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Numerical lower bound shakedown analysis of engineering structures

โœ Scribed by Jaan-Willem Simon; Dieter Weichert

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
893 KB
Volume
200
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

a b s t r a c t

We propose a numerical method for the computation of shakedown loads of engineering structures subjected to varying thermo-mechanical loading. The method is based on Melan's lower bound shakedown theorem using the von Mises yield criterion. The resulting nonlinear convex optimization problem is presented in a generalized formulation and then solved by an interior-point algorithm, which is characterized by a problem-tailored solution strategy, particularly suitable for application to large-scale engineering structures.

Theoretical and numerical issues of the algorithm are described. It's efficiency is shown by application to thermo-mechanical problems from power plant engineering. The results are compared to those found in literature as well as to calculations with other optimization codes LANCELOT, IPOPT and IPDCA.

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