Finite particle method for static deformation problems solved using JFNK method

Title: Finite particle method for static deformation problems solved using JFNK method
Creator: Chen, Ding; Huang, Wenxiong; Lyamin, Andrei
Relation: Computers and Geotechnics Vol. 122, Issue June 2020, no. 103502
Publisher Link: http://dx.doi.org/10.1016/j.compgeo.2020.103502
Publisher: Elsevier
Resource Type: journal article
Date: 2020
Description: In this work, the Finite Particle Method (FPM) which is a typical meshfree particle method is formulated for static deformation and plastic flow problems. The novel formulation utilizes the Lagrangian-type kernel, which guarantees the method being free from the tension instability. A pseudo-viscosity is introduced into the particle system to prevent the hourglass phenomenon in the numerical procedure. The nonlinear system of governing equations is solved with implicit time integration scheme. For numerical efficiency the Jacobian-Free Newton-Krylov (JFNK) method is applied to obtain the solution for each time step. Numerical examples are provided to demonstrate the validity and the effectiveness of the method in capturing finite deformation with moderate distortion.
Subject: finite particle method (FPM); equilibrium problem; implicity integration; Jacobian-free Newton-Krylov (JFNK)
Identifier: http://hdl.handle.net/1959.13/1436195
Identifier: uon:39944
Identifier: ISSN:0266-352X
Language: eng
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