Renormalized energy of a dislocation loop in a 3D anisotropic body

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00578000" target="_blank" >RIV/67985840:_____/23:00578000 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/s10659-023-10017-w" target="_blank" >https://doi.org/10.1007/s10659-023-10017-w</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10659-023-10017-w" target="_blank" >10.1007/s10659-023-10017-w</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Renormalized energy of a dislocation loop in a 3D anisotropic body

Popis výsledku v původním jazyce

The paper presents a rigorous analysis of the singularities of elastic fields near a dislocation loop in a body of arbitrary material symmetry that extends over the entire three-space. Explicit asymptotic formulas are given for the stress, strain and the incompatible distortion near the curved dislocation. These formulas are used to analyze the main object of the paper, the renormalized energy. The core-cutoff method is used to introduce that notion: first, a core in the form of a curved tube along the dislocation loop is removed, then, the energy of the complement is determined (= the core-cutoff energy). As in the case of a straight dislocation, the core-cutoff energy has a singularity that is proportional to the logarithm of the core radius. The renormalized energy is the limit, as the radius tends to 0, of the core-cutoff energy minus the singular logarithmic part. The main result of the paper are novel formulas for the coefficient of logarithmic singularity (the ‘prelogarithmic energy factor’) and for the renormalized energy.

Název v anglickém jazyce

Renormalized energy of a dislocation loop in a 3D anisotropic body

Popis výsledku anglicky

The paper presents a rigorous analysis of the singularities of elastic fields near a dislocation loop in a body of arbitrary material symmetry that extends over the entire three-space. Explicit asymptotic formulas are given for the stress, strain and the incompatible distortion near the curved dislocation. These formulas are used to analyze the main object of the paper, the renormalized energy. The core-cutoff method is used to introduce that notion: first, a core in the form of a curved tube along the dislocation loop is removed, then, the energy of the complement is determined (= the core-cutoff energy). As in the case of a straight dislocation, the core-cutoff energy has a singularity that is proportional to the logarithm of the core radius. The renormalized energy is the limit, as the radius tends to 0, of the core-cutoff energy minus the singular logarithmic part. The main result of the paper are novel formulas for the coefficient of logarithmic singularity (the ‘prelogarithmic energy factor’) and for the renormalized energy.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

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

Journal of Elasticity

ISSN

0374-3535

e-ISSN

1573-2681

Svazek periodika

154

Číslo periodika v rámci svazku

1-4

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

27

Strana od-do

355-381

Kód UT WoS článku

000984758300001

EID výsledku v databázi Scopus

2-s2.0-85159042582