We provide universal formulae for the limiting stretching and bending energies of triangulated membrane networks endowed with nearest neighbor bond potentials and cosine-type dihedral angle potentials. The given formulae account for nite elasticity and solve some deciencies of earlier results for Helfrich-type bending energies, due to shape-dependence and sensitivity to mesh distortion eects of the limiting elastic coecients. We also provide the entire set of the elastic coecients characterizing the limiting response of the examined networks, accounting for full bending-stretching coupling. We illustrate the eectiveness of the proposed formulae by way of example, on examining the special cases of cylindrical and spherical networks covered with equilateral triangles, and discussing possible strategies for the experimental characterization of selected elastic moduli.

Universal formulae for the limiting elastic energy of membrane networks

FRATERNALI, Fernando
2012

Abstract

We provide universal formulae for the limiting stretching and bending energies of triangulated membrane networks endowed with nearest neighbor bond potentials and cosine-type dihedral angle potentials. The given formulae account for nite elasticity and solve some deciencies of earlier results for Helfrich-type bending energies, due to shape-dependence and sensitivity to mesh distortion eects of the limiting elastic coecients. We also provide the entire set of the elastic coecients characterizing the limiting response of the examined networks, accounting for full bending-stretching coupling. We illustrate the eectiveness of the proposed formulae by way of example, on examining the special cases of cylindrical and spherical networks covered with equilateral triangles, and discussing possible strategies for the experimental characterization of selected elastic moduli.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3038313
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