大学学报:自然科学版,2009,39(5):1065-1069. [doi:10.3969/j.issn.1001-0505.2009.05.039]
更新日期/Last Update: 2009-09-20