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Remeshing strategies for large deformation problems with frictional contact and nearly incompressible materials

Publication ,  Journal Article
Zhang, Z; Dolbow, JE
Published in: International Journal for Numerical Methods in Engineering
March 2, 2017

We present a framework to efficiently solve large deformation contact problems with nearly incompressible materials by implementing adaptive remeshing. Specifically, nodally integrated elements are employed to avoid mesh locking when linear triangular or tetrahedral elements are used to facilitate mesh re-generation. Solution variables in the bulk and on contact surfaces are transferred between meshes such that accuracy is maintained and re-equilibration on the new mesh is possible. In particular, the displacement transfer in the bulk is accomplished through a constrained least squares problem based on nodal integration, while the transfer of contact tractions relies on parallel transport. Finally, a residual-based error indicator is chosen to drive adaptive mesh refinement. The proposed strategies are applicable to both two-dimensional or three-dimensional analysis and are demonstrated to be robust by a number of numerical examples. Copyright © 2016 John Wiley & Sons, Ltd.

Duke Scholars

Published In

International Journal for Numerical Methods in Engineering

DOI

EISSN

1097-0207

ISSN

0029-5981

Publication Date

March 2, 2017

Volume

109

Issue

9

Start / End Page

1289 / 1314

Related Subject Headings

  • Applied Mathematics
  • 40 Engineering
  • 09 Engineering
 

Citation

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Zhang, Z., & Dolbow, J. E. (2017). Remeshing strategies for large deformation problems with frictional contact and nearly incompressible materials. International Journal for Numerical Methods in Engineering, 109(9), 1289–1314. https://doi.org/10.1002/nme.5325
Zhang, Z., and J. E. Dolbow. “Remeshing strategies for large deformation problems with frictional contact and nearly incompressible materials.” International Journal for Numerical Methods in Engineering 109, no. 9 (March 2, 2017): 1289–1314. https://doi.org/10.1002/nme.5325.
Zhang Z, Dolbow JE. Remeshing strategies for large deformation problems with frictional contact and nearly incompressible materials. International Journal for Numerical Methods in Engineering. 2017 Mar 2;109(9):1289–314.
Zhang, Z., and J. E. Dolbow. “Remeshing strategies for large deformation problems with frictional contact and nearly incompressible materials.” International Journal for Numerical Methods in Engineering, vol. 109, no. 9, Mar. 2017, pp. 1289–314. Scopus, doi:10.1002/nme.5325.
Zhang Z, Dolbow JE. Remeshing strategies for large deformation problems with frictional contact and nearly incompressible materials. International Journal for Numerical Methods in Engineering. 2017 Mar 2;109(9):1289–1314.
Journal cover image

Published In

International Journal for Numerical Methods in Engineering

DOI

EISSN

1097-0207

ISSN

0029-5981

Publication Date

March 2, 2017

Volume

109

Issue

9

Start / End Page

1289 / 1314

Related Subject Headings

  • Applied Mathematics
  • 40 Engineering
  • 09 Engineering