Stability of rods with unilateral constraints, a finite element solution

DOI10.1016/0045-7949(84)90220-7zbMath0548.73055OpenAlexW2072483646WikidataQ64017470 ScholiaQ64017470MaRDI QIDQ3340280

Erwin Stein, Peter Wriggers

Publication date: 1984

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(84)90220-7

zbMATH Keywords

rotationsunilateral constraintslarge displacementscritical loadsincremental computation processrestriction to small strainsTimoshenko's bending theoryupdated-Lagrangian

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) Stability of dynamical problems in solid mechanics (74H55) Numerical and other methods in solid mechanics (74S99) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items (7)

Nonlinear analysis of structural elements under unilateral contact constraints by a Ritz-type approach ⋮ Algorithms for nonlinear contact constraints with application to stability problems of rods and shells ⋮ The post-buckling response of a bi-laterally constrained column. ⋮ Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation ⋮ Nonlinear stability-analysis of shell and contact-problems including branch-switching ⋮ On geometrically nonlinear contact problems with friction ⋮ The constrained buckling problem of geometrically imperfect beams: a mathematical approach for the determination of the critical instability points

This page was built for publication: Stability of rods with unilateral constraints, a finite element solution