Mechanical response of elastic materials with density dependent Young modulus
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10464919" target="_blank" >RIV/00216208:11320/23:10464919 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=uniZj6kye9" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=uniZj6kye9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apples.2023.100126" target="_blank" >10.1016/j.apples.2023.100126</a>
Alternative languages
Result language
angličtina
Original language name
Mechanical response of elastic materials with density dependent Young modulus
Original language description
The experimental as well as theoretical engineering literature on porous structures such as metal foams, aerogels or bones often relies on the standard linearised elasticity theory, and, simultaneously, it frequently introduces the concept of "density dependent Young modulus". We interpret the concept of "density dependent Young modulus" literally, that is we consider the linearised elasticity theory with the generalised Young modulus being a function of the current density, and we briefly summarise the existing literature on theoretical justification of such models. Subsequently we numerically study the response of elastic materials with the "density dependent Young modulus" in several complex geometrical settings. In particular, we study the extension of a right circular cylinder, the deflection of a thin plate, the bending of a beam, and the compression of a cube subject to a surface load, and we quantify the impact of the density dependent Young modulus on the mechanical response in the given setting. In some geometrical settings the impact is almost nonexisting-the results based on the classical theory with the constant Young modulus are nearly identical to the results obtained for the density dependent Young modulus. However, in some cases such as the deflection of a thin plate, the results obtained with constant/density dependent Young modulus differ considerably despite the fact that in both cases the infinitesimal strain condition is well satisfied.
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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications in Engineering Science
ISSN
2666-4968
e-ISSN
2666-4968
Volume of the periodical
14
Issue of the periodical within the volume
7 February 2023
Country of publishing house
GB - UNITED KINGDOM
Number of pages
8
Pages from-to
100126
UT code for WoS article
001034009700001
EID of the result in the Scopus database
2-s2.0-85147913378