Large deformation analysis using a quasi-static material point method.

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dc.contributor.authorBeuth, L.
dc.contributor.authorBenz, T.
dc.contributor.authorVermeer, Pieter A.
dc.contributor.authorWięckowski, Zdzisław
dc.date.accessioned2015-11-26T08:27:52Z
dc.date.available2015-11-26T08:27:52Z
dc.date.issued2008
dc.description.abstractThe Finite Element Method (FEM) has become the standard tool for the analysis of a wide range of solid mechanics problems. However, the underlying structure of a classical updated Lagrangian FEM is not well suited for the treatment of large deformation problems, since excessive mesh distortions can lead to numerical difficulties. The Material Point Method (MPM) represents an approach in which material points moving through a fixed finite element grid are used to simulate large deformations. As the method makes use of moving material points, it can also be classifed as a point-based or meshless method. With no mesh distortions, it is an ideal tool for the analysis of large deformation problems. MPM has its origin in fluid mechanics and has only recently been applied to solid mechanics problems. It has been used successfully for impact analyses where bodies penetrate each other and for silo discharging problems. All existing MPM codes found in literature are dynamic codes with explicit time integration and only recently implicit time integration. In this study a quasi-static MPM formulation and implementation are presented. The paper starts with the description of the quasi-static governing equations and the numerical discretisation. Afterwards, the calculation process of the quasi-static MPM is explained, followed by the presentation of some geotechnical boundary value problems which have been solved with the newly developed quasi-static MPM code. The benchmark problems consist of an oedometer test and a slope. For validation, the results are compared with analytical solutions and FEM results, respectively.en_EN
dc.identifier.citationJournal of Theoretical and Applied Mechanics, 2008 Vol.38 nr 1-2 s.45-60, streszcz.
dc.identifier.issn1429-2955
dc.identifier.other20079
dc.identifier.urihttp://hdl.handle.net/11652/869
dc.language.isoen
dc.publisherPolskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
dc.relation.ispartofseriesJournal of Theoretical and Applied Mechanics, 2008 Vol.38 nr 1-2en_EN
dc.subjectmeshless methodsen_EN
dc.subjectMaterial Point Methoden_EN
dc.subjectlarge deformationsen_EN
dc.subjectmetoda elementów skończonychpl_PL
dc.subjectmetoda quasi-statycznapl_PL
dc.subjectmetoda punktów materialnychpl_PL
dc.subjectmetoda MPMpl_PL
dc.subjectodkształceniapl_PL
dc.titleLarge deformation analysis using a quasi-static material point method.
dc.typeArtykuł

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