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Selective mass scaling for explicit finite element analyses
Swedish Defence Research Agency, Tumba, Sweden.
Linköping University, Department of Management and Engineering, Solid Mechanics . Linköping University, The Institute of Technology.
Swedish Defence Research Agency, Tumba, Sweden.
2005 (English)In: International Journal for Numerical Methods in Engineering, ISSN 1097-0207 (online) 0029-5981 (print), Vol. 63, no 10, 1436-1445 p.Article in journal (Refereed) Published
Abstract [en]

Due to their inherent lack of convergence problems explicit finite element techniques are widely used for analysing non-linear mechanical processes. In many such processes the energy content in the high frequency domain is small. By focusing an artificial mass scaling on this domain, the critical time step may be increased substantially without significantly affecting the low frequency behaviour. This is what we refer to as selective mass scaling. Two methods for selective mass scaling are introduced in this work. The proposed methods are based on non-diagonal mass matrices that scale down the eigenfrequencies of the system. The applicability of the methods is illustrated in two example models where the critical time step is increased by up to 30 times its original size.

Place, publisher, year, edition, pages
2005. Vol. 63, no 10, 1436-1445 p.
Keyword [en]
selective mass scaling, finite element, explicit time integration
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-13417DOI: 10.1002/nme.1293OAI: diva2:20691
Available from: 2005-11-09 Created: 2005-11-09 Last updated: 2009-05-28
In thesis
1. On failure modelling in finite element analysis: material imperfections and element erosion
Open this publication in new window or tab >>On failure modelling in finite element analysis: material imperfections and element erosion
2005 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This dissertation concerns failure modelling with material imperfections and element erosion in finite element analyses. The aim has been to improve the element erosion technique, which is simple to use and implement and also computationally inexpensive. The first part of the dissertation serves as an introduction to the topic and as a summary of the methodologies presented in the following part. The second part consists of seven appended papers. In paper A the standard element erosion technique is used for projectile penetration. In papers B and C a methodology that accounts for size effects is developed and applied to crack initiation in armour steel and tungsten carbide. A methodology to better predict the stress state at crack tips with coarse meshes is presented and applied to armour steel in paper D. Papers E and F concern the development of selective mass scaling which allows for larger time steps in explicit methods. Finally, in paper G the previously presented methodologies are used in combination and validated against experimental results on tungsten carbide. The computations show good agreement with the experimental results on failure initiation for both materials, while the computational results on the propagation of cracks show better agreement for the armour steel than for the tungsten carbide.

Place, publisher, year, edition, pages
Institutionen för konstruktions- och produktionsteknik, 2005
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 973
finite element method, element erosion, material failure, material imperfections, crack-tip
National Category
Applied Mechanics
urn:nbn:se:liu:diva-4679 (URN)91-85457-34-5 (ISBN)
Public defence
2005-12-02, C3, C-huset, Campus Valla, Linköpings universitet, Linköping, 10:15 (English)
On the day of the public defence of the doctoral thesis, the status of articles I, III and IV was Accepted and article VII was Submitted.Available from: 2005-11-09 Created: 2005-11-09 Last updated: 2010-04-06

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