Finite element computation of hyperelastic rods in large displacements

DOI10.1051/m2an/1992260505951zbMath0758.73048OpenAlexW2491748254MaRDI QIDQ4015029

Le Tallec, Patrick, Saloua Mani, Fernando Alves Rochinha

Publication date: 22 October 1992

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193678

zbMATH Keywords

torsionflexiontractionNewton's type procedureorthogonal directors

Mathematics Subject Classification ID

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

Related Items (4)

Deformation of framed curves with boundary conditions ⋮ Numerical solution of a bending-torsion model for elastic rods ⋮ Analysis of contact of elastic rods subject to large displacements ⋮ Design sensitivity for a hyperelastic rod in large displacement with respect to its midcurve shape

Cites Work

• A finite strain beam formulation. The three-dimensional dynamic problem. I
• A three-dimensional finite-strain rod model. II. Computational aspects
• Large buckled states of nonlinearly elastic rods under torsion, thrust, and gravity
• Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells
• The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity
• Polynomial Approximation of Functions in Sobolev Spaces
• Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
• Large deflection of cantilever beams
• Unnamed Item

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