A finite element procedure for rigorous numerical enclosures on the limit load in the analysis of multibody structures

DOI10.1016/j.cma.2009.09.018zbMath1231.74429OpenAlexW2035845219MaRDI QIDQ658706

Mark Ainsworth, L. Angela Mihai

Publication date: 8 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.cma.2009.09.018

zbMATH Keywords

linear elasticityfinite elementsmathematical programmingcontact problemslimit loadmasonry structures

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Fracture and damage (74R99)

Related Items (3)

Guaranteed Upper and Lower Bounds on the Uniform Load of Contact Problems in Elasticity ⋮ A projected Newton algorithm for the dual convex program of elastoplasticity ⋮ Complementarity framework for non-linear dynamic analysis of skeletal structures with softening plastic hinges

Cites Work

• An adaptive multi-scale computational modelling of Clare College Bridge
• A comparison of solvers for linear complementarity problems arising from large-scale masonry structures.
• Solution of variational inequalities in mechanics
• Adaptive search in discrete limit analysis problems
• Limit analysis of frictional block assemblies as a mathematical program with complementarity constraints
• On a solution of a generalized semi-coercive contact problem in thermo-elasticity
• Mixed finite elements for elasticity
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• The arnold-winther mixed FEM in linear elasticity. I: Implementation and numerical verification
• An adaptive multi-scale approach to the modelling of masonry structures
• Mesh adaptive computation of upper and lower bounds in limit analysis
• Modeling and numerical analysis of masonry structures
• Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading
• Contact Mechanics
• Limit analysis of structures formed from rigid blocks
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Computational Contact Mechanics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A finite element procedure for rigorous numerical enclosures on the limit load in the analysis of multibody structures