000014299 001__ 14299
000014299 005__ 20161115100147.0
000014299 04107 $$aeng
000014299 046__ $$k2016-08-21
000014299 100__ $$aSolyaev, Yury
000014299 24500 $$aSurface effects in the pure bending problem in the theory of elastic materials with voids

000014299 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014299 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014299 506__ $$arestricted
000014299 520__ $$2eng$$ag We consider the pure bending problem in the theory of linear elastic materials with voids using modified type of boundary conditions. First, it is shown that Inicro—dilatation theory is a special case of the general theory of media with conserved dislocations. Variational statement of the last one provides a specific and more common type of boundary conditions due to presence of surface stresses. It is known that pure bending solution in the Inicro—dilatation theory contains the nonzero values of transverse normal stresses in the beam, which do not appear in the classical linear elasticity. We prove that it could be found the solutions without transversal stresses, due to special values of surface parameters in the considered model. Additionally it is shown the possibility of the effective elastic properties introduction in the problem of pure bending, which depends on the thickness of a beam and surface parameter.

000014299 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014299 653__ $$a

000014299 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014299 720__ $$aSolyaev, Yury
000014299 8560_ $$ffischerc@itam.cas.cz
000014299 8564_ $$s153921$$uhttps://invenio.itam.cas.cz/record/14299/files/PO.SM10-1.12.302.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2554, code PO.SM10-1.12.302
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000014299 962__ $$r13812
000014299 980__ $$aPAPER