A Highly Anisotropic Nonlinear Elasticity Model for Vesicles II: Derivation of the Thin Bilayer Bending Theory
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| 008 | 210128e20150801xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-014-0840-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0840-z | ||
| 100 | 1 | |a Merlet |D Benoît |u Centre de Mathématiques Appliquées (CMAP), Ecole Polytechnique, 91128, Palaiseau, France |4 aut | |
| 245 | 1 | 2 | |a A Highly Anisotropic Nonlinear Elasticity Model for Vesicles II: Derivation of the Thin Bilayer Bending Theory |h [Elektronische Daten] |c [Benoît Merlet] |
| 520 | 3 | |a We study the thin-shell limit of the nonlinear elasticity model for vesicles introduced in part I. We consider vesicles of width $${2 \varepsilon \downarrow 0}$$ 2 ε ↓ 0 with elastic energy of order $${\varepsilon^3}$$ ε 3 . In this regime, we show that the limit model is a bending theory for generalized hypersurfaces—namely, co-dimension one oriented varifolds without boundary. Up to a positive factor, the limit functional is the Willmore energy. In the language of $${{\it \Gamma}}$$ Γ -convergence, we establish a compactness result, a lower bound result and the matching upper bound in the smooth case. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/2(2015-08-01), 681-740 |x 0003-9527 |q 217:2<681 |1 2015 |2 217 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0840-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0840-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Merlet |D Benoît |u Centre de Mathématiques Appliquées (CMAP), Ecole Polytechnique, 91128, Palaiseau, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/2(2015-08-01), 681-740 |x 0003-9527 |q 217:2<681 |1 2015 |2 217 |o 205 | ||