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Nonconforming rotated Q1 tetrahedral element with explicit time stepping for elastodynamics
Högskolan i Jönköping, Tekniska Högskolan, JTH, Maskinteknik. Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
2012 (engelsk)Inngår i: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 91, nr 10, s. 1105-1114Artikkel i tidsskrift (Fagfellevurdert) 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. 

sted, utgiver, år, opplag, sider
John Wiley & Sons, 2012. Vol. 91, nr 10, s. 1105-1114
Emneord [en]
finite element method, nonconforming element, explicit time stepping
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Identifikatorer
URN: urn:nbn:se:hj:diva-19255DOI: 10.1002/nme.4313ISI: 000307950900005Scopus ID: 2-s2.0-84865420770OAI: oai:DiVA.org:hj-19255DiVA, id: diva2:546661
Tilgjengelig fra: 2012-08-24 Laget: 2012-08-24 Sist oppdatert: 2018-10-15bibliografisk kontrollert

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