Inelastic Analysis of Structures Based on Stress Redistribution
Publication: Journal of Structural Engineering
Volume 117, Issue 8
Abstract
An important characteristic of structures that exhibit material nonlinearity is that the internal stresses are redistributed when the stiffness properties of the members change. Based on this physical characteristic of structures, an efficient analytical method for the nonlinear analysis of structures is presented here. In his analytical method, the overall response of the structure is determined by considering: (1) The elastic response of the structure to external loads; and (2) the stress redistribution that results from the member yield excursions. One advantage of this method is that the stress redistribution may be represented in terms of the elastic stiffness matrix of the structure and not the tangent stiffness matrix. Another advantage of this method is that the only parameters that have to be evaluated and updated throughout the analysis are the member stresses and the member deformations. Hence, there is no direct evaluation of the structure displacements or the tangent stiffness matrices.
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References
1.
Chames, A. C., and Greenberg, H. L. (1951). “Plastic collapse and linear programming.” Proc. of Meetings of American Mathematical Soc., American Mathematical Society, Sep.
2.
Dantzig, G. B. (1963). Linear programming and extensions. Princeton Univ. Press, Princeton, N.J.
3.
De Donato, O. (1977). “Fundamentals of Elastic‐Plastic Analysis.” Structural Plasticity by Mathematical Programming, Pergamon Press, New York, N.Y., 325–349.
4.
Dorn, W. S., and Greenberg, H. J. ( ). “Linear programming and plastic limit analysis.” Quarterly Applied Mathematics, 15, 155–167.
5.
Franchi, A., and Cohn, M. Z. (1980). “Computer analysis of elastic‐plastic structures.” Computer Methods in Applied Mech. and Engrg., 21(3), 271–294.
6.
Kuhn, H. W., and Tucker, A. W. (1951). “Nonlinear programming.” Proc. of the Second Berkeley Symp. on Mathematical Statistics and Probability, J. Neyman, ed., University of California Press, 481–492.
7.
Maier, G. (1970). “A matrix structural theory of piecewise linear elasto‐plasticity with interacting yield planes.” Meccanica, 5(1), 54–66.
8.
Maier, G. (1973). “Mathematical programming methods in structural analysis.” Proc. of Int. Conference on Variational Methods in Engrg., Southampton University Press, 11(8), 8/1‐8/32.
9.
Moazzami, S., and Bertero, V. V. (1987). “Three‐dimensional inelastic analysis of reinforced concrete frame‐wall structures.” Report No. UCB/EERC‐87/05, Earthquake Engrg. Res. Ctr., Univ of California, Berkeley, Calif.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 117 • Issue 8 • August 1991
Pages: 2340 - 2350
Copyright
Copyright © 1991 ASCE.
History
Published online: Aug 1, 1991
Published in print: Aug 1991
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