000015152 001__ 15152
000015152 005__ 20161115100213.0
000015152 04107 $$aeng
000015152 046__ $$k2016-08-21
000015152 100__ $$aLiu, Liping
000015152 24500 $$aGeometrically nonlinear theories for curved beams and shells

000015152 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015152 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015152 506__ $$arestricted
000015152 520__ $$2eng$$aWe outline a variational procedure to derive geometrically nonlinear theories for lower dimensional elastic bodies. We emphasize a geometric viewpoint and employ general curvilinear coordinates for describing the reference (or undeformed) and current (or deformed) configurations. It is observed that the local elastic strain (or change of length of an infinitesimal segment) is precisely characterized by the metric tensors of two configurations induced by the ambient 3D Euclidean space. Upon assuming small elastic strains and linear stressstrain laws, we immediately obtain the strain energy associated with deformations. The equilibrium configuration can then be found as the energy-minimizing state of the total free energy. This framework recovers a number of classic simplified theories for beams and shells if appropriate kinematic assumptions are made.

000015152 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015152 653__ $$a

000015152 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015152 720__ $$aLiu, Liping
000015152 8560_ $$ffischerc@itam.cas.cz
000015152 8564_ $$s88715$$uhttps://invenio.itam.cas.cz/record/15152/files/TS.SM04-1.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1896, code TS.SM04-1.05
.
000015152 962__ $$r13812
000015152 980__ $$aPAPER