Strong form meshfree collocation method for frictional contact between a rigid pile and an elastic foundation

Ashkan Almasi, Tae Yeon Kim, Jeong Hoon Song

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, a strong form meshfree collocation method is developed for two-dimensional single-body frictional contact problems. In this approach, a point-wise Taylor series approximation and generalized moving least squares approach is used to construct numerical differential operators at discrete points within the domain. The differential operators are then used to spatially discretize and solve the governing partial differential equations. Contact constraint conditions are formulated with the penalty approach. To demonstrate the efficiency of the method, benchmark problems in frictionless and frictional contact relevant to a rigid pile and an elastic foundation contact are provided. The numerical results are also compared with the finite element solutions to verify robustness and accuracy of the method.

Original languageBritish English
Pages (from-to)791-807
Number of pages17
JournalEngineering with Computers
Volume39
Issue number1
DOIs
StatePublished - Feb 2023

Keywords

  • Frictional contact
  • Meshfree
  • Point collocation
  • Signorini problem
  • Strong form

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