[HTML][HTML] Constitutive modeling of the mechanical response of arterial tissues

M Myneni, KR Rajagopal - Applications in Engineering Science, 2022 - Elsevier
Despite the tremendous impact that a good constitutive relation for the response of arterial
tissues can have with regard to advances in cardiovascular science and medicine, and …

[图书][B] Mechanics and mathematics of fluids of the differential type

D Cioranescu, V Girault, KR Rajagopal - 2016 - Springer
Many real fluids exhibit response characteristics that cannot be satisfactorily described by
the classical Navier–Stokes fluid model and such fluids are referred to as non-Newtonian …

[PDF][PDF] Derivation of equations for continuum mechanics and thermodynamics of fluids

J Málek, V Pruša - … of mathematical analysis in mechanics of …, 2016 - karlin.mff.cuni.cz
The chapter starts with overview of the derivation of the balance equations for mass,
momentum, angular momentum and total energy, which is followed by a detailed discussion …

Residual stress and material symmetry

KR Rajagopal, A Wineman - International Journal of Engineering Science, 2024 - Elsevier
There seems to be a basic misconception in several recent papers concerning the material
symmetry of bodies in configurations that are pre-stressed. In this short paper we point to the …

Strain rate tensors and constitutive equations of inelastic micropolar materials

H Altenbach, VA Eremeyev - International Journal of Plasticity, 2014 - Elsevier
Nonlinear micropolar continuum model allows to describe complex micro-structured media,
for example, polycrystals, foams, cellular solids, lattices, masonries, particle assemblies …

A new development and interpretation of the Navier–Stokes fluid which reveals why the “Stokes assumption” is inapt

KR Rajagopal - International Journal of Non-Linear Mechanics, 2013 - Elsevier
In this short paper I present an alternate way of describing fluids in general, and the Navier–
Stokes fluid in particular, from a phenomenological point of view, that shows clearly that the …

On elastic solids with limiting small strain: modelling and analysis

M Bulíček, J Málek, KR Rajagopal, E Süli - EMS Surveys in …, 2014 - ems.press
In order to understand nonlinear responses of materials to external stimuli of different sort,
be they of mechanical, thermal, electrical, magnetic, or of optical nature, it is useful to have at …

A new class of quasi-linear models for describing the nonlinear viscoelastic response of materials

A Muliana, KR Rajagopal, AS Wineman - Acta Mechanica, 2013 - Springer
In this short note, we develop a new class of “quasi-linear” viscoelastic models wherein the
linearized strain is expressed in terms of a nonlinear measure of the stress. The class of …

On thermodynamics of incompressible viscoelastic rate type fluids with temperature dependent material coefficients

J Hron, V Miloš, V Průša, O Souček, K Tůma - International Journal of Non …, 2017 - Elsevier
We derive a class of thermodynamically consistent variants of Maxwell/Oldroyd-B type
models for incompressible viscoelastic fluids. In particular, we study the models that allow …

Crack problem within the context of implicitly constituted quasi-linear viscoelasticity

H Itou, VA Kovtunenko, KR Rajagopal - Mathematical Models and …, 2019 - World Scientific
A quasi-linear viscoelastic relation that stems from an implicit viscoelastic constitutive body
containing a crack is considered. The abstract form of the response function is given first in L …