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A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. (English) Zbl 0478.73049


MSC:

74S05 Finite element methods applied to problems in solid mechanics
65K10 Numerical optimization and variational techniques

Software:

Hondo
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References:

[1] Malkus, Comp. Meth. Appl. Mech. Engng 15 pp 63– (1978)
[2] and , Techniques of Finite Elements, Ellis Horwood, Chichester, England, 1980.
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[5] Petschek, J. Comp. Phys. 3 pp 307– (1968)
[6] ’Finite element approach to hydrodynamics and mesh stabilization’, in Computation Methods in Nonlinear Mechanics (Ed. et al), The Texas Institute for Computational Mechanics, 1974.
[7] , and , ’A method for computer simulation of problems in solid mechanics and gas dynamics in three dimensions and time, Lawrence Livermore Laboratory’, Report UCRL-51574, revision 1, May 1975.
[8] Belytschko, Nucl. Engng Des. 49 pp 17– (1978)
[9] Key, Comp. Meth. Appl. Mech. Engng 4 pp 195– (1974)
[10] Kosloff, Int. J. num. Anal. Meth. Geomech. 2 pp 57– (1978)
[11] , and , ’Incompatible displacement models’, in Numerical and Computer Methods in Structural Mechanics, (Ed. et al), Academic Press, New York, 1973, pp. 43-57. · doi:10.1016/B978-0-12-253250-4.50008-7
[12] The Finite Element Method in Engineering Science, McGraw-Hill, London, 1971.
[13] and , Eigenvalue bounds for uniform strain modes of the hexahedron and quadrilateral finite elements, in preparation.
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