Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
Continuum mechanics with dislocations, with the Cattaneo-type heat conduction, with mass
transfer, and with electromagnetic fields is put into the Hamiltonian form and into the form of …
transfer, and with electromagnetic fields is put into the Hamiltonian form and into the form of …
Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion
We prove that there exists a weak solution to a system governing an unsteady flow of a
viscoelastic fluid in three dimensions, for arbitrarily large time interval and data. The fluid is …
viscoelastic fluid in three dimensions, for arbitrarily large time interval and data. The fluid is …
Gradient-enhanced thermomechanical 3D model for simulation of transformation patterns in pseudoelastic shape memory alloys
Stress-induced martensitic transformation in polycrystalline NiTi under tension often
proceeds through formation and propagation of macroscopic phase transformation fronts, ie …
proceeds through formation and propagation of macroscopic phase transformation fronts, ie …
Thermodynamics of viscoelastic rate-type fluids with stress diffusion
We propose thermodynamically consistent models for viscoelastic fluids with a stress
diffusion term. In particular, we derive variants of compressible/incompressible …
diffusion term. In particular, we derive variants of compressible/incompressible …
Derivation of the variants of the Burgers model using a thermodynamic approach and appealing to the concept of evolving natural configurations
Viscoelastic rate-type fluid models involving the stress and frame-indifferent time derivatives
of second order, like those in Burgers' model, are used to describe the complicated …
of second order, like those in Burgers' model, are used to describe the complicated …
Thermodynamics and stability of non-equilibrium steady states in open systems
Thermodynamical arguments are known to be useful in the construction of physically
motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous …
motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous …
On the Cauchy problem for a compressible Oldroyd-B model without stress diffusion
S Liu, Y Lu, H Wen - SIAM Journal on Mathematical Analysis, 2021 - SIAM
This article is devoted to the global well-posedness and associated time-decay estimates of
strong solutions for the compressible Oldroyd-B model without stress diffusion in R^3. By …
strong solutions for the compressible Oldroyd-B model without stress diffusion in R^3. By …
Modeling Payne effect with a framework of multiple natural configurations
SPA Narayan, LI Palade - International Journal of Engineering Science, 2020 - Elsevier
Payne effect is the complex nonlinear response of filled elastomers to oscillatory loading.
Although usually characterized by the decrease in the storage modulus with strain …
Although usually characterized by the decrease in the storage modulus with strain …
PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion
We establish the long-time existence of large-data weak solutions to a system of nonlinear
partial differential equations. The system of interest governs the motion of non-Newtonian …
partial differential equations. The system of interest governs the motion of non-Newtonian …
Non-isothermal viscoelastic flows with conservation laws and relaxation
S Boyaval, M Dostalík - Journal of Hyperbolic Differential Equations, 2022 - World Scientific
We propose a system of conservation laws with relaxation source terms (ie balance laws) for
non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the …
non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the …