000015372 001__ 15372
000015372 005__ 20161115100219.0
000015372 04107 $$aeng
000015372 046__ $$k2016-08-21
000015372 100__ $$aKordolemis, Alexis
000015372 24500 $$aAxially loaded pretwisted nonlinear thin plates: A strain gradient analogy

000015372 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015372 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015372 506__ $$arestricted
000015372 520__ $$2eng$$aIn the present work a pre-twisted thin plate subjected to axial loading is analysed. The analysis is conducted within the framework of linear elasticity assuming that the plate undergoes large deformations associated with small strains, i.e. the generalised Hookes law is utilised. The problem is attacked under different conceptual perspectives. First, a classical structural theory is employed where the effect of warping of the non-circular cross section of the plate is introduced. Adopting an energy variational statement the governing partial differential equation is explicitly derived. Secondly, the problem is formulated in terms of second gradient elasticity theory involving only one material length parameter , in addition to the two classical Lame constants. It is shown, by the analogy, that the material length parameter can be expressed on physical ground through the geometrical aspects of the plate and the loading providing a thorough insight of the role of micro-structure.

000015372 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015372 653__ $$a

000015372 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015372 720__ $$aKordolemis, Alexis
000015372 8560_ $$ffischerc@itam.cas.cz
000015372 8564_ $$s35261$$uhttps://invenio.itam.cas.cz/record/15372/files/TS.SM10-6.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2528, code TS.SM10-6.05
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000015372 962__ $$r13812
000015372 980__ $$aPAPER