POST-BUCKLING ANALYSIS WITH FRICTIONAL CONTACTS COMBINING COMPLEMENTARITY RELATIONS AND AN ARC-LENGTH METHOD

DOI<1161::AID-NME898>3.0.CO;2-2 10.1002/(SICI)1097-0207(19960415)39:7<1161::AID-NME898>3.0.CO;2-2zbMath0946.74024OpenAlexW2016395778MaRDI QIDQ3122351

Byung Man Kwak, Jeong Seo Koo

Publication date: 17 October 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19960415)39:7<1161::aid-nme898>3.0.co;2-2

zbMATH Keywords

linear complementarity problemequilibrium pathsarc-length methodproportional loadingpost-buckling analysissnap-bucklinggeometrically nonlinear structuresfrictional contact constraints

Mathematics Subject Classification ID

Related Items (4)

Nonlinear analysis of structural elements under unilateral contact constraints by a Ritz-type approach ⋮ Arc-length method for frictional contact problems using mathematical programming with complementarity constraints ⋮ Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation ⋮ The constrained buckling problem of geometrically imperfect beams: a mathematical approach for the determination of the critical instability points

Cites Work

• Algorithms for nonlinear contact constraints with application to stability problems of rods and shells
• On discrete and discretized nonlinear elastic structures in unilateral contact (stability, uniqueness and variational principles)
• Path following and critical points for contact problems
• The generalized linear complementarity problem and an algorithm to find all its solutions
• Discrete approximations related to nonlinear theories of solids
• A numerical analysis of contact and limit-point behavior in a class of problems of finite elastic deformation
• Finite deformation post-buckling analysis involving inelasticity and contact constraints
• A total Lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part II: Arches, frames and axisymmetric shells
• Improved arc length orthogonality methods for nonlinear finite element analysis
• An implicit enumeration procedure for the general linear complementarity problem
• A finite element method for elasto-plastic structures and contact problems by parametric quadratic programming
• A fast incremental/iterative solution procedure that handles “snap-through”
• Complementarity Problem Formulation of Three-Dimensional Frictional Contact
• Solution of large displacement contact problems with friction using Newton's method for generalized equations
• Sensitivity analysis for automatic loading in frictional contact formulated by complementarity
• Bimatrix Equilibrium Points and Mathematical Programming
• The Application of Newton’s Method to the Problem of Elastic Stability

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