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A finite element model for plane elasticity problems using the complementary energy theorem. (English) Zbl 0473.73074


MSC:

74S05 Finite element methods applied to problems in solid mechanics
74B10 Linear elasticity with initial stresses
49M29 Numerical methods involving duality
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[1] and , ’Direct flexibility finite element elastoplastic analysis’, Proc. Int. Conf. on Structural Mechanics in Nu. Reac. Tech., Berlin, 1971, pp. 441-461.
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[5] Foundations of Solid Mechanics, Prentice-Hall, New Jersey, 1965.
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[7] and , Theory of Elasticity, McGraw-Hill, New York, 1951.
[8] and , ’The generation of interelement, compatible stiffness for mass matrices by the use of interpolation formulas’, Proc. 1st Conf. Matrix Methods. Struc. Mech., AFFDL-TR-66-80, 1965, pp. 397-444.
[9] Dupuis, Int. J. num. Meth. Engng 2 pp 563– (1970)
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