Elastic machines: A non standard use of the axial shear of linear transversely isotropic elastic cylinders

Grine, Fahmi; Saccomandi, Giuseppe; Arfaoui, Makrem

doi:10.1016/j.ijsolstr.2019.08.025

Cited by 5 publications

(2 citation statements)

References 23 publications

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“…These solutions are interesting because they show in a simple direct way that, when M 2 ≠ 0 despite the fact that we are applying a shear stress only along X 1 , we shear the material with respect to both directions in the X 1 - X 2 plane. The fact that in anisotropic materials, the load diffuses in any possible direction via the fibers arrangement has been already discussed in Coco and Saccomand [17] and Grine et al [18].…”

Section: Simple Shearmentioning

confidence: 98%

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On the Kelvin–Voigt model in anisotropic viscoelasticity

Coco

Saccomandi

2023

Mathematics and Mechanics of Solids

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We propose an anisotropic and nonlinear generalization of the Kelvin–Voigt viscoelastic model obtained considering the additive splitting of the Cauchy stress tensor in an elastic and a dissipative part. The former one corresponds to a fiber-reinforced hyperelastic material while the dissipative effect is described by the most general linear transverse-isotropic tensorial function of symmetric part of the velocity gradient. In a such a way we characterize the dissipative contribution via three viscoelastic moduli. We then show, by a detailed analysis of the simple shear quasistatic motion and the corresponding creep phenomena, that this motion may be used to determine experimentally the viscoelastic parameters.

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Section: Simple Shearmentioning

confidence: 98%

“…The solutions (18) and ( 20) and the general solution of the systems ( 16) and (17) show that by considering appropriate angles between the direction of the fiber and the shear strain, we have sufficient information to determine experimentally the various viscosity coefficients.…”

Section: Linear Anisotropic Casementioning

confidence: 99%