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An updated Lagrangian framework for Isogeometric Kirchhoff-Love thin-shell analysis
DOI:10.1016/j.cma.2021.113977.png)
Abstract
En 中文
We propose a comprehensive Isogeometric Kirchhoff-Love shell framework that is capable of undergoing large elasto-plastic deformations. Central to this development, we reformulate the governing thin-shell equations in terms of the mid-surface velocity degrees of freedom, accommodating the material response in the time-rate form while ensuring objectivity. To handle complex multipatch geometries, we propose a consistent penalty coupling technique for enforcing the continuity conditions at patch interfaces. Penalty is also employed to weakly enforce symmetry boundary conditions. A recently proposed non-local penalty contact is adopted as part of the formulation in order to handle complex dynamic crushing simulations. Numerical examples, ranging from static elasto-plastic shell benchmarks to highly dynamic crushing scenarios, validate the accuracy, efficiency and robustness of the proposed framework. (C) 2021 Elsevier B.V. All rights reserved.
Keywords:
Kirchhoff-Love shells
Updated Lagrangian formulation
3D constitutive laws
Penalty coupling
Crushing simulations
Isogeometric Analysis (IGA)
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