Zobrazeno 1 - 10
of 207
pro vyhledávání: '"74D10"'
Autor:
Machill, Lennart
We consider a Kelvin-Voigt model for viscoelastic second-grade materials, where the elastic and the viscous stress tensor both satisfy frame indifference. Using a rigidity estimate by [Ciarlet-Mardare '15], existence of weak solutions is shown by mea
Externí odkaz:
http://arxiv.org/abs/2409.11882
In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the frame-indifference principle. The system features a force balance inclu
Externí odkaz:
http://arxiv.org/abs/2409.01229
According to the Nernst theorem or, equivalently, the third law of thermodynamics, the absolute zero temperature is not attainable. Starting with an initial positive temperature, we show that there exist solutions to a Kelvin-Voigt model for quasi-st
Externí odkaz:
http://arxiv.org/abs/2407.02035
Autor:
Magri, M., Riccobelli, D.
Publikováno v:
SIAM J. Appl. Math. 84(6), 2342-2364, 2024
This study addresses the modelling of elastic bodies, particularly when the relaxed configuration is unknown or non-existent. We adopt the theory of initially stressed materials, incorporating the deformation gradient and stress state of the referenc
Externí odkaz:
http://arxiv.org/abs/2403.08432
Recently, a non-linear model of viscoelasticity based on Rational Extended Thermodynamics was proposed in [arXiv:2312.05116]. This theory extends the evolution of the viscous stress beyond the linear framework of the Maxwell model to the non-linear r
Externí odkaz:
http://arxiv.org/abs/2402.04969
We derive a von K\'arm\'an plate theory from a three-dimensional quasistatic nonlinear model for nonsimple thermoviscoelastic materials in the Kelvin-Voigt rheology, in which the elastic and the viscous stress tensor comply with a frame indifference
Externí odkaz:
http://arxiv.org/abs/2312.07196
Autor:
Berjamin, Harold, Gower, Artur L.
Mechanical stress within biological tissue can indicate an anomaly, or can be vital of its function, such as stresses in arteries. Measuring these stresses in tissue is challenging due to the complex, and often unknown, nature of the material propert
Externí odkaz:
http://arxiv.org/abs/2311.00414
In this paper we consider a dynamic model of fracture for viscoelastic materials, in which the constitutive relation, involving the Cauchy stress and the strain tensors, is given in an implicit nonlinear form. We prove the existence of a solution to
Externí odkaz:
http://arxiv.org/abs/2310.14250
Autor:
Berjamin, Harold
The formation of shear shock waves in the brain has been proposed as one of the plausible explanations for deep intracranial injuries. In fact, such singular solutions emerge naturally in soft viscoelastic tissues under dynamic loading conditions. To
Externí odkaz:
http://arxiv.org/abs/2310.04355
We consider shear wave propagation in soft viscoelastic solids of rate type. Based on objective stress rates, the constitutive model accounts for finite strain, incompressibility, as well as stress- and strain-rate viscoelasticity. The theory general
Externí odkaz:
http://arxiv.org/abs/2306.00719