Geophysical models of heat and fluid flow in damageable poro-elastic continua

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F17%3A00482369" target="_blank" >RIV/61388998:_____/17:00482369 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s00161-016-0547-5" target="_blank" >http://dx.doi.org/10.1007/s00161-016-0547-5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00161-016-0547-5" target="_blank" >10.1007/s00161-016-0547-5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Geophysical models of heat and fluid flow in damageable poro-elastic continua

Popis výsledku v původním jazyce

A rather general model for fluid and heat transport in poro-elastic continua undergoing possibly also plastic-like deformation and damage is developed with the goal to cover various specific models of rock rheology used in geophysics of Earth’s crust. Nonconvex free energy at small elastic strains, gradient theoriesn(in particular the concept of second-grade nonsimple continua), and Biot poro-elastic model are employed, together with possible large displacement due to large plastic-like strains evolving during long time periods.nAlso the additive splitting is justified in stratified situations which are of interest in modelling of lithospheric crust faults. Thermodynamically based formulation includes entropy balance (in particular the Clausius–Duhem inequality) and an explicit global energy balance. It is further outlined that the energy balance can be used to ensure, under suitable data qualification, existence of a weak solution and stability and convergence of suitable approximation schemes at least in some particular situations.

Název v anglickém jazyce

Geophysical models of heat and fluid flow in damageable poro-elastic continua

Popis výsledku anglicky

A rather general model for fluid and heat transport in poro-elastic continua undergoing possibly also plastic-like deformation and damage is developed with the goal to cover various specific models of rock rheology used in geophysics of Earth’s crust. Nonconvex free energy at small elastic strains, gradient theoriesn(in particular the concept of second-grade nonsimple continua), and Biot poro-elastic model are employed, together with possible large displacement due to large plastic-like strains evolving during long time periods.nAlso the additive splitting is justified in stratified situations which are of interest in modelling of lithospheric crust faults. Thermodynamically based formulation includes entropy balance (in particular the Clausius–Duhem inequality) and an explicit global energy balance. It is further outlined that the energy balance can be used to ensure, under suitable data qualification, existence of a weak solution and stability and convergence of suitable approximation schemes at least in some particular situations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Continuum Mechanics and Thermodynamics

ISSN

0935-1175

e-ISSN

—

Svazek periodika

29

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

22

Strana od-do

625-646

Kód UT WoS článku

000394976400015

EID výsledku v databázi Scopus

2-s2.0-85010822245