DG approach to large bending plate deformations with isometry constraint
Keyword(s):
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.
Surface energy-enriched gradient elastic Kirchhoff plate model and a novel weak-form solution scheme
2021 ◽
Vol 85
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pp. 104118
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2018 ◽
Vol 346
(12)
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pp. 1216-1232
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2009 ◽
Vol 46
(13)
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pp. 2757-2764
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2018 ◽
Vol 32
(3)
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pp. 621-645
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2019 ◽
Vol 346
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pp. 913-951
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2015 ◽
Vol 28
(1-2)
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pp. 195-213
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2016 ◽
Vol 23
(5)
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pp. 1253-1263
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