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Application of Meshless Integral Method in Soil Mechanics

[+] Author Affiliations
Jeff Ma

Saint Louis University, Saint Louis, MO

Joshua David Summers, Paul F. Joseph

Clemson University, Clemson, SC

Paper No. DETC2011-47046, pp. 3-13; 11 pages
doi:10.1115/DETC2011-47046
From:
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 31st Computers and Information in Engineering Conference, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5479-2
  • Copyright © 2011 by ASME

abstract

An elastic-perfect plastic model associated with the Mohr-Coulomb yield criterion is applied to describe the behavior of soil material in the framework of Meshless Integral Method (MIM) [1][2]. In MIM, we obtained the governing integral equation from the weak form of elastoplasticity over a local sub-domain and the meshless function approximation is realized by using moving least-squares approximation. The advantages of this method are efficient removing of singularity by subtraction method, more accurate handling of the weak singularity, and the exact imposition of essential boundary conditions. Two flow rules of Mohr-Coulomb yield criterion are considered: associative and non-associative. Solution algorithm for elastoplastic analysis is given in detail. The results obtained through these two flow rules are compared and the meshless results are also compared to the FEM results. The numerical results show the accuracy and robustness of the meshless integral method in soil mechanics.

Copyright © 2011 by ASME
Topics: Soil mechanics

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