TY - JOUR
T1 - Une nouvelle approche de la théorie linéaire des coques et une nouvelle démonstration de l'inégalité de Korn sur une surface
AU - Ciarlet, Philippe G.
AU - Gratie, Liliana
PY - 2005/3/15
Y1 - 2005/3/15
N2 - We propose a new approach to the quadratic minimization problems arising in Koiter's linear shell theory. The novelty consists in considering the linearized change of metric and change of curvature tensors as the new unknowns, instead of the displacement vector field as is customary. This approach also provides a new proof of Korn's inequality on a surface. © 2005 Académie des sciences. Published by Elsevier SAS. All rights reserved.
AB - We propose a new approach to the quadratic minimization problems arising in Koiter's linear shell theory. The novelty consists in considering the linearized change of metric and change of curvature tensors as the new unknowns, instead of the displacement vector field as is customary. This approach also provides a new proof of Korn's inequality on a surface. © 2005 Académie des sciences. Published by Elsevier SAS. All rights reserved.
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U2 - 10.1016/j.crma.2005.01.021
DO - 10.1016/j.crma.2005.01.021
M3 - RGC 21 - Publication in refereed journal
SN - 1631-073X
VL - 340
SP - 471
EP - 478
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 6
ER -