000014342 001__ 14342
000014342 005__ 20161115100148.0
000014342 04107 $$aeng
000014342 046__ $$k2016-08-21
000014342 100__ $$aLiu, Yang
000014342 24500 $$aPost-buckling analysis of a hyperelastic layer-substrate structure under compression

000014342 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014342 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014342 506__ $$arestricted
000014342 520__ $$2eng$$aThe compression of a hyperelastic layer-substrate structure is considered in our paper. We consider the whole structure is relatively thin so that it will buckle when the external loads reach certain critical value. Considering the effect of Young’s modulus between layer and substrate, the asymptotic model equations are obtained by use of the combined series-asymptotic expansion method. Both the linear and weak non-linear analysis are carried out in this paper. The good agreements of critical stretch from our model and the exact one shows the validity of our model. Then, we unitizing the solvability condition technique to obtain the analytic solutions of two cases, i.e., the ratio of Young’s modulus between layer and substrate is of O(1) or large. Corresponding numerical solutions verified that our approach can obtain quite good results and from the analytic formulas of strains, deflections, one can easily see how the parameters affect the quantities.

000014342 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014342 653__ $$a

000014342 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014342 720__ $$aLiu, Yang
000014342 8560_ $$ffischerc@itam.cas.cz
000014342 8564_ $$s72254$$uhttps://invenio.itam.cas.cz/record/14342/files/PO.SM14-1.10.314.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2829, code PO.SM14-1.10.314
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000014342 962__ $$r13812
000014342 980__ $$aPAPER