An improved moving least squares method for the Material Point Method

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dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorTran, Quocen_US
dc.contributor.authorBerzins, Martinen_US
dc.contributor.authorSołowski, Wojciech Tomaszen_US
dc.contributor.departmentDepartment of Civil Engineeringen
dc.contributor.editorLiang, Dongfangen_US
dc.contributor.editorKumar, Krishnaen_US
dc.contributor.editorRohe, Alexanderen_US
dc.contributor.groupauthorMineral Based Materials and Mechanicsen
dc.contributor.organizationUniversity of Utahen_US
dc.date.accessioned2019-01-30T15:08:34Z
dc.date.available2019-01-30T15:08:34Z
dc.date.issued2019-01-10en_US
dc.description.abstractThe paper presents an improved moving least squares reconstruction technique for the Material Point Method. The moving least squares reconstruction (MLS) can improve spatial accuracy in simulations involving large deformations. However, the MLS algorithm relies on computing the inverse of the moment matrix. This is both expensive and potentially unstable when there are not enough material points to reconstruct the high-order least squares function, which leads to a singular or an ill-conditioned matrix. The shown formulation can overcome this limitation while retain the same order of accuracy compared with the conventional moving least squares reconstruction. Numerical experiments demonstrate the improvements in the accuracy and comparison with the original Material Point Method and the Convected Particles Domain Interpolation method.en
dc.description.versionPeer revieweden
dc.format.extent8
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationTran, Q, Berzins, M & Sołowski, W T 2019, An improved moving least squares method for the Material Point Method . in D Liang, K Kumar & A Rohe (eds), Proceedings of the 2nd International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction (MPM 2019) ., mpm2019.06, Ocean Press, International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction, Cambridge, United Kingdom, 08/01/2019 .en
dc.identifier.isbn978-7-5210-0316-1
dc.identifier.otherPURE UUID: 4fc97aa6-0f04-4a5a-88df-d9d18948b649en_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/4fc97aa6-0f04-4a5a-88df-d9d18948b649en_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/31289004/ENG_Tran_et_al_An_improved_moving_least_squares_method_MPM_2019.pdfen_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/36250
dc.identifier.urnURN:NBN:fi:aalto-201901301420
dc.language.isoenen
dc.relation.ispartofInternational Conference on the Material Point Method for Modelling Soil-Water-Structure Interactionen
dc.relation.ispartofseriesProceedings of the 2nd International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction (MPM 2019)en
dc.rightsopenAccessen
dc.subject.keywordMaterial Point Methoden_US
dc.subject.keywordMoving least squareen_US
dc.subject.keywordCPDIen_US
dc.subject.keywordimproved moving least squaresen_US
dc.titleAn improved moving least squares method for the Material Point Methoden
dc.typeConference article in proceedingsfi
dc.type.versionacceptedVersion
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