Chen, G. and Baker, Graham (2003) Material softening and structural instability. Advances in Structural Engineering, 6 (4). pp. 353-357. ISSN 1369-4332Full text not available from this repository.
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.
|Item Type:||Article (Commonwealth Reporting Category C)|
|Additional Information:||Paper to be obtained which may be deposited with blanket permission of publisher.|
|Uncontrolled Keywords:||boundary conditions; material failure; mathematical model; second-order work; softening material; structural stability|
|Depositing User:||epEditor USQ|
|Date Deposited:||18 May 2010 01:24|
|Last Modified:||21 Oct 2010 23:59|
Actions (login required)
|Archive Repository Staff Only|