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曾攀, 孙训方. 用于弹性蠕变损伤问题的参变量变分原理[J]. 力学学报, 1992, 24(5): 629-634. DOI: 10.6052/0459-1879-1992-5-1995-784
引用本文: 曾攀, 孙训方. 用于弹性蠕变损伤问题的参变量变分原理[J]. 力学学报, 1992, 24(5): 629-634. DOI: 10.6052/0459-1879-1992-5-1995-784
THE VARIATIONAL PRINCIPLE FOR ELASTIC CREEP-DAMAGE PROBLEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(5): 629-634. DOI: 10.6052/0459-1879-1992-5-1995-784
Citation: THE VARIATIONAL PRINCIPLE FOR ELASTIC CREEP-DAMAGE PROBLEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(5): 629-634. DOI: 10.6052/0459-1879-1992-5-1995-784

用于弹性蠕变损伤问题的参变量变分原理

THE VARIATIONAL PRINCIPLE FOR ELASTIC CREEP-DAMAGE PROBLEM

  • 摘要: 参变量变分原理是近年来发展的用于处理数学物理问题中边界待定边值问题的一种有效方法,本文建立起用于蠕变损伤问题结构分析的参变量变分原理,该原理将原问题化为求解带约束条件的泛函极值,其约束条件就是由蠕变损伤本构关系推导出的系统状态方程组;该原理物理意义明确、表达式简单并且规范,容易为计算机实现。本文给出原理的证明,并就2.25Cr-1Mo钢在550℃下的蠕变问题给出实例。

     

    Abstract: The parametric vanational principle (PVP) is powerful to solve the nonlinear unspecified boundary problems in continuum mechanics. By the PVP, this paper studies the elastic-creep-damage problem. The proposed principle, a development of optimum control theory, is to minimize a constructed potential energy functional under the constrained conditions which are converted from the creep-damage equations. The mathematical proof of principle is given. Also, the paper quotes the results of creep experiments of 2.2...

     

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