Vol.3, No 11, 2001 pp. 13-20
UDC 517.93:531(045)
DERIVATION
OF GENERALIZED VARIATIONAL PRINCIPLES WITHOUT USING LAGRANGE MULTIPLIERS
PART II: APPLICATIONS
TO SOLID MECHANICS
Ji-Huan He
Shanghai University, Shanghai Institute of Applied Mathematics and
Mechanics
149 Yanchang Road, Shanghai 200072, P.R. China
Abstract. An alternative derivation
of the well-known Hu-Washizu principle, Hellinger-Reissner in elasticity
is provided. It is shown that the present approach, which is based on the
semi-inverse method proposed by He, is simple and straightforward. The
variational crisis and its removal are also discussed, it also reveals
that the semi-inverse method is one of the best approach to eliminating
the crisis.
IZVOĐENJE
UOPŠTENIH VARIJACIONIH PRINCIPA
BEZ KORIŠĆENJA
LAGRANGE-OVIH MNOŽILACA
DEO II: PRIMENA
NA MEHANIKU KRUTIH TELA
U radu je prikazano alternativno izvođenje
Hu-Washizu principa, Hellinger-Reissner princip elastičnosti je dat. Pokazano
je da je sadašnji pristup, koji je zasnovan na polu-inverznoj metodi predloženoj
od strane He-ija, jednostavan i direktan. Varijaciona kriza kao i njeno
uklanjanje se takođe razmatraju u radu, i on takođe otkriva da je polu-inverzna
metoda jedan od najboljih pristupa za eliminaciju krize.
