Multiresolution Continuum Theory Finite Element For Implicit Time Stepping Methods

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 th...

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Bibliographic Details
Main Author: Qin, Hao
Format: Master Thesis
Language:English
Published: Luleå tekniska universitet, Material- och solidmekanik 2014
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-18682
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Summary: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. 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 universitet