Research in Engineering and Aviation

Application of Meshless Integral Method in Soil Mechanics

August 2011

Author(s): J. Ma, J. Summers, P. Joseph

Journal: Proceeding of ASME IDETC/CIE 2011-47046. 31th Computers and Information in Engineering Conference (CIE) (part A and B), pp. 3-13. Washington, D.C., August 2011. DOI: 10.1115/DETC2011-47046


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.