United elements' method for general contact-impact problems

DOI10.1016/S0045-7825(01)00294-8zbMath1017.74071WikidataQ127063822 ScholiaQ127063822MaRDI QIDQ5958064

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Publication date: 28 August 2003

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

zbMATH Keywords

Newton-Raphson methodcontact constraintscontactor nodeenergy potential functionalnormal degree of freedomtarget element unbalanced forcestarget surface motionunited elements methodunited elements' stiffness matrix

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Impact in solid mechanics (74M20)

Cites Work

• A perturbed Lagrangian formulation for the finite element solution of contact problems
• Algorithms for nonlinear contact constraints with application to stability problems of rods and shells
• A two-level iteration method for solution of contact problems
• A finite element method for a class of contact-impact problems
• A solution method for general contact-impact problems
• A numerical analysis of a class of contact problems with friction in elastostatics
• Rudimentary considerations for adaptive gap/friction element based on the penalty method
• On a penalty formulation for contact-impact problems
• A dynamic contact buckling analysis by the penalty finite element method
• Finite deformation post-buckling analysis involving inelasticity and contact constraints
• A solution method for static and dynamic analysis of three-dimensional contact problems with friction
• A smoothing technique for reduced integration penalty methods in contact problems
• An augmented lagrangian treatment of contact problems involving friction
• Lagrange constraints for transient finite element surface contact
• Contact‐impact by the pinball algorithm with penalty and Lagrangian methods
• Lagrange multiplier approach for evaluation of friction in explicit finite‐element analysis
• A note on the treatment of frictionless contact between non‐smooth surfaces in fully non‐linear problems
• Finite‐deformation interface formulation for frictionless contact problems
• An augmented Lagrangian method for discrete large‐slip contact problems
• The use of ADINA for analysis of mines with explosive fills

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