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Optimal transportation meshfree method in geotechnical engineering problems under large deformation regime

Navas, P; López-Querol, MS; Yu, RC; Pastor, M; (2018) Optimal transportation meshfree method in geotechnical engineering problems under large deformation regime. International Journal for Numerical Methods in Engineering , 115 (10) pp. 1217-1240. 10.1002/nme.5841. Green open access

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Abstract

Meshfree methods have been demonstrated as suitable and strong alternatives to the more standard numerical schemes such as finite elements or finite differences. Moreover, when formulated in a Lagrangian approach, they are appropriate for capturing soil behavior under high‐strain levels. In this paper, the optimal transportation meshfree method has been applied for the first time to geotechnical problems undergoing large deformations. All the features employed in the current methodology (ie, F‐bar, explicit viscoplastic integration, and master‐slave contact) are described and validated separately. Finally, the model is applied to the particular case of shallow foundations by using von Mises and Drucker‐Prager yield criteria to find the load at failure in the. The presented methodology is demonstrated to be robust and accurate when solving this type of problems.

Type: Article
Title: Optimal transportation meshfree method in geotechnical engineering problems under large deformation regime
Open access status: An open access version is available from UCL Discovery
DOI: 10.1002/nme.5841
Publisher version: https://doi.org/10.1002/nme.5841
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: Drucker‐Prager failure criterion, explicit Newmark central difference scheme, finite deformation, meshfree, OTM, shallow foundations
UCL classification: 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/10048046
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