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Rubinstein, R.; Punch, E. F.; Atluri, S. N.

An analysis of, and remedies for, kinematic modes in hybrid-stress finite elements: selection of stable, invariant stress fields. (English) Zbl 0519.73070

Comput. Methods Appl. Mech. Eng. 38, 63-92 (1983).
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Cited in 18 Documents

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74S99 Numerical and other methods in solid mechanics

Keywords:

existence of spurious kinematic modes; hybrid-stress finite elements; equilibrated stresses; compatible boundary displacements; rank-deficiency of element stiffness matrix; selection of least-order, stable, invariant, stress fields; 20-node cubic element; 8-node cubic element; 4-node square
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\textit{R. Rubinstein} et al., Comput. Methods Appl. Mech. Eng. 38, 63--92 (1983; Zbl 0519.73070)
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References:

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[2] Atluri, S.N.; Tong, P.; Murakawa, H., Recent studies in hybrid and mixed finite element methods in mechanics, (), in press · Zbl 0407.73038
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[7] Ying, L.-A.; Atluri, S.N., A hybrid finite element method for Stokes flow: part II—stability and convergence studies, Comput. meths. appl. mech. engrg., 36, 39-60, (1983) · Zbl 0487.76042
[8] Yang, C.-T.; Rubinstein, R.; Atluri, S.N., On some fundamental studies into the stability of hybrid mixed finite element methods for Navier/Stokes equations in solid/fluid mechanics, (), 24-76
[9] Bartholomew, P., Comment on hybrid finite elements, Internat. J. numer. meths. engrg., 10, 968-973, (1976) · Zbl 0331.73079
[10] Spilker, R.L.; Singh, S.P., Three-dimensional hybrid-stress isoparametric quadratic displacement elements, Internat. J. numer. meths. engrg., 18, 445-465, (1982) · Zbl 0479.73062
[11] Ahmad, S.; Irons, B.M., An assumed stress approach to refined isoparametric elements in three dimensions, (), 85-100
[12] Pian, T.H.H.; Chen, D., On the suppression of zero energy deformation modes, (May 20, 1982), Manuscript received from the authors
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