Nonlinear viscoelasticity of strain rate type: an overview

Y Şengül - Proceedings of the Royal Society A, 2021 - royalsocietypublishing.org
There are some materials in nature that experience deformations that are not elastic.
Viscoelastic materials are some of them. We come across many such materials in our daily …

[图书][B] Global well-posedness of nonlinear parabolic-hyperbolic coupled systems

Y Qin, L Huang - 2012 - books.google.com
This book presents recent results on nonlinear parabolic-hyperbolic coupled systems such
as the compressible Navier-Stokes equations, and liquid crystal system. It summarizes …

``Entropic” solutions to a thermodynamically consistent PDE system for phase transitions and damage

E Rocca, R Rossi - SIAM Journal on Mathematical Analysis, 2015 - SIAM
In this paper we analyze a PDE system modeling (nonisothermal) phase transitions and
damage phenomena in thermoviscoelastic materials. The model is thermodynamically …

Thermo-visco-elasticity at small strains with 𝐿¹-data

T Roubíček - Quarterly of applied mathematics, 2009 - ams.org
Existence of a very weak solution to the $ d $-dimensional thermo-visco-elasticity system for
Kelvin-Voigt-type material at small strains involving (possibly nonlinear) monotone viscosity …

The Souza-Auricchio model for shape-memory alloys

D Grandi, U Stefanelli - DISCRETE AND CONTINUOUS …, 2015 - sfera.unife.it
Shape-memory alloys are active materials, their amazing thermo-electromechanical
behavior is at the basis of a variety of innovative applications. Many models have been set …

Global regular solutions to a Kelvin--Voigt type thermoviscoelastic system

I Pawłow, WM Zajaczkowski - SIAM Journal on Mathematical Analysis, 2013 - SIAM
A classical three-dimensional thermoviscoelastic system of Kelvin--Voigt type is considered.
The existence and uniqueness of a global regular solution is proved without small data …

A temperature-dependent phase-field model for phase separation and damage

C Heinemann, C Kraus, E Rocca, R Rossi - Archive for Rational …, 2017 - Springer
In this paper we study a model for phase separation and damage in thermoviscoelastic
materials. The main novelty of the paper consists in the fact that, in contrast with previous …

Magnetic shape-memory alloys: thermomechanical modelling and analysis

T Roubíček, U Stefanelli - Continuum Mechanics and Thermodynamics, 2014 - Springer
A phenomenological model for the coupled thermo-electro-magneto-mechanical and phase-
transformation behaviour of magnetic shape-memory alloys is advanced in small strains and …

[图书][B] Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations

Y Qin, X Liu, T Wang - 2015 - books.google.com
This book presents recent results on nonlinear evolutionary fluid equations such as the
compressible (radiative) magnetohydrodynamics (MHD) equations, compressible viscous …

Thermodynamics of shape-memory alloys under electric current

T Roubíček, G Tomassetti - Zeitschrift für angewandte Mathematik und …, 2010 - Springer
Phase transformation in shape-memory alloys is known to cause electric resistivity variation
that, under electric current, may conversely influence Joule heat production and thus …