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Methodical fitting for mathematical models of rubber-like materials
(The Royal Society Publishing, 2017-02-08)
A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an in-depth understanding of the successive stages of large extension is still lacking. We show that the response can be ...
Wrinkles and creases in the bending, unbending and eversion of soft sectors
(The Royal Society, 2018-03-23)
We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought ...
Wrinkles in the opening angle method
(Elsevier, 2017-06-10)
We investigate the stability of the deformation modeled by the opening angle method, often used to give a measure of residual stresses in arteries and other biological soft tubular structures. Specifically, we study the ...
On deforming a sector of a circular cylindrical tube into an intact tube: Existence, uniqueness, and stability
(Elsevier, 2010-11)
Within the context of finite deformation elasticity theory the problem of deforming an open sector of a thick-walled circular cylindrical tube into a complete circular cylindrical tube is analyzed. The analysis provides a ...
Initial stresses in elastic solids: Constitutive laws and acoustoelasticity
(2011)
On the basis of the nonlinear theory of elasticity, the general constitutive equation for an isotropic hyperelastic solid in the presence of initial stress is derived. This derivation involves invariants that couple the ...