Meshfree Method Analysis of Biot's Consolidation Using Cell-Based Smoothed Point Interpolation Method

Abstract:

A set of cell-based smoothed point interpolation methods are proposed for the numerical analysis of Biot’s formulation. In the proposed methods, the problem domain is discretized using a triangular background mesh. Shape functions are constructed using either polynomial or radial point interpolation method (PIM), leading to the delta function property of shape functions and consequently, easy implementation of essential boundary conditions. The Biot’s equations are discretised in space and time. A variety of support domain selection schemes (T-schemes) are investigated. The accuracy and convergence rate of the proposed methods are examined by comparing the numerical results with the analytical solution for the benchmark problem of one dimensional consolidation.

• Periodical: Applied Mechanics and Materials (Volume 846)
• Pages: 409-414
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.846.409
• Online since: July 2016
• Authors: Arash Tootoonchi, Arman Khoshghalb*, Nasser Khalili
• Keywords: Biot’s Consolidation, Meshfree Method, Porous Media, Smoothed Point Interpolation Method, Three-Point Time Discretization

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