An augmentation technique for large deformation frictional contact problems

• Published in: International journal for numerical methods in engineering Vol. 94; no. 5; pp. 513 - 534
• Main Authors: Franke, M., Hesch, C., Betsch, P.
• Format: Journal Article
• Language: English
• Published: Chichester Blackwell Publishing Ltd 04-05-2013; Wiley; Wiley Subscription Services, Inc
• Subjects: Algebra; Angular momentum; Augmentation; Classical transport; Contact; Coulomb's law; Deformation; Exact sciences and technology; frictional contact; Fundamental areas of phenomenology (including applications); Lagrange multipliers; Linear and multilinear algebra, matrix theory; Mathematical analysis; Mathematical models; Mathematics; Mechanical contact (friction...); node-to-surface method; Physics; Sciences and techniques of general use; Size reduction; Solid mechanics; Statistical physics, thermodynamics, and nonlinear dynamical systems; Structural and continuum mechanics; Transport processes; High strain; Mechanical contact; augmentation; Modeling; frictional contact; Dry friction; node-to-surface method; Conservation law; Lagrange multiplier; Algebraic system; Contact stress; Lagrange multipliers; Kinematics; Algebraic equation; Node method; Coulomb's law; Sliding friction
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.4466

SUMMARYThe present work deals with a new approach to frictional large deformation contact problems. In particular, a new formulation of the frictional kinematics is introduced that is based on a specific augmentation technique used for the introduction of additional variables. This augmentation technique substantially simplifies the formulation of the whole system. A size reduction of the resulting system of algebraic equations is proposed. Consequently, the augmentation technique does not lead to an increase in size of the algebraic system of equations to be ultimately solved. The size reduction retains the simplicity of the formulation and preserves important conservation laws such as conservation of angular momentum. Copyright © 2013 John Wiley & Sons, Ltd.