Počet záznamů: 1
Renormalized energy of a dislocation loop in a 3D anisotropic body
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SYSNO ASEP 0578000 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Renormalized energy of a dislocation loop in a 3D anisotropic body Tvůrce(i) Šilhavý, Miroslav (MU-W) RID, SAI, ORCID Zdroj.dok. Journal of Elasticity. - : Springer - ISSN 0374-3535
Roč. 154, 1-4 (2023), s. 355-381Poč.str. 27 s. Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova dislocations ; incompatible distortion field ; regularized energy ; prelogarithmic energy factor Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics Způsob publikování Open access Institucionální podpora MU-W - RVO:67985840 UT WOS 000984758300001 EID SCOPUS 85159042582 DOI https://doi.org/10.1007/s10659-023-10017-w Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2024 Elektronická adresa https://doi.org/10.1007/s10659-023-10017-w
Počet záznamů: 1