Hierarchical three dimensional curved beam element based on \(p\)-version

DOI10.1007/BF00370042zbMath0735.73082MaRDI QIDQ1181572

Steve H. Nguyen, Karan S. Surana

Publication date: 27 June 1992

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

principle of virtual worktensor productLagrange interpolating polynomialsnodal variable operatorsone-dimensional hierarchical approximation functionsarbitrary polynomial ordersaxial and transverse directionelement displacement approximationlinear static analysis

Mathematics Subject Classification ID

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

Related Items (1)

Error estimates and adaptive finite element methods

Cites Work

• Hierarchies of conforming finite elements for plane elasticity and plate bending
• Three dimensional curved shell finite elements for heat conduction
• Geometrically non‐linear formulation for three dimensional curved beam elements with large rotations
• A variable thickness, curved beam and shell stiffening element with shear deformations
• Large displacement analysis of three-dimensional beam structures
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