Nonconforming rotated Q1 tetrahedral element with explicit time stepping for elastodynamics
2011 (English)Report (Other academic)
In this paper we apply a rotated bilinear tetrahedral element recently introduced by Hansbo 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 (pointwise continuity versus edge average continuity) as well as lumping versus consistent mass in the setting of eigenvibrations. We also use the element in combination withthe leapfrog method for time domain computations and make numerical comparisons with the constant strain and linear strain tetrahedra.
Place, publisher, year, edition, pages
JTH research report, ISSN 1404-0018 ; 2011:4
Engineering and Technology
IdentifiersURN: urn:nbn:se:hj:diva-16222OAI: oai:DiVA.org:hj-16222DiVA: diva2:444856