Modeling Gum Metal and other newly developed titanium alloys within a new class of constitutive relations for elastic bodies

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369315" target="_blank" >RIV/00216208:11320/17:10369315 - isvavai.cz</a>

Result on the web

<a href="http://am.ippt.pan.pl/am/article/view/v69p223" target="_blank" >http://am.ippt.pan.pl/am/article/view/v69p223</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Modeling Gum Metal and other newly developed titanium alloys within a new class of constitutive relations for elastic bodies

Original language description

Many titanium alloys and even materials such as concrete exhibit a nonlinear relationship between strain and stress, when the strain is small enough that the square of the norm of the displacement gradient can be ignored in comparison to the norm of the displacement gradient. Such response cannot be described within the classical theory of Cauchy elasticity wherein a linearization of the nonlinear strain leads to the classical linearized elastic response. A new framework for elasticity has been put into place in which one can justify rigorously a nonlinear relationship between the linearized strain and stress. Here, we consider one such model based on a power-law relationship. Previous attempts at describing such response have been either limited to the response of one particular material, e.g. Gum Metal, or involved a model with more material moduli, than the model considered in this work. For the uniaxial response of several metallic alloys, the model that is being considered fits experimental data exceedingly well.

Czech name

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Czech description

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Type

J_imp - 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

Project

<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

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

Name of the periodical

Archives of Mechanics

ISSN

0373-2029

e-ISSN

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Volume of the periodical

69

Issue of the periodical within the volume

3

Country of publishing house

PL - POLAND

Number of pages

19

Pages from-to

223-241

UT code for WoS article

000406139900002

EID of the result in the Scopus database

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