Geodesic
Derivation of non-classical variational principles in the theory of elasticity
Applications of Mathematics, Tome 12 (1967) no. 1, pp. 15-29.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Generalized variational principles, suggested by Hu Hai-Chang and Washizu or Hellinger and Reissner respectively, are derived on the base of complementary energy respectively. Besides, a short survey of further variational theorems, which follow from the fundamental principles, and the proof of the convergence for a method based on one of them, are presented.
DOI : 10.21136/AM.1967.103063
Classification : 73-49
Keywords: mechanics of solids 
@article{10_21136_AM_1967_103063,
     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Derivation of non-classical variational principles in the theory of elasticity},
     journal = {Applications of Mathematics},
     pages = {15--29},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {1967},
     doi = {10.21136/AM.1967.103063},
     mrnumber = {0214324},
     zbl = {0163.19201},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1967.103063/}
}
TY  - JOUR
AU  - Hlaváček, Ivan
TI  - Derivation of non-classical variational principles in the theory of elasticity
JO  - Applications of Mathematics
PY  - 1967
SP  - 15
EP  - 29
VL  - 12
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1967.103063/
DO  - 10.21136/AM.1967.103063
LA  - en
ID  - 10_21136_AM_1967_103063
ER  - 
%0 Journal Article
%A Hlaváček, Ivan
%T Derivation of non-classical variational principles in the theory of elasticity
%J Applications of Mathematics
%D 1967
%P 15-29
%V 12
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1967.103063/
%R 10.21136/AM.1967.103063
%G en
%F 10_21136_AM_1967_103063
Hlaváček, Ivan. Derivation of non-classical variational principles in the theory of elasticity. Applications of Mathematics, Tome 12 (1967) no. 1, pp. 15-29. doi : 10.21136/AM.1967.103063. http://geodesic.mathdoc.fr/articles/10.21136/AM.1967.103063/

Cité par Sources :