弹塑性力学变分原理的新形式  

New Model of Variational Principle for Elastoplasticity

作　　者：孙道恒[1] 胡俏[1] 徐灏[1] 

机构地区：[1]东北大学机械工程与自动化学院

出　　处：《东北大学学报（自然科学版）》1998年第1期75-78,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金

摘　　要：以参变量变分原理为基础，建立并证明了二类变量（ｄｕｉ，ｄλｐ）变分原理．针对最小势能原理，给出了有限元列式，并把非线性约束项划归到目标函数中，构造出适合于神经网络处理的变分原理形式．证明了非线性约束处理前后的等价性，讨论了非线性项系数的确定方法．The twotypevariable (dui,dλp) variational principle (TVP) for elastoplasticity is built up and proved based on the “parametric variational principle for elastoplasticity”. The finite element formula of the minimum potential energy principle is given. In the formula,the nonlinear item of constrains is introduced into the objective function to be adapted for neurocomputation of the elastoplasticity. The equivalency of the two types of model is proived,and the determination of the coefficient of the nonlinear item is discussed.

关 键 词：弹塑性力学 变分原理 神经网络 有限元法 

分 类 号：O344[理学—固体力学]