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13 papers · 1 filter
Matched asymptotic expansions for twisted elastic knots: a self-contact problem with non- trivial contact topology
N. Clauvelin, B. Audoly, S. Neukirch
We derive solutions of the Kirchhoff equations for a knot tied on an infinitely long elastic rod subjected to combined tension and twist. We consider the case of simple (trefoil) a…
Small amplitude waves and stability for a pre-stressed viscoelastic solid
Michel Destrade, Ray W. Ogden, Giuseppe Saccomandi
We study the propagation of small amplitude waves superimposed on a large static deformation in a nonlinear viscoelastic material of differential type. We use bulk waves and surfac…
Nonlinear Euler buckling
Alain Goriely, Rebecca Vandiver, Michel Destrade
The buckling of hyperelastic incompressible cylindrical tubes of arbitrary length and thickness under compressive axial load is considered within the framework of nonlinear elastic…
Modelling the human pharyngeal airway: validation of numerical simulations using in vitro experiments
Franz Chouly, Annemie Van Hirtum, Pierre-Yves Lagrée +2
In the presented study, a numerical model which predicts the flow-induced collapse within the pharyngeal airway is validated using in vitro measurements. Theoretical simplification…
Large-amplitude Love waves
Elizabete Rodrigues Ferreira, Philippe Boulanger, Michel Destrade
In the context of the finite elasticity theory, we consider a model for compressible solids called 'compressible neo-Hookean material'. We show how finite-amplitude inhomogeneous p…
Asymptotic results for bifurcations in pure bending of rubber blocks
Ciprian Coman, Michel Destrade
The bifurcation of an incompressible neo-Hookean thick block with a ratio of thickness to length {eta}, subject to pure bending, is considered. The two incremental equilibrium equa…