A Newton method for rigid body frictional impact with multiple simultaneous impact points

DOI10.1016/S0045-7825(01)00272-9zbMath1011.70003MaRDI QIDQ5956795

Lars-Göran Johansson

Publication date: 2 June 2003

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

zbMATH Keywords

Newton's methodkinematic relationsrigid bodynumerical algorithmCoulomb's law of frictiondynamic frictionfrictional impactimpenetrability conditionmultiple contact points

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Problems involving a system of particles with friction (70F40) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (5)

Topology optimization of structures in unilateral contact ⋮ Combining vibrational linear-by-part dynamics and kinetic-based decoupling of the dynamics for multiple elastoplastic smooth impacts ⋮ Combining vibrational linear-by-part dynamics and kinetic-based decoupling of the dynamics for multiple smooth impacts with redundancy ⋮ Energetically consistent model of slipping and sticking frictional impacts in multibody systems ⋮ A method for structural dynamic contact problems with friction and wear

Uses Software

• LAPACK
• RRQR
• toms/782

Cites Work

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• A mixed formulation for frictional contact problems prone to Newton like solution methods
• A 3-D discrete-element method for dry granular flows of ellipsoidal particles
• Nonsmooth impact mechanics. Models, dynamics and control
• A linear complementarity algorithm for rigid body impact with friction
• Newton's Method for B-Differentiable Equations
• Study of Frictional Impact Using a Nonsmooth Equations Solver
• LAPACK Users' Guide
• Formulation and comparison of algorithms for frictional contact problems
• Computing rank-revealing QR factorizations of dense matrices
• Algorithm 782
• On Rank-Revealing Factorisations
• Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization

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