Tape spring rod model as a regularised Ericksen’s bar involving propagating instabilities

Abstract eng:
This paper focuses on a tape spring rod model with an up-down-up elastic bending constitutive equation that explains the creation of localised folds which involve propagating instabilities. A simplified version of a recently published planar rod model with flexible crosssection is presented and analysed as a regularised Ericksen’s bar problem. This simplified model allows to estimate the characteristic length of the transition zones that govern numerical simulations.

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