Damage and shakedown analysis of structures with strain-hardening |
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| Institution: | 1. Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran;2. Department of Bioresource Engineering, McGill University, Island of Montreal, QC H9X 3V9, Canada;3. Department of Mechanical Engineering, McGill University, Montreal, QC H3A 0C3, Canada |
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| Abstract: | In this article, the ductile damage of materials is introduced into the shakedown theory of strain-hardening structures. A mathematical programming method is developed to calculate an upper bound of the damage factor in a structure subjected to varying loads, which is suggested as the criterion of structural failure. Based on it, a lower bound of the safe load factor can be obtained for a strain-hardening structure via a mathematical programming. The application of this theory is demonstrated by analysing the thick-walled cylindrical tube. |
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