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Failure modelling in finite element analyses: Element erosion with crack-tip enhancement
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
Grindsjön Research Centre, Swedish Defence Research Agency, Tumba, Sweden.
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
2006 (English)In: Finite elements in analysis and design (Print), ISSN 0168-874X, Vol. 42, no 4, 283-297 p.Article in journal (Refereed) Published
Abstract [en]

A method to better handle fracture using element erosion in finite element analyses is proposed. It is assumed that the crack-tip is blunt and that the solution in the vicinity of the crack-tip is separable when described in local polar co-ordinates. The numerical solution is enhanced by scaling strain rates at integration points to better match the state at the crack-tip. This material specific scaling function is empirically determined for modus I steady-state propagation and is applied to two problems. The results show that the method reduces mesh dependency such that the chosen fracture energy can be better matched for different element sizes.

Place, publisher, year, edition, pages
Elsevier, 2006. Vol. 42, no 4, 283-297 p.
Keyword [en]
Finite element analysis; Failure; Element erosion; Crack-tip enhancement; Steady-state propagation; Modus I
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-13415DOI: 10.1016/j.finel.2005.07.001OAI: oai:DiVA.org:liu-13415DiVA: diva2:20689
Available from: 2005-11-09 Created: 2005-11-09 Last updated: 2012-08-23
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
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 973
Keyword
finite element method, element erosion, material failure, material imperfections, crack-tip
National Category
Applied Mechanics
Identifiers
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)
Opponent
Supervisors
Note
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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