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We prove the existence of a unique large-data global-in-time weak solution to a class of
models of the form $\mathbf {u} _ {tt}=\mathrm {div}(\mathbb {T})+\mathbf {f} $ for viscoelastic …

In this paper, a new viscoelastic constitutive model is proposed based on fractional-order
differential theory, replacing the Newtonian dashpot of the classical Kelvin-Voigt model with …

The aim of this work consist to compare the traditional viscoelastic material models vs the
fractional ones, determinate the fractional order of the differential operator that characterize …

We consider a system of evolutionary equations that is capable of describing certain
viscoelastic effects in linearized yet nonlinear models of solid mechanics. The constitutive …

On the nonsmooth analysis of doubly nonlinear evolution inclusions of first and second order
with applications Page 1 On the Nonsmooth Analysis of Doubly Nonlinear Evolution Inclusions …

This thesis is concerned with PDEs that have a strain-limiting constitutive relation,
originating in the framework of continuum mechanics and implicit constitutive the-ory. The …

We consider the well-posedness of the abstract Cauchy problem for the doubly nonlinear
evolution inclusion equation of second order given by u′′(t)+∂ Ψ (u′(t))+ B (t, u (t))∋ f …

Using the finite element method we quantitatively analyse temperature field evolution in a
viscoelastic solid undergoing a loading–unloading process. In particular we investigate the …

El propósito principal de la presente publicación consiste en la determinación adecuada del
orden fraccional en el modelo viscoelástico de Zener y el análisis de las implicaciones que …