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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 …
Viscoelastic materials are some of them. We come across many such materials in our daily …
Thermoviscoelasticity in Kelvin–Voigt rheology at large strains
The frame-indifferent thermodynamically-consistent model of thermoviscoelasticity at large
strain is formulated in the reference configuration by using the concept of the second-grade …
strain is formulated in the reference configuration by using the concept of the second-grade …
Nonlinear and linearized models in thermoviscoelasticity
We consider a quasistatic nonlinear model in thermoviscoelasticity at a finite-strain setting in
the Kelvin–Voigt rheology, where both the elastic and viscous stress tensors comply with the …
the Kelvin–Voigt rheology, where both the elastic and viscous stress tensors comply with the …
A variational approach to frame-indifferent quasistatic viscoelasticity of rate type
Y Şengül - Philosophical Transactions A, 2024 - royalsocietypublishing.org
The three-dimensional dynamical model for nonlinear viscoelasticity of strain-rate type is
investigated in a quasistatic setting under the assumption of higher-order regularity of the …
investigated in a quasistatic setting under the assumption of higher-order regularity of the …
Positive temperature in nonlinear thermoviscoelasticity and the derivation of linearized models
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 …
absolute zero temperature is not attainable. Starting with an initial positive temperature, we …
Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture
We characterize the passage from nonlinear to linearized Griffith-fracture theories under non-
interpenetration constraints. In particular, sequences of deformations satisfying a Ciarlet …
interpenetration constraints. In particular, sequences of deformations satisfying a Ciarlet …
Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity
We apply a quasistatic nonlinear model for nonsimple viscoelastic materials at a finite-strain
setting in Kelvin's-Voigt's rheology to derive a viscoelastic plate model of von Kármán type …
setting in Kelvin's-Voigt's rheology to derive a viscoelastic plate model of von Kármán type …
Thermo-elastodynamics of nonlinearly viscous solids
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 …
Voigt rheology where both the elastic and the viscous stress tensors comply with the frame …
Nonlinear relations of viscous stress and strain rate in nonlinear Viscoelasticity
L Machill - Journal of Elasticity, 2025 - Springer
Abstract 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 …
the elastic and the viscous stress tensor both satisfy frame-indifference. Using a rigidity …
Derivation of a von K\'arm\'an plate theory for thermoviscoelastic solids
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 …
model for nonsimple thermoviscoelastic materials in the Kelvin-Voigt rheology, in which the …