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Nonconforming rotated Q1 tetrahedral element with explicit time stepping for elastodynamics
Jönköping University, School of Engineering, JTH, Mechanical Engineering. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2012 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 91, no 10, 1105-1114 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we apply a rotated bilinear tetrahedral element to elastodynamics in R3. This element performs superior to the constant strain element in bending and, unlike the conforming linear strain tetrahedron, allows for row-sum lumping of the mass matrix. We study the effect of different choices of approximation (point- wise continuity versus edge average continuity) as well as lumping versus consistent mass in the setting of eigenvibrations. We also use the element in combination with the leapfrog method for time domain com- putations and make numerical comparisons with the constant strain and linear strain tetrahedra. 

Place, publisher, year, edition, pages
2012. Vol. 91, no 10, 1105-1114 p.
Keyword [en]
finite element method, nonconforming element, explicit time stepping
National Category
Applied Mechanics Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-19255DOI: 10.1002/nme.4313OAI: oai:DiVA.org:hj-19255DiVA: diva2:546661
Available from: 2012-08-24 Created: 2012-08-24 Last updated: 2013-09-25Bibliographically approved

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Hansbo, Peter
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