000013818 001__ 13818
000013818 005__ 20161115094002.0
000013818 04107 $$aeng
000013818 046__ $$k2016-08-21
000013818 100__ $$aCombescure, Christelle
000013818 24500 $$aIn-plane loading of hexagonal honeycombs: Post- bifurcation and stability behavior (INVITED)

000013818 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000013818 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000013818 506__ $$arestricted
000013818 520__ $$2eng$$aBuckling of honeycombs is an important problem. We identify three open questions: (i) How does the mechanical response depend on the applied loading device? (ii) What can the Bloch wave representation of all bounded perturbations contribute to our understanding of the stability of post-bifurcated equilibria? and (iii) How does material nonlinearity affect the critical bifurcation load? We model the honeycomb as a 2D infinite perfect periodic medium and use group theory (instead of the imperfection method) to study its bifurcation behavior under various far-field loadings. We evaluate stability using two criteria: rank-one convexity and Bloch wave stability. We find that the post-bifurcation behavior is extremely sensitive to the loading device, and confirm that the flower mode is unstable. Our (first ever) Bloch wave stability analysis of the post-bifurcated equilibria shows that the flower mode is stable for all sufficiently short wavelength perturbations, explaining its observation by Papka and Kyriakides (1999).

000013818 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013818 653__ $$a

000013818 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000013818 720__ $$aCombescure, Christelle
000013818 8560_ $$ffischerc@itam.cas.cz
000013818 8564_ $$s183108$$uhttps://invenio.itam.cas.cz/record/13818/files/FS09-1.01.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 3418, code FS09-1.01).
000013818 962__ $$r13812
000013818 980__ $$aPAPER