Geometrically exact covariant approach for contact between curves
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Publication:658869
DOI10.1016/j.cma.2010.04.012zbMath1231.74325OpenAlexW2006126085MaRDI QIDQ658869
Alexander Konyukhov, K. H. Schweizerhof
Publication date: 8 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.2010.04.012
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05)
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Cites Work
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- High-order finite elements for shells
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Incorporation of contact for high-order finite elements in covariant form
- Hermite polynomial smoothing in beam-to-beam frictional contact
- Frictional contact between 3D beams.
- Covariant description for frictional contact problems
- Contact formulation via a velocity description allowing efficiency improvements in frictionless contact analysis
- On finite element implementation of geometrically nonlinear Reissner's beam theory: Three-dimensional curved beam elements
- Covariant description of contact interfaces considering anisotropy for adhesion and friction. I: Formulation and analysis of the computational model
- Covariant description of contact interfaces considering anisotropy for adhesion and friction. II: Linearization, finite element implementation and numerical analysis of the model
- On the solvability of closest point projection procedures in contact analysis: analysis and solution strategy for surfaces of arbitrary geometry
- A special focus on 2D formulations for contact problems using a covariant description
- On a geometrical approach in contact mechanics
- Stress unilateral analysis of mooring cables
- EXISTENCE RESULTS FOR THE STATIC CONTACT PROBLEM WITH COULOMB FRICTION
- ON CONTACT BETWEEN THREE-DIMENSIONAL BEAMS UNDERGOING LARGE DEFLECTIONS
- Contact with friction between beams in 3-D space
- Contact between 3D beams with rectangular cross-sections
- Smooth Frictional Contact between Beams in 3D