A Fully Nonlinear Beam Model of Bernoulli–Euler Type
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Publication:5115152
DOI10.1007/978-3-030-33520-5_5zbMath1445.74038OpenAlexW2990383466MaRDI QIDQ5115152
Sascha Florian Maassen, Paulo de Mattos Pimenta, Cátia da Costa e Silva, Jörg Schröder
Publication date: 29 June 2020
Published in: Novel Finite Element Technologies for Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-33520-5_5
deformation gradientPiola-Kirchhoff stress tensorcubic Hermitian interpolationtwo-node finite element
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)
Uses Software
Cites Work
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- Invariant Hermitian finite elements for thin Kirchhoff rods. I: The linear plane case
- B-spline interpolation of Kirchhoff-Love space rods
- An exact conserving algorithm for nonlinear dynamics with rotational DOFs and general hyperelasticity. II: Shells
- A geometrically-exact rod model incorporating shear and torsion-warping deformation
- Extension of non-linear beam models with deformable cross sections
- An exact conserving algorithm for nonlinear dynamics with rotational DOFs and general hyperelasticity. I: Rods
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- A three-dimensional finite-strain rod model. II. Computational aspects
- Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. Part I. Quasistatic problems
- Formulations of finite elasticity with independent rotations
- The (symmetric) Hessian for geometrically nonlinear models in solid mechanics: Intrinsic definition and geometric interpretation
- A triangular finite shell element based on a fully nonlinear shell formulation
- An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods
- An excursion into large rotations
- Nonlinear isogeometric spatial Bernoulli beam
- On one-dimensional finite-strain beam theory: the plane problem
- An isogeometric implicit \(G^1\) mixed finite element for Kirchhoff space rods
- Automation of Finite Element Methods
- A Fully Nonlinear Thin Shell Model of Kirchhoff-Love Type
- Shell curvature as an initial deformation: A geometrically exact finite element approach
- Kirchhoff’s problem for nonlinearly elastic rods
- Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
- Finite element of slender beams in finite transformations: a geometrically exact approach
- On One‐Dimensional Large‐Displacement Finite‐Strain Beam Theory
