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A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part II: Intersecting interfaces

Publication ,  Journal Article
Annavarapu, C; Hautefeuille, M; Dolbow, JE
Published in: Computer Methods in Applied Mechanics and Engineering
December 1, 2013

We extend the weighted Nitsche's method proposed in the first part of this study to include multiple intersecting embedded interfaces. These intersections arise either inside a computational domain - where two internal interfaces intersect; or on the boundary of the computational domain - where an internal interface intersects with the external boundary. We propose a variational treatment of both the interfacial kinematics and the external Dirichlet constraints within Nitsche's framework. We modify the numerical analysis to account for these intersections and provide an explicit expression for the weights and the method parameters that arise in the Nitsche variational form in the presence of junctions. Finally, we demonstrate the performance of the method for both perfectly-tied interfaces and perfectly-plastic sliding interfaces through several benchmark examples. © 2013 Elsevier B.V.

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Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

December 1, 2013

Volume

267

Start / End Page

318 / 341

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

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Annavarapu, C., Hautefeuille, M., & Dolbow, J. E. (2013). A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part II: Intersecting interfaces. Computer Methods in Applied Mechanics and Engineering, 267, 318–341. https://doi.org/10.1016/j.cma.2013.08.008
Annavarapu, C., M. Hautefeuille, and J. E. Dolbow. “A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part II: Intersecting interfaces.” Computer Methods in Applied Mechanics and Engineering 267 (December 1, 2013): 318–41. https://doi.org/10.1016/j.cma.2013.08.008.
Annavarapu C, Hautefeuille M, Dolbow JE. A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part II: Intersecting interfaces. Computer Methods in Applied Mechanics and Engineering. 2013 Dec 1;267:318–41.
Annavarapu, C., et al. “A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part II: Intersecting interfaces.” Computer Methods in Applied Mechanics and Engineering, vol. 267, Dec. 2013, pp. 318–41. Scopus, doi:10.1016/j.cma.2013.08.008.
Annavarapu C, Hautefeuille M, Dolbow JE. A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part II: Intersecting interfaces. Computer Methods in Applied Mechanics and Engineering. 2013 Dec 1;267:318–341.
Journal cover image

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

December 1, 2013

Volume

267

Start / End Page

318 / 341

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences