Solving unilateral problems for beams by finite element methods

DOI10.1016/0045-7825(86)90035-6zbMath0587.73112OpenAlexW2029496234MaRDI QIDQ1072778

Javier Fernández, Alfredo Bermúdez

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0045-7825(86)90035-6

zbMATH Keywords

existenceerror estimatesuniquenessflexionconforming finite elementsconcentrated loadsimply supported beamregularity resultsdistributed loadrigid or elastic obstacletwo-dimensional fourth-order variational inequalities

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Cites Work

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• Duality methods for solving variational inequalities
• The constrained elastic beam
• Finite-element Approximations and Iterative Solutions of a Fourth-order Elliptic Variational Inequality
• Large Displacement Calculations of Flexible Pipelines by Finite Element and Nonlinear Programming Methods
• A mixed finite element solution of some biharmonic unilateral problem
• Analysis of a Mixed Finite Element Method for Elasto-Plastic Plates

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