# [1]周太全,李兆霞,贾军波.弹塑性损伤分析的参变量变分原理[J].东南大学学报(自然科学版),2001,31(5):67-71.[doi:10.3969/j.issn.1001-0505.2001.05.015] 　Zhou Taiquan,Li Zhaoxia,Jia Junbo.Parametric Variational Principle for Coupled Elasto-Plasticity Damage Problem Analysis[J].Journal of Southeast University (Natural Science Edition),2001,31(5):67-71.[doi:10.3969/j.issn.1001-0505.2001.05.015] 点击复制 弹塑性损伤分析的参变量变分原理() 分享到： var jiathis_config = { data_track_clickback: true };

31

2001年第5期

67-71

2001-09-20

## 文章信息/Info

Title:
Parametric Variational Principle for Coupled Elasto-Plasticity Damage Problem Analysis

Author(s):
College of Civil Engineering, Southeast University, Nanjing 210096, China)

Keywords:

O344.3
DOI:
10.3969/j.issn.1001-0505.2001.05.015

Abstract:
The parametric variational principle adopts the maximum variational idea in the modern control theory and uses state equations deduced from the constitutive laws to control the functional variation, which is an effective solution to the nonlinear equations. Based on the fundamental equations of elasto-plasticity coupled damage, the article constructs the potential functional of elasto-plasticity and deduces the state equations with some approximation of damage evolution equation and load functions. It is verified that the solution of elasto-plasticity damage problem can be deduced to solve problem of the potential energy function minimum under the restriction of state equations. Thus the parametric variational principle for coupled damage is brought forth. The variational principle has the virtue of definite physical meaning and the finite element equations are presented in the article to facilitate the application of parametric variatioal principle, which is easy to program on computer.Using the method mentioned in the article, a numerical calculation is carried out and the calculation result shows that the method is efficient for solving ealsto-plasticity damage problems.

## 参考文献/References:

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