Abstract
AbstractIn this study, the application of a numerical technique referred to as partial node‐based smoothed finite element method (PNS‐FEM) in flow‐deformation analysis of problems in geomechanics is presented. The PNS‐FEM is developed by augmenting the computation of the stiffness and permeability matrices of the domain in the linear finite element method (FEM) with partial nodal strain smoothing. The PNS‐FEM takes advantage of contradicting errors of the solutions of the linear FEM and the node‐based smooth point interpolation method (NSPIM) to yield close‐to‐exact solutions. The formulation of the PNS‐FEM and the steps required to develop a PNS‐FEM code from an FEM code are thoroughly presented. The performance of the PNS‐FEM is then examined through five numerical examples concerning linear and nonlinear porous materials undergoing various types of loading. The results show that partial nodal smoothing is a very simple, yet effective, technique to considerably improve the performance of the linear FEM in coupled problems of geomechanics.
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