The Stefan problem in a thermomechanical context with fracture and fluid flow

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F23%3A00579760" target="_blank" >RIV/61388998:_____/23:00579760 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/23:10474100

Výsledek na webu

<a href="https://onlinelibrary.wiley.com/doi/10.1002/mma.8684" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/mma.8684</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mma.8684" target="_blank" >10.1002/mma.8684</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The Stefan problem in a thermomechanical context with fracture and fluid flow

Popis výsledku v původním jazyce

The classical Stefan problem, concerning mere heat-transfer during solid-liquid phase transition, is here enhanced towards mechanical effects. The Eulerian description at large displacements is used with convective and Zaremba-Jaumann corotational time derivatives, linearized by using the additive Green-Naghdi's decomposition in (objective) rates. In particular, the liquid phase is a viscoelastic fluid while creep and rupture of the solid phase is considered in the Jeffreys viscoelastic rheology exploiting the phase-field model and a concept of slightly (so-called semi) compressible materials. The L-1-theory for the heat equation is adopted for the Stefan problem relaxed by allowing for kinetic superheating/supercooling effects during the solid-liquid phase transition. A rigorous proof of existence of weak solutions is provided for an incomplete melting, employing a time discretization approximation.

Název v anglickém jazyce

The Stefan problem in a thermomechanical context with fracture and fluid flow

Popis výsledku anglicky

The classical Stefan problem, concerning mere heat-transfer during solid-liquid phase transition, is here enhanced towards mechanical effects. The Eulerian description at large displacements is used with convective and Zaremba-Jaumann corotational time derivatives, linearized by using the additive Green-Naghdi's decomposition in (objective) rates. In particular, the liquid phase is a viscoelastic fluid while creep and rupture of the solid phase is considered in the Jeffreys viscoelastic rheology exploiting the phase-field model and a concept of slightly (so-called semi) compressible materials. The L-1-theory for the heat equation is adopted for the Stefan problem relaxed by allowing for kinetic superheating/supercooling effects during the solid-liquid phase transition. A rigorous proof of existence of weak solutions is provided for an incomplete melting, employing a time discretization approximation.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

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

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Mathematical Methods in the Applied Sciences

ISSN

0170-4214

e-ISSN

1099-1476

Svazek periodika

46

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

29

Strana od-do

12217-12245

Kód UT WoS článku

000967855900001

EID výsledku v databázi Scopus

2-s2.0-85152357611