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Multiresolution Continuum Theory Finite Element For Implicit Time Stepping Methods
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mechanics of Solid Materials.
2014 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

The multiresolution continuum theory is a higher order continuum theory where additional kinematic variables are added to account for the microstructural inhomogeneities at several distinct length scales. This can be particularly important for localization problems. The strength of this theory is that it can account for details in the microstructure of a material without using an extremely fine mesh. The thesis focuses on implementation and verification of a 3D elastic-plastic multiresolution element based on an implicit time stepping algorithm. It is implemented in the general purpose finite element program FEAP. The mesh independence associated with the length scale parameter is examined and the convergence rate of the element is also evaluated.

Place, publisher, year, edition, pages
Luleå tekniska universitet, 2014. , 94 p.
Licentiate thesis / Luleå University of Technology, ISSN 1402-1757
Research subject
Material Mechanics
URN: urn:nbn:se:ltu:diva-18682Local ID: 9ccfac04-54f9-40da-a900-816f0dd954acISBN: 978-91-7583-117-6ISBN: 978-91-7583-118-3OAI: diva2:991693
Godkänd; 2014; 20141110 (haoqin); Nedanstående person kommer att hålla licentiatseminarium för avläggande av teknologie licentiatexamen. Namn: Hao Qin Ämne: Materialmekanik/Material Mechanics Uppsats: Multiresolution Continuum Theory Finite Element For Implicit Time Stepping Methods Examinator: Professor Lars-Erik Lindgren, Institutionen för teknikvetenskap och matematik, Luleå tekniska universitet Diskutant: PhD, Senior Lecturer Sebastian Skatulla, University of Cape Town, South Africa Tid: Fredag den 12 december 2014 kl 10,15 Plats: A106, Luleå tekniska universitetAvailable from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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