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u–w formulation for dynamic problems in large deformation regime solved through an implicit meshfree scheme

Navas, P; Sanavia, L; López-Querol, MS; Yu, RC; (2018) u–w formulation for dynamic problems in large deformation regime solved through an implicit meshfree scheme. Computational Mechanics , 62 (4) pp. 745-760. 10.1007/s00466-017-1524-y. Green open access

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Abstract

Solving dynamic problems for fluid saturated porous media at large deformation regime is an interesting but complex issue. An implicit time integration scheme is herein developed within the framework of the u–w (solid displacement–relative fluid displacement) formulation for the Biot’s equations. In particular, liquid water saturated porous media is considered and the linearization of the linear momentum equations taking into account all the inertia terms for both solid and fluid phases is for the first time presented. The spatial discretization is carried out through a meshfree method, in which the shape functions are based on the principle of local maximum entropy LME. The current methodology is firstly validated with the dynamic consolidation of a soil column and the plastic shear band formulation of a square domain loaded by a rigid footing. The feasibility of this new numerical approach for solving large deformation dynamic problems is finally demonstrated through the application to an embankment problem subjected to an earthquake.

Type: Article
Title: u–w formulation for dynamic problems in large deformation regime solved through an implicit meshfree scheme
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s00466-017-1524-y
Publisher version: http://dx.doi.org/10.1007/s00466-017-1524-y
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Biot’s equations, Meshfree, Implicit schemes, u–w formulation, Hyperelastoplasticity
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10038863
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