LDG approximation of large deformations of prestrained plates
نویسندگان
چکیده
• Formal derivation of prestrained hyper-elastic plates model. Novel reformulation amenable to variational approximation methods. finite element methods based on reconstructed Hessians. Insightful numerical experiments. A reduced model for large deformations consists minimizing a second order bending energy subject nonconvex metric constraint. The former involves the fundamental form middle plate and latter is restriction its first form. We discuss formal this along with an equivalent formulation that makes it computationally. propose local discontinuous Galerkin (LDG) approach hinges notion Hessian. design discrete gradient flows minimize ensuing problem find suitable initial deformation. present several insightful experiments, some practical interest, assess various computational aspects process.
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2022
ISSN: ['1090-2716', '0021-9991']
DOI: https://doi.org/10.1016/j.jcp.2021.110719