Absolute nodal coordinate formulation of tetrahedral solid element

DOI10.1007/s11071-017-3389-1zbMath1398.65254OpenAlexW2591008683MaRDI QIDQ1991812

Chang-Wan Kim, Oleg Dmitrochenko, Alexander Olshevskiy, Hyun-Ik Yang

Publication date: 30 October 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3389-1

zbMATH Keywords

finite element methodlarge displacementflexible multibody dynamicsabsolute coordinate formulationtetrahedral solid element

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Unnamed Item
• A triangular plate element 2343 using second-order absolute-nodal-coordinate slopes: numerical computation of shape functions
• A new locking-free formulation for planar, shear deformable, linear and quadratic beam finite elements based on the absolute nodal coordinate formulation
• A geometrically exact beam element based on the absolute nodal coordinate formulation
• Definition of the slopes and the finite element absolute nodal coordinate formulation
• Generalization of plate finite elements for absolute nodal coordinate formulation
• Improvement on the 10-node tetrahedral element for three-dimensional problems
• Flexible multibody systems with large deformations and nonlinear structural damping using absolute nodal coordinates
• The simplest 3-, 6- and 8-noded fully-parameterized ANCF plate elements using only transverse slopes
• Analysis of thin beams and cables using the absolute nodal co-ordinate formulation
• A thick anisotropic plate element in the framework of an absolute nodal coordinate formulation
• Finite elements using absolute nodal coordinates for large-deformation flexible multibody dynamics
• Dynamics of Multibody Systems

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