@article{M2AN_1990__24_5_651_0, author = {Trabucho, L. and Via\~no, J. M.}, title = {A new approach of {Timoshenko's} beam theory by asymptotic expansion method}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {651--680}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {24}, number = {5}, year = {1990}, mrnumber = {1076964}, zbl = {0777.73028}, language = {en}, url = {http://archive.numdam.org/item/M2AN_1990__24_5_651_0/} }
TY - JOUR AU - Trabucho, L. AU - Viaño, J. M. TI - A new approach of Timoshenko's beam theory by asymptotic expansion method JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1990 SP - 651 EP - 680 VL - 24 IS - 5 PB - AFCET - Gauthier-Villars PP - Paris UR - http://archive.numdam.org/item/M2AN_1990__24_5_651_0/ LA - en ID - M2AN_1990__24_5_651_0 ER -
%0 Journal Article %A Trabucho, L. %A Viaño, J. M. %T A new approach of Timoshenko's beam theory by asymptotic expansion method %J ESAIM: Modélisation mathématique et analyse numérique %D 1990 %P 651-680 %V 24 %N 5 %I AFCET - Gauthier-Villars %C Paris %U http://archive.numdam.org/item/M2AN_1990__24_5_651_0/ %G en %F M2AN_1990__24_5_651_0
Trabucho, L.; Viaño, J. M. A new approach of Timoshenko's beam theory by asymptotic expansion method. ESAIM: Modélisation mathématique et analyse numérique, Tome 24 (1990) no. 5, pp. 651-680. http://archive.numdam.org/item/M2AN_1990__24_5_651_0/
[1] A justification of the one-dimensional model of elastic beam. Math. Methods in Applied Sci., 8, 1986, pp. 1-14. | MR | Zbl
, ,[2] Une justification des équations de la thermoélasticite des poutres à section variable par des méthodes asymptotiques, RAIRO, Analyse Numérique, 18, 1984, pp. 347-376. | Numdam | MR | Zbl
, ,[3] On the existence uniqueness and approximation of saddle point problems arising from Lagrange multipliers. RAIRO, Analyse Numérique, Sér Rouge, 2, 1974, pp. 129-151. | Numdam | MR | Zbl
,[4] The effect of a thin inclusion of high rigidity in a elastic body, Math. Methods in Applied Sci., 2, 1980, pp 251-270. | MR | Zbl
,[5] A justification of the von Karman equations. Arch. Rat. Mcch. Anal., 73, 1980, pp 349-389 | MR | Zbl
,[6] Recent progress in the two-dimensional approximation of three-dimensional plate models in nonlinear elasticity» In Numerical Approximation of Partial Differential Equations E. L. Ortiz, Editor, North-Holland, Amsterdam, 1987, pp 3-19. | MR | Zbl
, «[7] A justification of the two dimensional linear plate model. J. Mécanique, 18, 1979, pp 315-344. | MR | Zbl
, ,[8] A justification of a nonlinear model in place theory. Comp. Methods Appl. Mech. Engrg. 17/18, 1979, pp. 227-258. | MR | Zbl
, ,[9] Une dérivation d'un modèle non lineaire de poutres à partir de l'élasticite tridimensionelle. C. R. A. S., tome 302, Sér. I, n° 19, 1986, pp. 697-700. | MR | Zbl
, , , , ,[10] Sur une justification des modèles de plaques et de coques par les méthodes asymptotiques. Thèse, Univ. P. et M. Curie, Paris, 1980.
,[11] Une théorie asymptotique de plaque minces en élasticité lineaire. Masson, Paris, 1986. | MR | Zbl
,[12] Inequalities in Mechanics and Physics. Springer-Verlag, Berlin, 1976. | MR | Zbl
, ,[13] Solid Mechanics, A variational approch. McGraw-Hill, New York, 1973.
, ,[14] A course in elasticity Applied Mathematical Sciences, Vol. 29, Springer-Verlag, Berlin, 1979. | MR | Zbl
,[15] Foundations of Solid Mechanics Prentice-Hall, Englewood Cliffs, N. J., 1965.
,[16] Mathematical Theory of Elastic and Elasto-Plastic Bodies; An Introduction Elsevier, New York, 1981. | MR | Zbl
, ,[17] Perturbations singulières dans les problèmes aux limites et en contrôle optimal Lect. Notes in Math., 323, Springer-Verlag, Berlin, 1973. | MR | Zbl
,[18] Influence of rotary inertia and shear on flexural motions of isotropic elastic plates. J. Appl. Mech., 18, 1951, pp. 31 38. | Zbl
,[19] Construction d'un modèle d'évolution de plaques avec terme d'inertie de rotation. Annali di Mathematica Pura ad Applicata, 139, 1985, pp. 361-400. | MR | Zbl
,[20] Sur une théorie asymptotique des poutres. Thèse, Univ. P. et M. Curie, Paris, 1976.
,[21] Sur une théorie asymtotique des poutres. J. Mécanique, 11, 1972, pp. 673-703. | MR | Zbl
,[22] Sur la déformation due à l'effort tranchant dans les poutres droites élastiques. Ann. Inst. Techn. Bât. Trav. Publ., n° 363, 1978, pp 34-52.
,[23] On the correction for shear of the differential equation for transverse vibration of prismatic bars. Phil Mag, Ser 6, 41, 1921, pp 744-746.
,[24] Derivation of generalized models for linear elastic beams by asymptotic expansion methods » In Applications of Multiple Scaling to Mechanics (P. G. Ciarlet and E. Sanchez-Palencia, Editors), Masson, Paris, 1987, pp 302-315. | MR | Zbl
, , «[25] Dérivation de modèles généralisés de poutres en élasticité par méthode asymptotique. C. R. Acad. Sc. Paris, tome 304, Ser I, n° 11, 1987. | MR | Zbl
, ,[26] Existence and characterization of higher order terms in an asymptotic expansion method for linearized elastic beams. J. Asymptotic Analysis, 2, 1989, pp. 223-255. | MR | Zbl
, ,[27] A dérivation of generalized Saint Venat's torsion theory from three dimensional elasticity by asymptotic expansion methods. J. Applicable Analysis, 31, 1988, pp 129-148. | MR | Zbl
, ,[28] A justification of Vlasov s bending-torsion theory in elastic beams (to appear).
, ,[29] Critical cross sections in Timoshenko's beam theory (to appear).
, ,[30] Contribution à l'étude des modèles bidimensionels en thermoélasticité de plaques d'épaisseur non constante. Thèse, Univ. P. et M. Curie, Paris, 1983.
,[31] Generalizacion y justificacion de modelos unilaterales en vigas elàsticas sobre fundacion » In. Actas del VIII C. E. D. Y. A., Santander, España, 1985.
, «