The visco-elastic plastic damage model based on the principle of minimum dissipative energy

QIU Zhan-hong; ZHANG Wo-hua; CHEN Yun-min

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The visco-elastic plastic damage model based on the principle of minimum dissipative energy

更新时间：2026-06-25

- The visco-elastic plastic damage model based on the principle of minimum dissipative energy
- Vol. 28, Issue S1, (2007)
- 作者机构：
  
  1. 浙江大学岩土工程研究所,杭州,310027
  2. 台州学院建筑工程系,浙江,台州,318000
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU443
- Online First：28 March 2014，
  
  Published：2007
- 稿件说明：
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QIU Zhan-hong, ZHANG Wo-hua, CHEN Yun-min. The visco-elastic plastic damage model based on the principle of minimum dissipative energy[J]. 2007, 28(S1).
DOI：

QIU Zhan-hong, ZHANG Wo-hua, CHEN Yun-min. The visco-elastic plastic damage model based on the principle of minimum dissipative energy[J]. 2007, 28(S1). DOI：

摘要

在基于“应变等效假定”和“余应变能等效假定”两种不同损伤力学基本假定的黏塑性损伤本构方程基础上，将最小耗能原理应用于固体介质的黏弹塑性问题，给出了损伤材料的黏塑性应变流变速率、黏塑性损伤发展速率和黏弹-塑性材料积累应变强弱化速率的非线性演化发展方程，建立了两个不同的黏弹塑性损伤模型（A和B），并进行了试验验证。作为算例，最后运用黏塑性损伤模型A，对地震荷载作用下建于岩石基础上的某混凝土重力坝的动力损伤问题进行了分析，结果表明该模型应用于混凝土重力坝的动力损伤分析是可行的。

Abstract

Based on two kinds of visco-elastic plastic damage constitutive equations according to “hypothesis of strain equivalence” and “hypothesis of complementary energy”

the principle of minimum dissipative energy is applied to visco-elastic plastic damage theory of solid materials. The nonlinear evolution equations of visco-plastic strain

damage variable and strengthening or softening parameter of damaged materials are presented. Visco-elastic plastic damage constitutive equations and three nonlinear evolution equations of damaged material

are considered and two different visco-elastic plastic damage models A and B of solid materials are established

and these two model are examined. Finally

the visco-elastic plastic dynamic damage problem of a concrete gravity dam due to earthquake load are analyzed by adopting visco-elastic plastic damage models A. Results show that this model can be used to analyze the dynamic damage of concrete gravity dam.

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