On the derivative of the stress-strain relation in a no-tension material

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00475995" target="_blank" >RIV/67985840:_____/17:00475995 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1177/1081286515571786" target="_blank" >http://dx.doi.org/10.1177/1081286515571786</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1177/1081286515571786" target="_blank" >10.1177/1081286515571786</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the derivative of the stress-strain relation in a no-tension material

Popis výsledku v původním jazyce

The stress-strain relation of a no-tension material, used to model masonry structures, is determined by the nonlinear projection of the strain tensor onto the image of the convex cone of negative-semidefinite stresses under the fourth-order tensor of elastic compliances. We prove that the stress-strain relation is indefinitely differentiable on an open dense subset ... of the set of all strains. The set ... consists of four open connected regions determined by the rank k=0,1,2,3 of the resulting stress. Further, an equation for the derivative of the stress-strain relation is derived. This equation cannot be solved explicitly in the case of a material of general symmetry, but it is shown that for an isotropic material this leads to the derivative established earlier by Lucchesi et al. (Int. J. Solid Struc. 1996, 33: 1961-1994 and Masonry constructions: Mechanical models and numerical applications. Berlin: Springer, 2008) by different means.

Název v anglickém jazyce

On the derivative of the stress-strain relation in a no-tension material

Popis výsledku anglicky

The stress-strain relation of a no-tension material, used to model masonry structures, is determined by the nonlinear projection of the strain tensor onto the image of the convex cone of negative-semidefinite stresses under the fourth-order tensor of elastic compliances. We prove that the stress-strain relation is indefinitely differentiable on an open dense subset ... of the set of all strains. The set ... consists of four open connected regions determined by the rank k=0,1,2,3 of the resulting stress. Further, an equation for the derivative of the stress-strain relation is derived. This equation cannot be solved explicitly in the case of a material of general symmetry, but it is shown that for an isotropic material this leads to the derivative established earlier by Lucchesi et al. (Int. J. Solid Struc. 1996, 33: 1961-1994 and Masonry constructions: Mechanical models and numerical applications. Berlin: Springer, 2008) by different means.

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

7

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

13

Strana od-do

1606-1618

Kód UT WoS článku

000404785600003

EID výsledku v databázi Scopus

2-s2.0-85021816457