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Title: A mixed finite element method close to the equilibrium model applied to plane elastostatics (English)
Author: Haslinger, Jaroslav
Author: Hlaváček, Ivan
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 21
Issue: 1
Year: 1976
Pages: 28-42
Summary lang: English
Summary lang: Czech
Summary lang: Russian
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Category: math
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Summary: A new variational formulation of the displacement boundary value problem in linear plane elastostatics is established on the basis of a nonclassical spliting of the system of differential operators and the Friedrichs transform. The variational problem is proved to be correct and an application is shown, which yields a mixed finite element model. Two components of the approximate vector-field converge to the real displacements and the third to the shear stress. ()
MSC: 35A35
MSC: 35J20
MSC: 35Q99
MSC: 65N30
MSC: 74B99
MSC: 74H99
idZBL: Zbl 0355.65087
idMR: MR0391539
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Date available: 2008-05-20T18:03:19Z
Last updated: 2015-07-17
Stable URL: http://hdl.handle.net/10338.dmlcz/103620
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Reference: [1] Haslinger J., Hlaváček I.: A mixed finite element method close to the equilibrium model.(To appear in Numerische Mathematik). MR 0345433
Reference: [2] Haslinger J., Hlaváček I.: Curved elements in a mixed finite element method close to the equilibrium model.Aplikace matematiky 20 (1975), 233 - 252. MR 0383790
Reference: [3] Timoshenko S., Goodier J. N.: Theory of Elasticity.2nd ed., New York 1951. Zbl 0045.26402, MR 0045547
Reference: [4] Watwood V. B., Jr., Hartz B. J.: An equilibrium stress field model for finite element solution of two-dimensional elastostatic problems.Int. J. Solids Structures 4, (1968), 857-873. 10.1016/0020-7683(68)90083-8
Reference: [5] Fraeijs de Veubeke B.: Displacement and equilibrium models in the finite element method.In Stress Analysis, ed. Zienkiewicz O. C. and Holister G., Wiley (1965), 145-197.
Reference: [6] Courant R., Hilbert D.: Methods of Mathematical Physics.Vol. 1, Interscience, New York, 1953. Zbl 0053.02805, MR 0065391
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