000015463 001__ 15463
000015463 005__ 20161115100222.0
000015463 04107 $$aeng
000015463 046__ $$k2016-08-21
000015463 100__ $$aWen, Guangyang
000015463 24500 $$aDynamic Stability of Biaxially Strained Thin Sheets Under High Strain-Rates

000015463 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015463 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015463 506__ $$arestricted
000015463 520__ $$2eng$$aThis work pertains to the stability of structures under rapid loading rates when inertia is taken into account. In contrast to the \Wyused approach using modal analysis to determine the structure’s fastest growing eigenmode — meaningful only for slow loading rates — the present study analyzes the time-dependent response to spatially localized perturbations in structures, in order to understand the initiation of the corresponding failure mechanisms. This approach is followed here to study the stability of rapid biaxial stretching of thin plates. The nonlinear time evolution of a such a perturbation is studied numerically and it is shown that these structures are stable until the time when the condition for the loss of ellipticity is reached. An analytical method, based on linearization, is used to define the size of the influence zone of a point-wise perturbation and we study its dependence on constitutive laws and loading conditions.

000015463 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015463 653__ $$a

000015463 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015463 720__ $$aWen, Guangyang
000015463 8560_ $$ffischerc@itam.cas.cz
000015463 8564_ $$s195617$$uhttps://invenio.itam.cas.cz/record/15463/files/TS.SM14-4.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2806, code TS.SM14-4.04
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000015463 962__ $$r13812
000015463 980__ $$aPAPER