A strong form meshfree collocation method for frictional contact on a rigid obstacle

Ashkan Almasi, Tae Yeon Kim, Tod A. Laursen, Jeong Hoon Song

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

In this work, we present a strong form meshfree collocation method for frictional contact problems. Frictional contact constraints are included in the strong form force balance equation as part of Neumann boundary conditions. The equation is then directly discretized with the precomputed derivative operators obtained from moving least-squares approximation using Taylor expansion of the displacement field through point-wise computations at collocation points. The accuracy and effectiveness of the method are examined via several benchmark frictional and frictionless contact problems using non-uniformly distributed collocation points. Numerical results are also compared with analytical and finite element solutions.

Original languageBritish English
Article number112597
JournalComputer Methods in Applied Mechanics and Engineering
Volume357
DOIs
StatePublished - 1 Dec 2019

Keywords

  • Adaptivity
  • frictional contact
  • Meshfree
  • Point collocation
  • Signorini problem
  • Strong form

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