Overhanging of membranes and filaments adhering to periodic graph substrates

PHYSICA D-NONLINEAR PHENOMENA

卷:355

Article

Miura, Tatsuya¹ 

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

关键词: Adhesion;    Elastica;    Obstacle problem;    Contact potential;    Free boundary problem;    Graph representation;   

DOI  :  10.1016/j.physd.2017.06.002

来源: Elsevier

【 摘 要 】

This paper mathematically studies membranes and filaments adhering to periodic patterned substrates in a one-dimensional model. The problem is formulated by the minimizing problem of an elastic energy with a contact potential on graph substrates. Global minimizers (ground states) are mainly considered in view of their graph representations. Our main results exhibit sufficient conditions for the graph representation and examples of situations where any global minimizer must overhang. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free