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Explicit meshfree solution for large deformation dynamic problems in saturated porous media

Navas, P; Sanavia, L; López-Querol, S; Yu, RC; (2018) Explicit meshfree solution for large deformation dynamic problems in saturated porous media. Acta Geotechnica , 13 (2) pp. 227-242. 10.1007/s11440-017-0612-7. Green open access

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Abstract

In this paper a new methodology to simulate saturated soils subjected to dynamic loadings under large deformation regime (locally up to 40% in equivalent plastic strain) is presented. The coupling between solid and fluid phases is solved through the complete formulation of the Biot’s equations. The additional novelty lies in the employment of an explicit time integration scheme of the u−w (solid displacement–relative fluid displacement) formulation which enables us to take advantage of such explicit schemes. Shape functions based on the principle of maximum entropy implemented in the framework of Optimal Transportation Meshfree schemes are utilized to solve both elastic and plastic problems.

Type: Article
Title: Explicit meshfree solution for large deformation dynamic problems in saturated porous media
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s11440-017-0612-7
Publisher version: http://dx.doi.org/10.1007/s11440-017-0612-7
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 equation, Complete formulation, Meshfree, Explicit approach, Large strains
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/10038245
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