Geodesic
Variational principles in the linear theory of elasticity for general boundary conditions
Applications of Mathematics, Tome 12 (1967) no. 6, pp. 425-448.

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

Mixed boundary-value problem of the classical theory of elasticity is considered, where not only displacements and tractions are prescribed on some parts of the boundary, but also conditions of contact and elastic supports for normal and tangential directions to the boundary surface separately. Classical variational principles are derived using functional analysis methods, especially methods of Hilbert space. Furthermore, generalized variational principles and bilateral estimates of errors are suggested.
DOI : 10.21136/AM.1967.103124
Classification : 73-49
Keywords: mechanics of solids 
@article{10_21136_AM_1967_103124,
     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Variational principles in the linear theory of elasticity for general boundary conditions},
     journal = {Applications of Mathematics},
     pages = {425--448},
     publisher = {mathdoc},
     volume = {12},
     number = {6},
     year = {1967},
     doi = {10.21136/AM.1967.103124},
     mrnumber = {0231575},
     zbl = {0153.55401},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1967.103124/}
}
TY  - JOUR
AU  - Hlaváček, Ivan
TI  - Variational principles in the linear theory of elasticity for general boundary conditions
JO  - Applications of Mathematics
PY  - 1967
SP  - 425
EP  - 448
VL  - 12
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1967.103124/
DO  - 10.21136/AM.1967.103124
LA  - en
ID  - 10_21136_AM_1967_103124
ER  - 
%0 Journal Article
%A Hlaváček, Ivan
%T Variational principles in the linear theory of elasticity for general boundary conditions
%J Applications of Mathematics
%D 1967
%P 425-448
%V 12
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1967.103124/
%R 10.21136/AM.1967.103124
%G en
%F 10_21136_AM_1967_103124
Hlaváček, Ivan. Variational principles in the linear theory of elasticity for general boundary conditions. Applications of Mathematics, Tome 12 (1967) no. 6, pp. 425-448. doi : 10.21136/AM.1967.103124. http://geodesic.mathdoc.fr/articles/10.21136/AM.1967.103124/

Cité par Sources :