Abstract
In this first section we relate two approaches for the evaluation of the maximal effect of degradation in a given discrete or discretized mechanical structure. The first model is based on classical approaches while the second model has been recently proposed (cf. [3]). The new model leads to a convex optimization problem, and thus can serve as the kernel of a model problem where the design is optimized with respect to extremal degradation (cf. Sec. 2). We note that both models do not reflect explicit considerations on the material related cause for degradation as studied in the field of Damage Mechanics (although there are many analogies in modelling; cf. [8, 9]).
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References
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Achtziger, W., Bendsøe, M.P. (2000). Optimal Design of Discrete Engineering Structures Resisting Effects of Material Degradation. In: Inderfurth, K., Schwödiauer, G., Domschke, W., Juhnke, F., Kleinschmidt, P., Wäscher, G. (eds) Operations Research Proceedings 1999. Operations Research Proceedings 1999, vol 1999. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58300-1_1
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