@article{M2AN_1992__26_3_425_0, author = {Miara, B. and Trabucho, L.}, title = {A {Galerkin} spectral approximation in linearized beam theory}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {425--446}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {26}, number = {3}, year = {1992}, mrnumber = {1160134}, zbl = {0754.73095}, language = {en}, url = {http://www.numdam.org/item/M2AN_1992__26_3_425_0/} }
TY - JOUR AU - Miara, B. AU - Trabucho, L. TI - A Galerkin spectral approximation in linearized beam theory JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1992 SP - 425 EP - 446 VL - 26 IS - 3 PB - AFCET - Gauthier-Villars PP - Paris UR - http://www.numdam.org/item/M2AN_1992__26_3_425_0/ LA - en ID - M2AN_1992__26_3_425_0 ER -
%0 Journal Article %A Miara, B. %A Trabucho, L. %T A Galerkin spectral approximation in linearized beam theory %J ESAIM: Modélisation mathématique et analyse numérique %D 1992 %P 425-446 %V 26 %N 3 %I AFCET - Gauthier-Villars %C Paris %U http://www.numdam.org/item/M2AN_1992__26_3_425_0/ %G en %F M2AN_1992__26_3_425_0
Miara, B.; Trabucho, L. A Galerkin spectral approximation in linearized beam theory. ESAIM: Modélisation mathématique et analyse numérique, Tome 26 (1992) no. 3, pp. 425-446. http://www.numdam.org/item/M2AN_1992__26_3_425_0/
A justification of the one dimensional model of elastic beam Math. Methods Appl. Sci., 8, pp. 1-14. | MR | Zbl
, [ 1987],Une justification des équations de la thermoélasticité des poutres à section variable. RAIRO Model. Math. Anal. Numér., 18, pp. 347-376. | Numdam | MR | Zbl
, [ 1984],Mathematical Elasticity, Vol I : Three-Dimensional Elasticity, North-Holland, Amsterdam. | MR | Zbl
[ 1988],A justification of the two-dimensional linear plate model J. de Mécanique, 18, pp. 315-344. | MR | Zbl
, [ 1979a],A justification of a nonlinear model in plate theory Comput. Methods Appl. Mech. Engrg., 17/18, pp. 227-258. | Zbl
, [ 1979b],Homogenization and Galerkin approximation in beam theories (to appear). | MR | Zbl
, [ 1990],Optimal spectral approximation in linearized plate theory Appl. Anal., 31, pp. 291-307. | MR | Zbl
[ 1989],Les Méthodes Directes en Théorie des Equations Elliptiques. Masson, Paris.
[ 1989],Derivation of generalized models for linear elastic beams by asymptotic expansion methods In Applications of Multiple Scalings in Mechanics (P. G. Ciarlet and E. Sanchez-Palencia, Ed.), Masson, 302-315. | MR | Zbl
, [ 1987],A derivation of generalized Saint Venant's torsion theory from three-dimensional elasticity by asymptotic expansion methods Appl. Anal. 13, 129-148. | MR | Zbl
, [ 1988a],A new approach of Timoshenko's beam theory by asymptotic expansion methods RAIRO Modél Math Anal. Num (to appear). | Numdam | MR | Zbl
, [ 1988b],Existence and characterization of higher order terms in an asymptotic expansion method for linearized elastic beams Asymptotic Anal. 2, 223-255. | MR | Zbl
, [ 1989],On a dimensional reduction method I The optimal selection of basis functions Math. Comp., 37, 31-46. | MR | Zbl
, [ 1981],