Mixed finite element solutions to contact problems of nonlinear Gao beam on elastic foundation

DOI10.1016/j.nonrwa.2014.09.012zbMath1326.74075OpenAlexW1977227028MaRDI QIDQ475035

J. Herrera, Sumit K. Garg

Publication date: 25 November 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2014.09.012

zbMATH Keywords

finite element methodWinkler foundationmixed complementarity problemnormal compliancenonlinear Gao beam

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Interior-point methods (90C51) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (10)

Solution of contact problems for Gao beam and elastic foundation ⋮ Optimal thickness distribution of stepped nonlinear Gao beam ⋮ Optimal control of vibrations of a dynamic Gao beam in contact with a reactive foundation ⋮ An extended 2D Gao beam model ⋮ Implicit analytic solutions for a nonlinear fractional partial differential beam equation ⋮ Combining finite element and analytical methods to contact problems of 3D structure on soft foundation ⋮ \( \mathcal{C}^0\) interior penalty methods for a dynamic nonlinear beam model ⋮ Solution of contact problems for nonlinear Gao beam and obstacle ⋮ Robust iterative solvers for Gao type nonlinear beam models in elasticity ⋮ Optimal control of vibrations of two nonlinear Gao beams connected with a joint

Cites Work

• Unilateral elastic subsoil of Winkler's type: Semi-coercive beam problem.
• Finite deformation beam models and triality theory in dynamical post-buckling analysis
• Nonlinear elastic beam theory with application in contact problems and variational approaches
• Analysis and simulations of a nonlinear elastic dynamic beam
• Analysis and Simulations of a Contact Problem for a Nonlinear Dynamic Beam with a Crack
• Mixed and Hybrid Finite Element Methods
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Quasistatic viscoelastic contact with friction and wear diffusion
• An Introduction to Nonlinear Finite Element Analysis
• A direct constraint-Trefftz FEM for analysing elastic contact problems
• Analysis and Approximation of Contact Problems with Adhesion or Damage
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