A two-director Cosserat rod model using unconstrained quaternions
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Publication:1669349
DOI10.1016/j.euromechsol.2013.08.006zbMath1406.74383OpenAlexW2061009686MaRDI QIDQ1669349
Publication date: 3 September 2018
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2013.08.006
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Kinematics of deformation (74A05)
Related Items (7)
Non-classical continuum theory for solids incorporating internal rotations and rotations of Cosserat theories ⋮ Micropolar shells with thickness inflation and independent micro‐rotations ⋮ Ordered rate constitutive theories for non-classical thermoviscoelastic solids with memory incorporating internal and Cosserat rotations ⋮ An isogeometric finite element formulation for geometrically exact Timoshenko beams with extensible directors ⋮ Ordered rate constitutive theories for thermoviscoelastic solids without memory incorporating internal and Cosserat rotations ⋮ Necessity of law of balance of moment of moments in non-classical continuum theories for solid continua ⋮ Knot types of generalized Kirchhoff rods
Cites Work
- Unnamed Item
- On the accuracy of shell models for torsional buckling of carbon nanotubes
- Consistent quaternion interpolation for objective finite element approximation of geometrically exact beam
- The interpolation of rotations and its application to finite element models of geometrically exact rods
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- A three-dimensional finite-strain rod model. II. Computational aspects
- Kinematics and dynamics of rigid and flexible mechanisms using finite elements and quaternion algebra
- On finite deformations of space-curved beams
- Flexural instabilities of elastic rods
- Bending instabilities of elastic tubes
- Statically and kinematically exact nonlinear theory of rods and its numerical verification
- Rethinking Quaternions
- A beam finite element non-linear theory with finite rotations
- Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
- On the differentiation of the Rodrigues formula and its significance for the vector‐like parameterization of Reissner–Simo beam theory
- Computational aspects of vector‐like parametrization of three‐dimensional finite rotations
- STRAIGHTFORWARD COMPUTATION OF SPATIAL EQUILIBRIA OF GEOMETRICALLY EXACT COSSERAT RODS
- On One‐Dimensional Large‐Displacement Finite‐Strain Beam Theory
- Nonlinear problems of elasticity
- Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point
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