Numerical investigation of the slope discontinuities in large deformation finite element formulations

DOI10.1007/S11071-008-9458-8zbMath1183.74292OpenAlexW2044247039MaRDI QIDQ2380580

Ahmed A. Shabana, Luis G. Maqueda

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1007/s11071-008-9458-8

zbMATH Keywords

large deformationsabsolute nodal coordinate formulationslope discontinuitiesgradient deficient finite elements

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

Uses Software

• BEAM189

Cites Work

• Large deflection analysis of a thin plate: computer simulations and experiments
• Slope discontinuities in the finite element absolute nodal coordinate formulation: gradient deficient elements
• Computer implementation of the absolute nodal coordinate formulation for flexible multibody dynamics
• A new flexible multibody beam element based on the absolute nodal coordinate formulation using the global shape function and the analytical mode shape function
• Analysis of thin beams and cables using the absolute nodal co-ordinate formulation
• Poisson modes and general nonlinear constitutive models in the large displacement analysis of beams
• On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part I
• Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
• Dynamics of Multibody Systems
• Computational Continuum Mechanics

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