Material softening and structural instability

Chen, G. and Baker, Graham (2003) Material softening and structural instability. Advances in Structural Engineering, 6 (4). pp. 353-357. ISSN 1369-4332

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This note discusses the relationship between two kinds of instability problems: material failure and structural instability. Material failure is governed by the second-order work at the material point concerned, whereas structural instability is governed by the second-order work of the whole structure. Structural instability is not only related to material instability but also to the structural topology, boundary conditions, and the mathematical model used. Material failure only indicates that the structure cannot support some forms of loading further. If the mathematical modelling does not reflect these forms of the loading, the structure may be stable but with material failure. The important conclusion is that at a structural level, we should examine global not local stability. As an example, the stability of localized and non-localized solutions is evaluated with the aid of the second-order work expressions. A theoretical explanation is presented to the interesting phenomenon in softening solids that increasing the finite element space will reveal more unstable solutions and will 'turn' those that were previously found 'stable' into unstable solutions.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Paper to be obtained which may be deposited with blanket permission of publisher.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Agricultural, Civil and Environmental Engineering
Date Deposited: 18 May 2010 01:24
Last Modified: 21 Oct 2010 23:59
Uncontrolled Keywords: boundary conditions; material failure; mathematical model; second-order work; softening material; structural stability
Fields of Research : 09 Engineering > 0905 Civil Engineering > 090503 Construction Materials
09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
Socio-Economic Objective: B Economic Development > 87 Construction > 8704 Construction Processes > 870401 Civil Construction Processes
Identification Number or DOI: 10.1260/136943303322771727

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