A MIXED SYSTEM OF EQUATIONS OF ELASTICITY

被引：4

作者：

Shul'ga, M. O. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, 3 Nesterov St, UA-03057 Kiev, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2010年 / 46卷 / 03期

关键词：

mixed system of equations of elasticity; Hamiltonian (canonical) operator system; Hellinger-Reissner principle; variational principle with an operator integrand; Euler equations;

D O I：

10.1007/s10778-010-0306-4

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A mixed system of six equations of elasticity is represented as a Hamiltonian (canonical) operator system in one of the spatial coordinates. It is shown that this system is the Euler equations for the Hellinger-Reissner principle with an appropriately modified integrand. One more functional with an operator integrand from which the canonical operator system can be derived is set up

引用

页码：264 / 268

页数：5

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