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Related papers: Thermo-physical description of elastic solids

200 papers

We derive a class of thermodynamically consistent variants of Maxwell/Oldroyd-B type models for viscoelastic fluids. In particular, we study the models that allow one to consider temperature dependent material coefficients. This naturally…

Fluid Dynamics · Physics 2017-07-12 Jaroslav Hron , Vojtěch Miloš , Vít Průša , Ondřej Souček , Karel Tůma

Simple application of the Einstein model combined with the elastic description of solid state is developed. The frequency of quantum oscillators has been assumed as volume dependent and, furthermore, elastic energy terms of static character…

Statistical Mechanics · Physics 2013-04-09 Tadeusz Balcerzak , Karol Szałowski , Michal Jaščur

Linear thermal expansion coefficient (TEC) and specific heat of Ti bulk is investigated by means of molecular dynamics simulation. Elastic Minimum Image Convention of periodic boundary conditions is introduced to allow the bulk to adjust…

Computational Physics · Physics 2007-05-23 Yakup Hundur , Rainer Hippler , Ziya B. Guvenc

A recently proposed expression to describe the temperature and volume dependences of the structural (or alpha) relaxation time is discussed. This equation satisfies the scaling law for the relaxation times, tau = f(TV^g), where T is…

Soft Condensed Matter · Physics 2009-11-13 R. Casalini , C. M. Roland

We have developed a new theory relating partial molar volumes of binary mixtures to the specific (Voronoi) volumes. A simple relation gives new insight into the physical meaning of partial molar volumes in terms of the actual volumes…

Chemical Physics · Physics 2025-04-21 Kristian Polanco Olsen , Bjorn Hafskjold , Anders Lervik , Alex Hansen

We focus on a highly nonlinear evolutionary abstract PDE system describing volume processes coupled with surfaces processes in thermoviscoelasticity, featuring the quasi-static momentum balance, the equation for the unidirectional evolution…

Analysis of PDEs · Mathematics 2014-02-11 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

With the use of thermodynamics and general equilibrium conditions only, we study the entropy of a fluid in the vicinity of the critical point of the liquid-vapor phase transition. By assuming a general form for the coexistence curve in the…

Statistical Mechanics · Physics 2021-06-16 J. C. Obeso-Jureidini , D. Olascoaga , V. Romero-Rochín

We report and explain a convective phenomenon observed in molecular dynamics simulations that cannot be classified either as a hydrodynamics instability nor as a macroscopically forced convection. Two complementary arguments show that the…

Condensed Matter · Physics 2009-10-22 Jorge Ibsen , Rodrigo Soto , Patricio Cordero

We study the elastic theory of amorphous solids made of particles with finite range interactions in the thermodynamic limit. For the elastic theory to exist one requires all the elastic coefficients, linear and nonlinear, to attain a finite…

Statistical Mechanics · Physics 2015-05-20 H. G. E. Hentschel , Smarajit Karmakar , Edan Lerner , Itamar Procaccia

A new result enables direct calculation of thermoelastic damping in vibrating elastic solids. The mechanism for energy loss is thermal diffusion caused by inhomogeneous deformation, flexure in thin plates. The general result is combined…

Materials Science · Physics 2007-05-23 Andrew N. Norris , Douglas M. Photiadis

The thermodynamics framework of an interacting quantum gas trapped by an arbitrary external potential is reviewed. We show that for each confining potential, in the thermodynamic limit, there emerge "generalized" volume and pressure…

Statistical Mechanics · Physics 2016-08-14 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

There is an ever-growing need for predictive models for the elasto-viscoplastic deformation of solids. Our goal in this paper is to incorporate recently developed out-of-equilibrium statistical concepts into a thermodynamically consistent,…

Materials Science · Physics 2015-06-18 Ken Kamrin , Eran Bouchbinder

Direct correlation functions (DCFs), linked to the second functional derivative of the free energy with respect to the one-particle density, play a fundamental role in a statistical mechanics description of matter. This holds in particular…

Soft Condensed Matter · Physics 2021-08-25 S. -C. Lin , M. Oettel , J. M. Hring , R. Haussmann , M. Fuchs , G. Kahl

Starting from a general classical model of many interacting particles we present a well defined step by step procedure to derive the continuum-mechanics equations of nonlinear elasticity theory with fluctuations which describe the…

Statistical Mechanics · Physics 2022-06-02 Rudolf Haussmann

Using the density functional formalism we derive expression for the distortion free energy for systems with continuous broken symmetry and use it to derive expression for the elastic constants of smectic phases in which director is tilted…

Soft Condensed Matter · Physics 2009-11-07 Yashwant Singh , Jokhan Ram

The thermodynamical model of visco-elastic deformable solids at finite strains is formulated in a fully Eulerian way in rates. Also effects of thermal expansion or buoyancy due to evolving mass density in a gravity field are covered. The…

Analysis of PDEs · Mathematics 2023-09-14 Tomáš Roubíček

We employ the IllustrisTNG simulation data to investigate the turbulent and thermal motions of the cosmic baryonic fluid. With continuous wavelet transform techniques, we define the pressure spectra, or density-weighted velocity power…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-12 Yun Wang , Ping He

Understanding granular and other athermal systems requires the identification of state variables which consistently predict their bulk properties. A promising approach has been to draw on the techniques of equilibrium statistical mechanics,…

Statistical Mechanics · Physics 2009-05-13 Frederic Lechenault , Karen E. Daniels

There is a common view in thermodynamics that the behavior of a macroscopic system can be described by only a few state variables. Although this is true for many cases, it is unclear whether it is meaningful to ask how many state variables…

Statistical Mechanics · Physics 2022-01-05 Koun Shirai

Although density functional theory provides reliable predictions for the static properties of simple fluids under confinement, a theory of comparative accuracy for the transport coefficients has yet to emerge. Nonetheless, there is evidence…