Modeling and numerical treatment of elastic rods with frictionless self-contact

DOI10.1016/j.cma.2009.08.005zbMath1230.74100OpenAlexW2064234854MaRDI QIDQ660414

Mourad Chamekh, Maher Moakher, Saloua Mani-Aouadi

Publication date: 1 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.08.005

zbMATH Keywords

elastic rodsfinite elementaugmented Lagrangian methodpenalty methodself-contactcontact distance

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (17)

Rotational self-friction problem of elastic rods ⋮ Contact dynamics of elasto-plastic thin beams simulated via absolute nodal coordinate formulation ⋮ Analysis of static frictionless beam-to-beam contact using mortar method ⋮ Stability of elastic rods with self-contact ⋮ Numerical method for solution of pointwise contact between surfaces ⋮ Contact-friction modeling within elastic beam assemblies: an application to knot tightening ⋮ A study of contact methods in the application of large deformation dynamics in self-contact beam ⋮ Morphoelastic rods. II: Growing birods ⋮ A geometrically exact isogeometric beam for large displacements and contacts ⋮ A finite element approach for the line-to-line contact interaction of thin beams with arbitrary orientation ⋮ A unified approach for beam-to-beam contact ⋮ A master-surface to master-surface formulation for beam to beam contact. II: Frictional interaction ⋮ An isogeometric collocation method for frictionless contact of Cosserat rods ⋮ Contact between spheres and general surfaces ⋮ Design and Stability of a Family of Deployable Structures ⋮ A mortar formulation for frictionless line-to-line beam contact ⋮ Computing pointwise contact between bodies: a class of formulations based on master-master approach

Cites Work

• Unnamed Item
• Unnamed Item
• A single surface contact algorithm for the post-buckling analysis of shell structures
• A three-dimensional finite-strain rod model. II. Computational aspects
• On the dynamics in space of rods undergoing large motions - A geometrically exact approach
• A mixed formulation for frictional contact problems prone to Newton like solution methods
• Instability and self-contact phenomena in the writhing of clamped rods.
• Analysis of contact of elastic rods subject to large displacements
• New smoothing procedures in contact mechanics
• Complex spatial equilibria of \(u\)-joint supported cables under torque, thrust and self-weight
• On finite element implementation of geometrically nonlinear Reissner's beam theory: Three-dimensional curved beam elements
• Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics
• Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables
• A double-strand elastic rod theory
• Stability of Two Planar Loop Elasticas
• Level-Sets fields, placement and velocity based formulations of contact-impact problems
• An augmented lagrangian treatment of contact problems involving friction
• Global curvature, thickness, and the ideal shapes of knots
• Application of augmented Lagrangian techniques for non‐linear constitutive laws in contact interfaces
• A continuum‐based finite element formulation for the implicit solution of multibody, large deformation‐frictional contact problems
• Supercoiling of DNA plasmids: mechanics of the generalized ply
• Computational Contact Mechanics
• Nonlinear problems of elasticity
• Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids

This page was built for publication: Modeling and numerical treatment of elastic rods with frictionless self-contact