On the derivative of the stress-strain relation in a no-tension material
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
On the derivative of the stress-strain relation in a no-tension material
Original language description
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.
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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics and Mechanics of Solids
ISSN
1081-2865
e-ISSN
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Volume of the periodical
22
Issue of the periodical within the volume
7
Country of publishing house
DE - GERMANY
Number of pages
13
Pages from-to
1606-1618
UT code for WoS article
000404785600003
EID of the result in the Scopus database
2-s2.0-85021816457