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Pregled bibliografske jedinice broj: 1004748

Regularity of intrinsically convex W^{;;2, 2};; surfaces and a derivation of a homogenized bending theory of convex shells

Hornung, Peter; Velčić, Igor
Regularity of intrinsically convex W^{;;2, 2};; surfaces and a derivation of a homogenized bending theory of convex shells // Journal de mathématiques pures et appliquées, 115 (2018), 1-23 doi:10.1016/j.matpur.2018.04.008 (međunarodna recenzija, članak, znanstveni)

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Naslov
Regularity of intrinsically convex W^{;;2, 2};; surfaces and a derivation of a homogenized bending theory of convex shells

Autori
Hornung, Peter ; Velčić, Igor

Izvornik
Journal de mathématiques pures et appliquées (0021-7824) 115 (2018); 1-23

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Nonlinear elasticity ; Isometric immersions ; Homogenization ; Positive Gauss curvature ; Dimension reduction ; Bending theory

Sažetak
We prove interior regularity for isometric immersions of surfaces endowed with a smooth Riemannian metric of positive Gauss curvature. We then derive the Γ- limit of three dimensional nonlinear shells with inhomogeneous energy density, in the bending energy regime. This derivation is incomplete in that it requires an additional technical hypothesis

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-UIP-2014-09-9477

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Igor Velčić (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Hornung, Peter; Velčić, Igor
Regularity of intrinsically convex W^{;;2, 2};; surfaces and a derivation of a homogenized bending theory of convex shells // Journal de mathématiques pures et appliquées, 115 (2018), 1-23 doi:10.1016/j.matpur.2018.04.008 (međunarodna recenzija, članak, znanstveni)
Hornung, P. & Velčić, I. (2018) Regularity of intrinsically convex W^{;;2, 2};; surfaces and a derivation of a homogenized bending theory of convex shells. Journal de mathématiques pures et appliquées, 115, 1-23 doi:10.1016/j.matpur.2018.04.008.
@article{article, author = {Hornung, Peter and Vel\v{c}i\'{c}, Igor}, year = {2018}, pages = {1-23}, DOI = {10.1016/j.matpur.2018.04.008}, keywords = {Nonlinear elasticity, Isometric immersions, Homogenization, Positive Gauss curvature, Dimension reduction, Bending theory}, journal = {Journal de math\'{e}matiques pures et appliqu\'{e}es}, doi = {10.1016/j.matpur.2018.04.008}, volume = {115}, issn = {0021-7824}, title = {Regularity of intrinsically convex W\^{}{;;2, 2};; surfaces and a derivation of a homogenized bending theory of convex shells}, keyword = {Nonlinear elasticity, Isometric immersions, Homogenization, Positive Gauss curvature, Dimension reduction, Bending theory} }
@article{article, author = {Hornung, Peter and Vel\v{c}i\'{c}, Igor}, year = {2018}, pages = {1-23}, DOI = {10.1016/j.matpur.2018.04.008}, keywords = {Nonlinear elasticity, Isometric immersions, Homogenization, Positive Gauss curvature, Dimension reduction, Bending theory}, journal = {Journal de math\'{e}matiques pures et appliqu\'{e}es}, doi = {10.1016/j.matpur.2018.04.008}, volume = {115}, issn = {0021-7824}, title = {Regularity of intrinsically convex W\^{}{;;2, 2};; surfaces and a derivation of a homogenized bending theory of convex shells}, keyword = {Nonlinear elasticity, Isometric immersions, Homogenization, Positive Gauss curvature, Dimension reduction, Bending theory} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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