An algorithm for enforcement of contact constraints in quasistatic applications using matrix-free solution algorithms

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Description

A contact enforcement algorithm has been developed for matrix-free quasistatic finite element techniques. Matrix-free (iterative) solution algorithms such as nonlinear Conjugate Gradients (CG) and Dynamic Relaxation (DR) are distinctive in that the number of iterations required for convergence is typically of the same order as the number of degrees of freedom of the model. From iteration to iteration the contact normal and tangential forces vary significantly making contact constraint satisfaction tenuous. Furthermore, global determination and enforcement of the contact constraints every iteration could be questioned on the grounds of efficiency. This work addresses this situation by introducing an intermediate iteration ... continued below

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32 p.

Creation Information

Heinstein, M.W. October 1, 1997.

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  • Heinstein, M.W. Sandia National Labs., Albuquerque, NM (United States). Engineering Mechanics and Material Modeling Dept.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

A contact enforcement algorithm has been developed for matrix-free quasistatic finite element techniques. Matrix-free (iterative) solution algorithms such as nonlinear Conjugate Gradients (CG) and Dynamic Relaxation (DR) are distinctive in that the number of iterations required for convergence is typically of the same order as the number of degrees of freedom of the model. From iteration to iteration the contact normal and tangential forces vary significantly making contact constraint satisfaction tenuous. Furthermore, global determination and enforcement of the contact constraints every iteration could be questioned on the grounds of efficiency. This work addresses this situation by introducing an intermediate iteration for treating the active gap constraint and at the same time exactly (kinematically) enforcing the linearized gap rate constraint for both frictionless and frictional response.

Physical Description

32 p.

Notes

OSTI as DE98001090

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  • Other Information: PBD: Oct 1997

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  • Other: DE98001090
  • Report No.: SAND--97-2629
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/554827 | External Link
  • Office of Scientific & Technical Information Report Number: 554827
  • Archival Resource Key: ark:/67531/metadc691168

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Creation Date

  • October 1, 1997

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

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  • April 12, 2016, 9:37 p.m.

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Heinstein, M.W. An algorithm for enforcement of contact constraints in quasistatic applications using matrix-free solution algorithms, report, October 1, 1997; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc691168/: accessed August 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.