The State of Stress and Strain Adjacent to Notches in a New Class of Nonlinear Elastic Bodies
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10407801" target="_blank" >RIV/00216208:11320/19:10407801 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=7QU2ztv4Wl" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=7QU2ztv4Wl</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10659-019-09724-0" target="_blank" >10.1007/s10659-019-09724-0</a>
Alternative languages
Result language
angličtina
Original language name
The State of Stress and Strain Adjacent to Notches in a New Class of Nonlinear Elastic Bodies
Original language description
In this paper we study the deformation of a body with a notch subject to an anti-plane state of stress within the context of a new class of elastic models. These models stem as approximations of constitutive response functions for an elastic body that is defined within the context of an implicit constitutive relation between the stress and the deformation gradient. Gum metal and many metallic alloys are described well by such constitutive relations. We consider the state of anti-plane stress of a body with a smoothened V-notch within the context of constitutive relations for the linearized strain in terms of a power-law for the stretch. The problem is solved numerically and the convergence and the stability of the solution is studied.
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
<a href="/en/project/GA18-12719S" target="_blank" >GA18-12719S: Thermodynamical and mathematical analysis of flows of complex fluids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
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
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Volume of the periodical
135
Issue of the periodical within the volume
1-2
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
23
Pages from-to
375-397
UT code for WoS article
000466776000012
EID of the result in the Scopus database
2-s2.0-85062478747