Higher gradient expansion for linear isotropic peridynamic materials

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00475571" target="_blank" >RIV/67985840:_____/17:00475571 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1177/1081286516637235" target="_blank" >http://dx.doi.org/10.1177/1081286516637235</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1177/1081286516637235" target="_blank" >10.1177/1081286516637235</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Higher gradient expansion for linear isotropic peridynamic materials

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Higher gradient expansion for linear isotropic peridynamic materials

Popis výsledku anglicky

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.

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

2017

Kód důvěrnosti údajů

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

Název periodika

Mathematics and Mechanics of Solids

ISSN

1081-2865

e-ISSN

—

Svazek periodika

22

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

11

Strana od-do

1483-1493

Kód UT WoS článku

000402887700015

EID výsledku v databázi Scopus

2-s2.0-85020387341