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


74S05 Finite element methods applied to problems in solid mechanics
74B10 Linear elasticity with initial stresses
49M29 Numerical methods involving duality
Full Text: DOI


[1] and , ’Direct flexibility finite element elastoplastic analysis’, Proc. Int. Conf. on Structural Mechanics in Nu. Reac. Tech., Berlin, 1971, pp. 441-461.
[2] and , Mathematics of Physics and Modern Engineering, McGraw-Hill, New York, 1958. · Zbl 0081.27601
[3] and , ’Finite element analysis of the behavior of dilatant soils’, Int. Symp. on Soil-Structure Interaction, Univ. of Roorkee, Roorkee, India, 1976, pp. 189-195.
[4] ’A finite element complementary energy formulation for plane elastoplastic stress analysis’, Ph.D. dissertation, Dept. of Civil Engineering, Texas Tech. Univ., Lubbock, Texas (May 1979).
[5] Foundations of Solid Mechanics, Prentice-Hall, New Jersey, 1965.
[6] and , Lectures on Finite Element Methods in Continuum Mechanics, Univ. of Alabama, Huntsville, Alabama, 1973.
[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)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.