考虑损伤的内变量黏弹-黏塑性本构方程

张泷; 刘耀儒; 杨强; 薛利军

doi:10.6052/0459-1879-13-387

考虑损伤的内变量黏弹-黏塑性本构方程

1.
清华大学水沙科学与水利水电工程国家重点实验室, 北京 100084
2. 中国水电顾问集团成都勘测设计研究院, 成都 610072

基金项目: 国家自然科学基金（11172150，51279086）和水沙科学与水利水电工程国家重点实验室科研（2013-KY-2）项目资助.

详细信息

作者简介:
张泷，博士研究生，主要研究方向：岩石力学与水工结构.E-mail：zhanglong10@mails.tsinghua.edu.cn

中图分类号: O344.6
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出版历程
- 收稿日期: 2013-11-20
- 修回日期: 2014-02-16
- 刊出日期: 2014-07-17

AN INTERNAL STATE VARIABLE VISCOELASTIC-VISCOPLASTIC CONSTITUTIVE EQUATION WITH DAMAGE

1.
State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China
2. Chengdu Hydroelectric Investigation & Design Institute, CHECC, Chengdu 610072, China

Funds: The project was supported by the National Natural Science Foundation of China(11172150，51279086)and State Key Laboratory of Hydroscience and Engineering (2013-KY-2).

摘要

摘要: 基于Rice 不可逆内变量热力学框架，在约束构型空间中讨论材料的蠕变损伤问题. 通过给定具体的余能密度函数和内变量演化方程推导出考虑损伤的内变量黏弹-黏塑性本构方程. 通过模型相似材料单轴蠕变加卸载试验对一维情况下的本构方程进行参数辨识和模型验证，本构方程能很好地描述黏弹性变形和各蠕变阶段.不同的蠕变阶段具有不同的能量耗散特点. 受应力扰动后，不考虑损伤的材料系统能自发趋于热力学平衡态或稳定态. 在考虑损伤的整个蠕变过程中，材料系统先趋于平衡态再背离平衡态发展. 能量耗散率可作为材料系统热力学状态偏离平衡态的测度；能量耗散率的时间导数可用于表征系统的演化趋势；两者的域内积分值可作为结构长期稳定性的评价指标.
- 内变量热力学 /
- 蠕变损伤 /
- 本构方程 /
- 能量耗散率 /
- 稳定评价指标
Abstract: Based on Rice internal state variable thermodynamics, the creep damage is discussed in constrained configuration space. An internal state variable viscoelastic-viscoplastic constitutive equation with damage under constant stress and temperature conditions is derived by giving specific complementary energy density function and evolution functions of internal state variables. Parameters identification and model validation are conducted under one dimensional scene through uniaxial creep test of analogue material by load and unload method. The proposed constitutive equation can describe viscoelastic strain and three phases of creep preferably. Different stages accompany with different energy dissipation processes. The material system without damage tends to thermodynamic equilibrium state or steady state after disturbing by stress. During creep damage process, the material system has a tendency that is from closing to equilibrium state or steady state to departing from equilibrium state. The energy dissipation rate can be a measure of distance between current state and equilibrium state of material system; the time derivative of energy dissipation rate can characterize development trend of system, and their integral value in domain can be regarded as indexes to evaluate the long-term stability of structure.
- internal state variable thermodynamics /
- creep damage /
- constitutive equation /
- energy dissipation rate /
- evaluation index of stability

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