Wrinkles and folds in a fluid-supported sheet of finite size

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 91, Issue 5, 2015, Pages

  Oshri, Oz ^a   Brau, Fabian ^b   Diamant, Haim ^a  

^a TEL AVIV UNIVERSITY   (Israel)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSED MATTER PHYSICS;

APPROXIMATE SOLUTION; DEFORMATION ENERGY; ELASTIC SHEETS; ENERGY DISTRIBUTIONS; EXACT SOLUTION; LIQUID SUBSTRATE; PERIODIC DEFORMATION; SECOND ORDER TRANSITION;

DEFORMATION;

EID: 84930637281     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.91.052408     Document Type: Article

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57. Note that there are two definitions for the modulus of the elliptic functions. In this section, we use the one given in Ref. [50]. The other one, (Equation presented), is used in Ref. [51] and by mathematica.
58. The Jacobian function dc yields a solution identical to Eq. (43). The function cn describes a solution whose amplitude decreases with increasing displacement. The remaining nine functions either diverge with increasing (Equation presented) and/or are odd, thus reversing the symmetry of the solution.
59. We use here the envelope at its lowest mode (no nodes). Higher modes, satisfying (Equation presented) with (Equation presented), are valid solutions but with higher energy.