Summary
A general non-linear formulation for materially non-linear problems using local derivatives of shape functions is presented. The stable ‘Alpha Constant’ stiffness method with a new two step process is also developed as an economical alternative for the solution of problems with physical non-linearities.
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References
Nayak, G.C.: Zienkiewicz, O.C., ‘Elasto-Plastic Stress Analysis - A Generalisation for Various Constitutive Relations including Strain Softening’, IJNME, 5 113–135, 1972.
Nayak, G.C.: Zienkiewicz, O.C., ‘Note on the Alpha’ Constant - Stiffness Method for the Analysis of Nonlinear Problems’, IJNME, k, 579–582, 1972.
Nayak, G.C., ‘Plasticity and Large Deformation Problems by the Finite Element Methods’, Ph.D. Thesis, University of Wales, Swansea, 1971
Cochet, J.F.:Dhatt, G.S., ‘A Modification of the Alpha Constant Technique’, IJNME, 11, 1053–1051, 1977.
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© 1981 Springer-Verlag, Berlin, Heidelberg
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Nayak, G.C. (1981). Plasticity Solutions by Finite Element Method. In: Hult, J., Lemaitre, J. (eds) Physical Non-Linearities in Structural Analysis. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81582-9_26
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DOI: https://doi.org/10.1007/978-3-642-81582-9_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81584-3
Online ISBN: 978-3-642-81582-9
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