Unified thermodynamic stability analysis in fluids and elastic materials

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00353598" target="_blank" >RIV/68407700:21340/21:00353598 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.fluid.2021.113219" target="_blank" >https://doi.org/10.1016/j.fluid.2021.113219</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fluid.2021.113219" target="_blank" >10.1016/j.fluid.2021.113219</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Unified thermodynamic stability analysis in fluids and elastic materials

Popis výsledku v původním jazyce

Thermodynamic stability provides the range of admissible properties of fluids and deformable solids. It also allows determination if a substance can exist in given conditions. When a fluid reaches its limit of thermodynamic stability, it should change phase. In deformable solids, instability may lead to failure, and cracks are formed, the bulk solid stays the same, but work from tension is converted to surface energy. In single-component fluids, thermodynamic stability leads to the dual conditions that the isothermal compressibility and the heat capacity be positive at constant volume. In solids, both in 2D and 3D, the bulk modulus Kand the Lamé constant μshould be positive; these two conditions arise from the mechanical stability. The thermal stability requires that the heat capacity to be positive. The criteria of thermodynamic stability in fluids and deformable solids are often derived on different approaches. In fluids, the derivations are based on a minimum of thermodynamic functions such as internal energy or Helmholtz free energy. In solids, various expressions are based on volumetric behavior, geometrical, dynamic, and energy expressions. We are not aware of generalized derivations for both fluids and solids. In this work, we derive the criteria of thermodynamics stability of fluids, and deformable solids in 1D, 2D, and 3D. The derivations are based on the minimum of the Helmholtz free energy. The motivation from this work is to set a basis for expansion to thermodynamic stability of fluid-solid systems in relation to effect of different fluids on failure of solids

Název v anglickém jazyce

Unified thermodynamic stability analysis in fluids and elastic materials

Popis výsledku anglicky

Thermodynamic stability provides the range of admissible properties of fluids and deformable solids. It also allows determination if a substance can exist in given conditions. When a fluid reaches its limit of thermodynamic stability, it should change phase. In deformable solids, instability may lead to failure, and cracks are formed, the bulk solid stays the same, but work from tension is converted to surface energy. In single-component fluids, thermodynamic stability leads to the dual conditions that the isothermal compressibility and the heat capacity be positive at constant volume. In solids, both in 2D and 3D, the bulk modulus Kand the Lamé constant μshould be positive; these two conditions arise from the mechanical stability. The thermal stability requires that the heat capacity to be positive. The criteria of thermodynamic stability in fluids and deformable solids are often derived on different approaches. In fluids, the derivations are based on a minimum of thermodynamic functions such as internal energy or Helmholtz free energy. In solids, various expressions are based on volumetric behavior, geometrical, dynamic, and energy expressions. We are not aware of generalized derivations for both fluids and solids. In this work, we derive the criteria of thermodynamics stability of fluids, and deformable solids in 1D, 2D, and 3D. The derivations are based on the minimum of the Helmholtz free energy. The motivation from this work is to set a basis for expansion to thermodynamic stability of fluid-solid systems in relation to effect of different fluids on failure of solids

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20303 - Thermodynamics

Projekt

<a href="/cs/project/GA21-09093S" target="_blank" >GA21-09093S: Vícefázové proudění, transport a změny struktury zeminy související se zamrzáním a rozmrzáním vody v podpovrchových vrstvách</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Fluid Phase Equilibria

ISSN

0378-3812

e-ISSN

1879-0224

Svazek periodika

549

Číslo periodika v rámci svazku

113219

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

6

Strana od-do

—

Kód UT WoS článku

000703584800014

EID výsledku v databázi Scopus

2-s2.0-85115926483