Vol.2, No 8, 1998 pp. 703 - 708
UDC: 531:534
CONSERVATION LAW OF J INTEGRAL TYPE FOR
MULTYLAYERED SHELLS
Mirko Vukobrat1, Aleksandar Sedmak2
1 Faculty of Transport and Traffice Engineering. University
of Belgrade, Vojvode Stepe 305, 11000 Beograd, Yugoslavia
2 Faculty of Mechanical Engineering, University of Belgrade,
27. Marta 80, 11000 Beograd, Yugoslavia
Abstract. The balance laws for multilayered shells is analysed.
Using the Euclidean group of transformation, the equivalence between
the balance laws and the Euclidean invariance is demonstrated. An example
is considered and extension of one of these balance laws is carried
out for simple problems of plates theory.
ZAKONI ODRŽANJA TIPA J-INTEGRALA ZA VIŠESLOJNE
LJUSKE
Koristeći osobinu invarijantnosti varijacionog principa u odnosu na grupu
infinitezimalnih transformacija za vektorska polja, u ovom radu je uveden
odgovarajući oblik teoreme Emi Neter. Potom se na primeru višeslojne ljuske
sa zadatim ograničenjima koristi Euklidova grupa transformacija i njoj
pridružuju odgovarajući zakoni konzeravcije. Na kraju se analiziraju dobijeni
rezultati.
