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Discretization of stress fields in the finite element method. (English) Zbl 0352.73061


MSC:

74S05 Finite element methods applied to problems in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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References:

[1] de Veubeke, B.Fraeijs, Upper and lower bounds in matrix structural analysis, () · Zbl 0131.22903
[2] de Veubeke, B.Fraeijs, Displacement and equilibrium models in the finite element method, (), Chap. 9 · Zbl 0245.73031
[3] Sander, G., Bornes supérieures et inférieures dans l’analyse matricielle des plaques en flexion-torsion, Bull. soc. R. sci. de liège, Vol. 8, 33-37, (1964)
[4] de Veubeke, B.Fraeijs; Zienkiewicz, O.C., Strain energy bounds in finite element analysis by slab analogy, J. strain anal., Vol. 2, No. 4, (1967)
[5] Morley, L.S.D., A triangular equilibrium element with linearly varying bending moments for plate bending problems, J. R. aeronaut. soc., (Oct. 1967)
[6] de Veubeke, B.Fraeijs, A conforming finite element for plate bending, Int. J. solids & struct., Vol. 4, 95-108, (1968) · Zbl 0168.22602
[7] de Veubeke, B.Fraeijs; Sander, G., An equilibrium element for plate bending, Int. J. solids & struct., Vol. 4, 447-468, (1968)
[8] Sander, G., Application of the dual analysis principle, (), 167-207, High speed computing of elastic structures
[9] Pian, T.H.H., Formulations of finite element methods for solid continua, () · Zbl 0303.49027
[10] Irons, B.M.; Razzaque, A., Experience with patch test for convergence of finite elements, (), 557-587
[11] Strang, G.; Fix, G., Analysis of the finite element method, (1973), Prentice-Hall Englewood Cliffs, N.J · Zbl 0278.65116
[12] de Veubeke, B.Fraeijs, A new variational principle for finite elastic displacements, Int. J. engng. sci., Vol. 10, 745-763, (1972) · Zbl 0245.73031
[13] de Veubeke, B.Fraeijs, Variational principles and the patch test, Int. J. num. meth. engng., Vol. 8, 783-801, (1974) · Zbl 0284.73043
[14] Sander, G.; Beckers, P., Delinquent finite elements for shell idealization, Proc. world cong. on F.E. methods in structural mechanics, (1975), Bournemouth
[15] de Veubeke, B.Fraeijs, Stress function approach, Proc. world cong. on F.E. methods in structural mechanics, (1975), Bournemouth
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