DG approach to large bending plate deformations with isometry constraint Academic Article

abstract

• 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.

authors

• Bonito, Andrea

published proceedings

• MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

author list (cited authors)

• Bonito, A., Nochetto, R. H., & Ntogkas, D.

citation count

• 15

complete list of authors

• Bonito, Andrea||Nochetto, Ricardo H||Ntogkas, Dimitrios

publication date

• January 2021

publisher

• World Scientific Publishing  Publisher

keywords

• Discontinuous Galerkin
• Gamma-convergence
• Isometry Constraint
• Iterative Solution
• Nonlinear Elasticity
• Plate Bending

Digital Object Identifier (DOI)

• 10.1142/S0218202521500044

start page

• 133

end page

• 175

volume

• 31

issue

• 01

URL

• http://dx.doi.org/10.1142/s0218202521500044