Discontinuous Galerkin approach to large bending deformation of a bilayer plate with isometry constraint

JOURNAL OF COMPUTATIONAL PHYSICS

卷:423

Article

Bonito, Andrea¹  Nochetto, Ricardo H.^2,3  Ntogkas, Dimitris⁴ 

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[3] Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA

[4] Wells Fargo, Charlotte, NC 28202 USA

关键词: Nonlinear elasticity;    Bilayer bending;    Finite element method;    Discontinuous galerkin;   

DOI  :  10.1016/j.jcp.2020.109785

来源: Elsevier

【 摘 要 】

We present a computational model of thin elastic bilayers that undergo large bending isometric deformations when actuated by non-mechanical stimuli. We propose a discontinuous Galerkin approximation of the variational formulation discussed in [8]. We showcase its advantages and good computational performance with configurations of interest in both engineering and medicine and either Dirichlet or free boundary conditions. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free