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.
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Published In
Journal of Engineering Mechanics
Volume 121 • Issue 2 • February 1995
Pages: 299 - 308
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Feb 1, 1995
Published in print: Feb 1995
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