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A consistent tangent stiffness matrix for three‐dimensional non‐linear contact analysis
Author(s) -
Parisch H.
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620280807
Subject(s) - tangent stiffness matrix , tangent , lagrange multiplier , stiffness matrix , stiffness , kinematics , mathematics , quadratic equation , contact analysis , matrix (chemical analysis) , convergence (economics) , rate of convergence , finite element method , mathematical analysis , geometry , mathematical optimization , structural engineering , computer science , engineering , materials science , physics , classical mechanics , computer network , channel (broadcasting) , economics , composite material , economic growth
A consistent tangent stiffness matrix for the analysis of non‐linear contact problems is presented. The associated element has three or four nodes and establishes contact between three‐dimensional structures like solids and shells. It accounts for the non‐linear kinematics of large deformation analysis and guarantees a quadratic convergence rate. Two formulations, the penalty method and the Lagrange multiplier method, are investigated.