Limit States of Load-Path-Dependent Structures in Basic Variable Space
Publication: Journal of Engineering Mechanics
Volume 121, Issue 2
Abstract
The concepts of safe and failure regions and limit-state surface in the basic variable space are discussed in this paper. The traditional concept of a limit state surface for load-path-independent problems is not applicable to load-path-dependent problems. Through introducing the concepts of survival paths and immediate survival and failure directions, the basic variable space is divided into three mutually exclusive and collectively exhaustive regions: the failure region, the transition region, and the safe region. Failure can only occur inside the transition zone, and each point in the transition zone has a chance to be critical. For continuous basic variables, the segment of surface that separates the immediate failure directions from immediate survival directions at a point in the transition region can be defined as the limit-state surface. This segment of failure surface is, in general, different for different points in the transition zone, and different for different paths to the same point. Three simple structures are employed to illustrate these concepts.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bennett, R. M., and Ang, A. H.-S.(1984). “Formulations of structural system reliability.”J. Engrg. Mech., ASCE, 112(11), 1135–1151.
2.
Bogdanoff, J. L., and Kozin, F. (1985). Probabilistic models of cumulative damage . John Wiley and Sons, New York, N.Y.
3.
Cordts, D., and Kollmann, F. G.(1986). “An implicit time integration scheme for inelastic constitutive equations with internal state variables.”Int. J. Numerical Methods in Engrg., 23(4), 533–554.
4.
Ditlevsen, O.(1988). “Probabilistic statics of discretized ideal plastic frames.”J. Engrg. Mech., ASCE, 114(12), 2093–2114.
5.
Ditlevsen, O. (1990). “Asymptotic first-passage time distributions in compound Poisson processes.”Struct. Safety, Amsterdam, The Netherlands, Vol. 8(1–4), 327–336.
6.
Ditlevsen, O.(1991). “Gaussian excited elasto-plastic oscillator with rare visits to the plastic domain.”J. of Sound and Vibration, 145(3), 443–456.
7.
Ghanem, R. G., and Spanos, P. D. (1991). Stochastic finite elements: a spectral approach . Springer-Verlag, New York, N.Y.
8.
Kareem, A., and Li, Y.-S. (1991). “Digital simulation of wind load effects.”Probabilistic mechanics and structural and geotechnical reliability, Y. K. Lin, ed., ASCE, New York, N.Y., 284–287.
9.
Mukherjee, S. (1982). Boundary element methods in creep and fracture . Applied Science Publishers, New York, N.Y.
10.
Shinozuka, M., and Deodatis, G.(1991). “Simulation of stochastic processes by spectral representation.”Appl. Mech. Rev., 44(4), 191–204.
11.
Shinozuka, M., and Yamazaki, F.(1990). “Simulation of stochastic fields by statistical preconditioning.”J. Engrg. Mech., 116(2), 268–287.
12.
Wen, Y. K., and Chen, H-C.(1989). “System reliability under time varying loads: II.”J. Engrg. Mech., ASCE, 115(4), 824–839.
Information & Authors
Information
Published In
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Feb 1, 1995
Published in print: Feb 1995
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.