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Title: DG approach to large bending plate deformations with isometry constraint
We propose a new discontinuous Galerkin (dG) method for a geometrically nonlinear Kirchhoff plate model for large isometric bending deformations. The minimization problem is nonconvex due to the isometry constraint. We present a practical discrete gradient flow that decreases the energy and computes discrete minimizers that satisfy a prescribed discrete isometry defect. We prove [Formula: see text]-convergence of the discrete energies and discrete global minimizers. We document the flexibility and accuracy of the dG method with several numerical experiments.  more » « less
Award ID(s):
1817691 1908267
NSF-PAR ID:
10279427
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Mathematical Models and Methods in Applied Sciences
Volume:
31
Issue:
01
ISSN:
0218-2025
Page Range / eLocation ID:
133 to 175
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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