Research Article
Oct 1978
Uniqueness of Solution in Limit Analysis of Structures
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VIEW THE REPLYAuthors: A. Franchi and M.Z. Cohn, F.ASCEAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 104, Issue 5
Abstract
The paper is concerned with the nature of solutions obtained in the limit analysis of discretized systems. The uniqueness of the collapse load factor and its equivalent concept in mathematical programming theory are well documented in the literature. However, although the optimal merit function value (collapse load factor) is unique, the associated solution vector may or may not be unique. The paper establishes: (1)The necessary and sufficient conditions for the existence of a unique solution vector; and (2)the procedures for finding the complete solution set in the case of multiplicity of solutions.
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Published In
Journal of the Engineering Mechanics Division
Volume 104 • Issue 5 • October 1978
Pages: 1229 - 1240
Copyright
© 1978 American Society of Civil Engineers.
History
Published in print: Oct 1978
Published online: Feb 3, 2021
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A. Franchi
Asst. Prof., Istituto di Scienza e Tecnica delle Costruzioni, Politecnico, Milan, Italy
M.Z. Cohn, F.ASCE
Prof., Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada
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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.