Characteristics of solutions in softening plasticity and path criterion

Chen, G. and Baker, Graham (2003) Characteristics of solutions in softening plasticity and path criterion. Structural Engineering and Mechanics, 16 (2). pp. 141-152. ISSN 1225-4568

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Characteristics of solutions of softening plasticity are discussed in this article. The localized and non-localized solutions are obtained for a three-bar truss and their stability is evaluated with the aid of the second-order work. Beyond the bifurcation point, the single stable loading path splits into several post-bifurcation paths and the second-order work exhibits several competing minima. Among the multiple post-bifurcation equilibrium states, the localized solutions correspond to the minimum points of the second-order work, while the non-localized solutions correspond to the saddles and local maximum points. To determine the real post-bifurcation path, it is proposed that the structure should follow the path corresponding to the absolute minimum point of the second-order work. The proposal is further proved equivalent to Bazant's path criterion derived on a thermodynamics basis.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Copyright: Submission of an article to 'Structural Engineering and Mechanics' implies that it presents the original and unpublished work, and not under consideration for publication elsewhere. On acceptance of the submitted manuscript, the copyright thereof is transferred to the publisher by the Transfer of Copyright Agreement.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Agricultural, Civil and Environmental Engineering
Date Deposited: 06 May 2010 12:27
Last Modified: 25 Nov 2013 01:43
Uncontrolled Keywords: bifurcation; energy minimization; path criterion; softening plasticity; strain localization; structural analysis; structural loads; thermodynamics; trusses
Fields of Research : 09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010399 Numerical and Computational Mathematics not elsewhere classified

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