Renormalized energy of a dislocation loop in a 3D anisotropic body
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Renormalized energy of a dislocation loop in a 3D anisotropic body
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Elasticity
ISSN
0374-3535
e-ISSN
1573-2681
Volume of the periodical
154
Issue of the periodical within the volume
1-4
Country of publishing house
DE - GERMANY
Number of pages
27
Pages from-to
355-381
UT code for WoS article
000984758300001
EID of the result in the Scopus database
2-s2.0-85159042582