000014393 001__ 14393
000014393 005__ 20161115100150.0
000014393 04107 $$aeng
000014393 046__ $$k2016-08-21
000014393 100__ $$aAudoly, Basile
000014393 24500 $$aThe non-linear mechanics of slender deformable bodies

000014393 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014393 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014393 506__ $$arestricted
000014393 520__ $$2eng$$aWe discuss some challenges arising in the mechanics of slender (quasi-1D) deformable bodies, such as a thin thread of polymer, curly hair, or a carpenter’s tape for example. Slender bodies can exhibit a number complex and intriguing behaviors that are accessible through simple experiments. The analysis of slender bodies exposes one to many of the fundamental concepts of 3D non-linear mechanics, albeit in a simpler setting where explicit analytical solutions and fast numerical methods can be proposed. Based on examples, we review some problems arising in the analysis of deformable bodies, including the derivation of accurate lD mechanical models by dimensional reduction, the solution of non-linear 1D models by analytical or numerical methods, and the analysis of material or geometrical instabilities.

000014393 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014393 653__ $$a

000014393 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014393 720__ $$aAudoly, Basile
000014393 8560_ $$ffischerc@itam.cas.cz
000014393 8564_ $$s107038$$uhttps://invenio.itam.cas.cz/record/14393/files/SL.SM-1.pdf$$yOriginal version of the author's contribution as presented on CD,  page 21, code SL.SM-1
.
000014393 962__ $$r13812
000014393 980__ $$aPAPER