A Variational Model for Linearly Elastic Micropolar Plate-Like Bodies
Journal of convex analysis, Tome 15 (2008) no. 4, pp. 677-691
Voir la notice de l'article provenant de la source Heldermann Verlag
We consider a micropolar, linearly elastic plate-like body, clamped on its boundary and subject to a system of distance loads. We characterize, by means of Γ-convergence, the limit behavior of the solutions of the equilibrium problem when the thickness of the body vanishes. We show that, for the special case of isotropic mechanical response, the equilibrium problem described by our Γ-limit coincides with a boundary-value problem obtained in a recent deduction of a theory for shearable plates from micropolar elasticity.
Mots-clés :
Micropolar elasticity, plate theories, Gamma-convergence
@article{JCA_2008_15_4_JCA_2008_15_4_a1,
author = {G. Riey and G. Tomassetti},
title = {A {Variational} {Model} for {Linearly} {Elastic} {Micropolar} {Plate-Like} {Bodies}},
journal = {Journal of convex analysis},
pages = {677--691},
publisher = {mathdoc},
volume = {15},
number = {4},
year = {2008},
url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a1/}
}
TY - JOUR AU - G. Riey AU - G. Tomassetti TI - A Variational Model for Linearly Elastic Micropolar Plate-Like Bodies JO - Journal of convex analysis PY - 2008 SP - 677 EP - 691 VL - 15 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a1/ ID - JCA_2008_15_4_JCA_2008_15_4_a1 ER -
G. Riey; G. Tomassetti. A Variational Model for Linearly Elastic Micropolar Plate-Like Bodies. Journal of convex analysis, Tome 15 (2008) no. 4, pp. 677-691. http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a1/