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
收藏
页码：264 / 268
页数：5
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