Research Article
Aug 1973
Effects of Geometry Change on Essential Features of Inelastic Behavior
Publication: Journal of the Engineering Mechanics Division
Volume 99, Issue 4
Abstract
Essential features include normality or lack of normality of the inelastic strain or displacement rates to a meaningful surface, convexity or concavity of this surface, stability, and uniqueness of the incremental response. The correlation between system features and those of its constituent elements is studied in the presence of significant geometric effects on equilibrium. The system is regarded as an assembly of a discrete number of constituents via finite element discretization; consequently, algebraic description is adopted. The carrying over of normality from the element to the system is proved by means of virtual work equations, and alternatively, by deriving a suitable matrix description of the system incremental laws. This description combined with some recent results in mathematical programming, leads to sufficient conditions for stability and for existence and uniqueness of the incremental response. These conditions are formulated for both individual elements and systems and can be used for actual calculations. Convexity does not in general carry over from element to system in the presence of significant geometry changes
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Published In
Journal of the Engineering Mechanics Division
Volume 99 • Issue 4 • August 1973
Pages: 819 - 834
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Aug 1973
Published online: Feb 3, 2021
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Authors
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Giulio Maier, M.ASCE
Prof., Dept. of Struct. Engrg., Politecnico di Milano, Milan, Italy; 1971 Visiting Prof., Dept. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
Daniel C. Drucker, F.ASCE
Dean, Coll. of Engrg., Univ. of Illinois, Urbana, Ill.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.