Vol.2, No 9, 1999 pp. 857-863
UDC: 539.3:517.951
A UNIFIED GENERALIZED VARIATIONAL PRINCIPLE
OF ELASTICITY
Ji-Huan He
Shanghai University, Shanghai Institute of Applied Mathematics and
Mechanics, Shanghai 200072, China
E-mail: glliu@yc.shu.edu.cn
Abstract. In the paper, by the semi-inverse
method of establishing generalized variational principles proposed by He,
a unified generalized variational principle with free parameters has been
established. By specially choosing the parameters, the well-known Hu-Washizu
principle, Hellinger-Reissner principle and Chien principle can be readily
obtained.
Keywords: variational technique, Hellinger-Reissner principle,
Hu-Washizu principle, semi-inverse method, trial-functional
UNIFICIRANI
GENERALISANI VARIJACIONI PRINCIP ELASTIČNOSTI
U ovom radu poluinverznom metodom uspostavljanja
generalisanih varijacionih principa koje je predložio He uspostavljen je
unificirani generalizovani princip sa slobodnim parametrima. Posebnim biranjem
parametara dobro poznati Hu-Washizu princip, Hellinger-Reissner princip
i Chien princip mogu da budu lako dobijeni.
Ključne reči: Varijaciona
tehnika, Hellinger-Reissner princip, Hu-Washizu princip, poluobratna metoda,
probni funkcional.
