Problems associated with the use of Cayley transform and tangent scaling for conserving energy and momenta in the Reissner-Simo beam theory
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Publication:4785064
DOI10.1002/cnm.531zbMath1022.74019OpenAlexW2095788027MaRDI QIDQ4785064
M. A. Crisfield, Gordan Jelenić
Publication date: 17 December 2002
Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cnm.531
energy conservationtime-stepping schemesmomentum conservationconserving algorithmsstrain invarianceCayley transformationsincremental tangent-scaled rotationslarge three-dimensional rotationsReissner-Simo beam theory
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)
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Cites Work
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- On finite deformations of space-curved beams
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- Completely conservative, covariant numerical methodology
- Nonlinear dynamics of shells: Theory, finite element formulation, and integration schemes
- Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics
- Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
- Kirchhoff’s problem for nonlinearly elastic rods
- Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
- A co‐rotational element/time‐integration strategy for non‐linear dynamics
- Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms