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Higher gradient expansion for linear isotropic peridynamic materials
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SYSNO ASEP 0475571 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Higher gradient expansion for linear isotropic peridynamic materials Tvůrce(i) Šilhavý, Miroslav (MU-W) RID, SAI, ORCID Zdroj.dok. Mathematics and Mechanics of Solids. - : Sage - ISSN 1081-2865
Roč. 22, č. 6 (2017), s. 1483-1493Poč.str. 11 s. Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova peridynamics ; higher-grade theories ; non-local elastic-material model ; representation theorems for isotropic functions Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics Institucionální podpora MU-W - RVO:67985840 UT WOS 000402887700015 EID SCOPUS 85020387341 DOI 10.1177/1081286516637235 Anotace Peridynamics is a non-local continuum mechanics that replaces the differential operator embodied by the stress term div S in Cauchy's equation of motion by a non-local force functional L to take into account long-range forces. The resulting equation of motion reads If the characteristic length delta of the interparticle interaction approaches 0, the operator L admits an expansion in delta i that, for a linear isotropic material, reads Where lambda and mu are the LamE moduli of the classical elasticity, and the remaining higher-order corrections contain products of the type T(s)u := Theta(s) . del(2s)u of even-order gradients del(2s)u (i. e., the collections of all partial derivatives of u of order 2s) and constant coefficients Theta(s) collectively forming a tensor of order 2s. Symmetry arguments show that the terms T(s)u have the form where lambda(s) and mu(s) are scalar constants. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2018
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