prikaz prve stranice dokumenta On pure bending in non-linear elasticity: A circular closed-form 2D solution for semi-linear orthotropic material
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On pure bending in non-linear elasticity: A circular closed-form 2D solution for semi-linear orthotropic material
European Journal of Mechanics - A/Solids, 90 (2021); 104289. https://doi.org/10.1016/j.euromechsol.2021.104289
Jelenić, Gordan

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Jelenić, G. (2021). On pure bending in non-linear elasticity: A circular closed-form 2D solution for semi-linear orthotropic material. European Journal of Mechanics - A/Solids, 90.. doi: 10.1016/j.euromechsol.2021.104289

Jelenić, Gordan. "On pure bending in non-linear elasticity: A circular closed-form 2D solution for semi-linear orthotropic material." European Journal of Mechanics - A/Solids, vol. 90, 2021. https://doi.org/10.1016/j.euromechsol.2021.104289

Jelenić, Gordan. "On pure bending in non-linear elasticity: A circular closed-form 2D solution for semi-linear orthotropic material." European Journal of Mechanics - A/Solids 90 (2021). https://doi.org/10.1016/j.euromechsol.2021.104289

Jelenić, G. (2021) 'On pure bending in non-linear elasticity: A circular closed-form 2D solution for semi-linear orthotropic material', European Journal of Mechanics - A/Solids, 90. doi: 10.1016/j.euromechsol.2021.104289

Jelenić G. On pure bending in non-linear elasticity: A circular closed-form 2D solution for semi-linear orthotropic material. European Journal of Mechanics - A/Solids [Internet]. 11.2021. [pristupljeno 03.04.2025.];90. doi: 10.1016/j.euromechsol.2021.104289

G. Jelenić, "On pure bending in non-linear elasticity: A circular closed-form 2D solution for semi-linear orthotropic material", European Journal of Mechanics - A/Solids, vol. 90, Studeni 2021. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:157:994001. [Citirano: 03.04.2025.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:157:994001
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Podaci o radu
Naslov (engleski)On pure bending in non-linear elasticity: A circular closed-form 2D solution for semi-linear orthotropic material
AutorGordan Jelenić
Autorova ustanovaSveučilište u Rijeci
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Temeljne tehničke znanosti
Sažetak (engleski)
Large-deformation pure bending of a straight beam of uniform rectangular cross-section in plane strain is revisited and generalised to an orthotropic linear-elastic material and the case of plane stress. The beam is bent into a completely shearless state by means of normal surface traction of a specific profile. For a linear-elastic material expressed in terms of Biot strain and stress tensors (orthotropic generalisation of the so-called semi-linear material) the solution still exists in closed... Više form and is expressed in terms of the applied cross-sectional traction. As such, it provides a convenient benchmark reference for numerical methods in non-linear elasticity. In agreement with the isotropic case, through-the-thickness stresses develop in the form a hyperbolic cosine, but now with the magnitude actually depending on a measure of orthotropy in the material, while the longitudinal stresses change over the thickness in the form of a hyperbolic sine. In general, the unstrained axis is displaced from the centroidal axis. For an ideal material with infinite yield strength, the theoretical maximum of the magnitude of the longitudinal traction is limited to the amount of the geometric mean of the effective Young’s moduli in the longitudinal and the through-the-thickness directions while, for a brittle material, bending strength reduces by approximately 7/15 of the square of the ratio between the magnitude of the applied traction and this mean value. Sakrij dio sažetka
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaEuropean Journal of Mechanics - A/Solids
Brojčani podacivol. 90, 104289
p-ISSN0997-7538
DOIhttps://doi.org/10.1016/j.euromechsol.2021.104289
URN:NBNurn:nbn:hr:157:994001
Datum objave publikacije2021-11
ProjektŠifra: IP-2018-01-1732
Naziv (hrvatski): Koncept nepomičnog pola u numeričkom modeliranju Cosseratovog kontinuuma
Naziv (engleski): The concept of a stationary pole in the numerical modeling of the Cosserat continuum
Kratica: FIMCOS
Voditelj: Gordan Jelenić
Pravna nadležnost: Hrvatska
Financijer: Hrvatska zaklada za znanost
ProjektŠifra: uniri-tehnic-18-248 1415
Naziv (hrvatski): Računski i eksperimentalni postupci za određivanje materijalnih parametara Cosseratovog kontinuuma
Naziv (engleski): Computational and experimental procedures for assessment of material parameters in Cosserats' continuum
Voditelj: Gordan Jelenić
Pravna nadležnost: Hrvatska
Financijer: Sveučilište u Rijeci
URL dokumentahttps://linkinghub.elsevier.com/retrieve/pii/S099775382100070X
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Imenovanje 4.0 međunarodna (CC BY 4.0)
Datum i vrijeme pohrane2025-04-02 12:22:26
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