Abstract
In this work a review of different formulations for topology design of structures and materials is presented. Using the concept of material distribution introduced in 1988 by Bendsøe and Kikuchi, different treatments have been developed in the last decade not only for the design of structural components but also to applications in material design namely of cellular, composite and/or piezoelectric materials and to problems in biomechanics, wave propagation, adaptive structures, fluid flow etc. In this paper we review topology design formulations developed for periodic material design and extend them to the simultaneous design of the structure and the material used in its production. Examples of application are presented for elasticity and heat transfer transient problems.
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Rodrigues, H.C. (2006). Topology Optimization of Structures: Applications in the Simulation and Design of Cellular Materials. In: Computational Methods in Engineering & Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48260-4_10
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DOI: https://doi.org/10.1007/978-3-540-48260-4_10
Publisher Name: Springer, Berlin, Heidelberg
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