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Article: Stabilized material point methods for coupled large deformation and fluid flow in porous materials

TitleStabilized material point methods for coupled large deformation and fluid flow in porous materials
Authors
KeywordsMaterial point methods
Poromechanics
Large deformation
Stabilized methods
Constrained problems
Issue Date2020
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
Citation
Computer Methods in Applied Mechanics and Engineering, 2020, v. 362, p. article no. 112742 How to Cite?
AbstractThe material point method (MPM) has been increasingly used for the simulation of large-deformation processes in fluid-infiltrated porous materials. For undrained poromechanical problems, however, standard MPMs are numerically unstable because they use low-order interpolation functions that violate the inf–sup stability condition. In this work, we develop stabilized MPM formulations for dynamic and quasi-static poromechanics that permit the use of standard low-order interpolation functions notwithstanding the drainage condition. For the stabilization of both dynamic and quasi-static formulations, we utilize the polynomial pressure projection method whereby a stabilization term is augmented to the balance of mass. The stabilization term can be implemented with both the original and generalized interpolation material point (GIMP) methods, and it is compatible with existing time-integration methods. Here we use fully-implicit methods for both dynamic and quasi-static poromechanical problems, aided by a block-preconditioned Newton–Krylov solver. The stabilized MPMs are verified and investigated through several numerical examples under dynamic and quasi-static conditions. Results show that the proposed MPM formulations allow standard low-order interpolation functions to be used for both the solid displacement and pore pressure fields of poromechanical formulations, from undrained to drained conditions, and from dynamic to quasi-static conditions.
Persistent Identifierhttp://hdl.handle.net/10722/283043
ISSN
2023 Impact Factor: 6.9
2023 SCImago Journal Rankings: 2.397
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorZHAO, Y-
dc.contributor.authorChoo, J-
dc.date.accessioned2020-06-05T06:24:19Z-
dc.date.available2020-06-05T06:24:19Z-
dc.date.issued2020-
dc.identifier.citationComputer Methods in Applied Mechanics and Engineering, 2020, v. 362, p. article no. 112742-
dc.identifier.issn0045-7825-
dc.identifier.urihttp://hdl.handle.net/10722/283043-
dc.description.abstractThe material point method (MPM) has been increasingly used for the simulation of large-deformation processes in fluid-infiltrated porous materials. For undrained poromechanical problems, however, standard MPMs are numerically unstable because they use low-order interpolation functions that violate the inf–sup stability condition. In this work, we develop stabilized MPM formulations for dynamic and quasi-static poromechanics that permit the use of standard low-order interpolation functions notwithstanding the drainage condition. For the stabilization of both dynamic and quasi-static formulations, we utilize the polynomial pressure projection method whereby a stabilization term is augmented to the balance of mass. The stabilization term can be implemented with both the original and generalized interpolation material point (GIMP) methods, and it is compatible with existing time-integration methods. Here we use fully-implicit methods for both dynamic and quasi-static poromechanical problems, aided by a block-preconditioned Newton–Krylov solver. The stabilized MPMs are verified and investigated through several numerical examples under dynamic and quasi-static conditions. Results show that the proposed MPM formulations allow standard low-order interpolation functions to be used for both the solid displacement and pore pressure fields of poromechanical formulations, from undrained to drained conditions, and from dynamic to quasi-static conditions.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma-
dc.relation.ispartofComputer Methods in Applied Mechanics and Engineering-
dc.subjectMaterial point methods-
dc.subjectPoromechanics-
dc.subjectLarge deformation-
dc.subjectStabilized methods-
dc.subjectConstrained problems-
dc.titleStabilized material point methods for coupled large deformation and fluid flow in porous materials-
dc.typeArticle-
dc.identifier.emailChoo, J: jchoo@hku.hk-
dc.identifier.authorityChoo, J=rp02364-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.cma.2019.112742-
dc.identifier.scopuseid_2-s2.0-85078315007-
dc.identifier.hkuros310299-
dc.identifier.volume362-
dc.identifier.spagearticle no. 112742-
dc.identifier.epagearticle no. 112742-
dc.identifier.isiWOS:000515542500035-
dc.publisher.placeNetherlands-
dc.identifier.issnl0045-7825-

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