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Contact, impact and rolling of a nonlinear elastic body on rigid foundations
Department of Mechanical Engineering School of Engineering, Jönköping University, Jönköping, Sweden.ORCID iD: 0000-0001-6821-5727
2005 (English)In: Multibody Dynamics 2005: ECCOMAS Thematic Conference, 2005Conference paper, Published paper (Refereed)
Resource type
Text
Abstract [en]

In this paper a method for frictional contact, impact and rolling of a two-dimensional hyperelastic body on rigid foundations is presented. A total Lagrangian formulation of the system is given. The elastic properties of the body are defined by coupling the second Piola-Kirchhoff stress to the Green-Lagrange strain via the Kirchhoff-St.Venant law. The rigid supports are described by smooth functions. By introducing the mean value impulses, these functions are utilized to formulate the contact/impact laws. The support functions appear explicitly in the variational formulation of Signorini, and implicitly in the maximal dissipation principle of Coulomb. An attractive property of this approach is that no search algorithm is needed. Another attractive property is that the normal and tangential directions of the supports are well defined. The above constitutive assumptions together with the law of motion, which is written on velocity form, define the governing equations of the system. The governing equations are solved by a nonsmooth Newton method. This is performed by following the augmented Lagrangian approach and deriving the consistent stiffness matrix as well as the contact stiffness matrices. The method is implemented in TriLab. TriLab is a toolbox for simulating contact problems. TriLab is developed using Matlab and Visual Fortran. The Fortran code is linked to Matlab as mex-files. The code is vectorized and the sparsity is utilized. By using TriLab, the presented method will be demonstrated by solving structural dynamic contact problems, impact problems as well as rolling contact problems

Place, publisher, year, edition, pages
2005.
Keywords [en]
Contact, Impact, Friction, Nonlinear elasticity, Newton’s method
National Category
Mechanical Engineering Applied Mechanics
Research subject
Mechanical Engineering
Identifiers
URN: urn:nbn:se:oru:diva-48303OAI: oai:DiVA.org:oru-48303DiVA, id: diva2:904460
Conference
II International Conference on Advances in Computational Multibody Dynamics, Madrid, Spain, June 21-24, 2005
Available from: 2007-04-26 Created: 2016-02-15 Last updated: 2017-10-17Bibliographically approved

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Strömberg, Niclas

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf