Abstract
This section deals with problems of optimal design of structures from various materials. The number of materials is supposed to be finite and consequently the admissible design set consists of separate discrete values. Suppose that material i (i = 1, 2, …, r) is characterized by the following property vector (see Fig. 13.1): 13.1$${\xi }_{i} = \left \{{\xi }_{i}^{1},{\xi }_{ i}^{2},\ldots,{\xi }_{ i}^{m}\right \},\quad i = 1,2,\ldots,r,$$ where r is the number of given materials (steel, titanium, …) and m is the number of material properties essential for the problem (material density, Young’s modulus, …).
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Banichuk, N.V., Neittaanmäki, P. (2010). Uncertainties in Material Characteristics. In: Structural Optimization with Uncertainties. Solid Mechanics and Its Applications, vol 162. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2518-0_13
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DOI: https://doi.org/10.1007/978-90-481-2518-0_13
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