On the treatment of non-reciprocal rate-independent kinetics via thermodynamic extremal principles

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68081723%3A_____%2F20%3A00534026" target="_blank" >RIV/68081723:_____/20:00534026 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0022509620303823?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022509620303823?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmps.2020.104149" target="_blank" >10.1016/j.jmps.2020.104149</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the treatment of non-reciprocal rate-independent kinetics via thermodynamic extremal principles

Popis výsledku v původním jazyce

Onsager’s Reciprocal Relations between thermodynamic forces and fluxes, for which On- sager was awarded the Nobel Prize, automatically follow from Thermodynamic Extremal Principles. Thus, the principles have been up to now non-applicable for the treatment of experimentally determined or theoretically modeled non-reciprocal systems as e.g. those involving magnetic fields. Recently, we were able to demonstrate that adding of a certain barrier constraint as bilinear form of thermodynamic forces and fluxes accounted by the Thermodynamic Extremal Principles leads to non-reciprocal relations between the thermo- dynamic forces and fluxes. In this work, we extend this formulation to rate-independent systems possessing non-differentiable dissipation functions. As an application, we show that the non-associated models of pressure dependent plasticity can be obtained in this fashion.

Název v anglickém jazyce

On the treatment of non-reciprocal rate-independent kinetics via thermodynamic extremal principles

Popis výsledku anglicky

Onsager’s Reciprocal Relations between thermodynamic forces and fluxes, for which On- sager was awarded the Nobel Prize, automatically follow from Thermodynamic Extremal Principles. Thus, the principles have been up to now non-applicable for the treatment of experimentally determined or theoretically modeled non-reciprocal systems as e.g. those involving magnetic fields. Recently, we were able to demonstrate that adding of a certain barrier constraint as bilinear form of thermodynamic forces and fluxes accounted by the Thermodynamic Extremal Principles leads to non-reciprocal relations between the thermo- dynamic forces and fluxes. In this work, we extend this formulation to rate-independent systems possessing non-differentiable dissipation functions. As an application, we show that the non-associated models of pressure dependent plasticity can be obtained in this fashion.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20303 - Thermodynamics

Projekt

<a href="/cs/project/EF16_025%2F0007304" target="_blank" >EF16_025/0007304: Materiály s vnitřní architekturou strukturované pro aditivní technologie</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Journal of the Mechanics and Physics of Solids

ISSN

0022-5096

e-ISSN

—

Svazek periodika

145

Číslo periodika v rámci svazku

DEC

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

7

Strana od-do

104149

Kód UT WoS článku

000612236900006

EID výsledku v databázi Scopus

2-s2.0-85090414160