Multilevel optimal design of composite structures including materials with negative Poisson's ratioMultilevel optimal design of composite structures including materials with negative Poisson's ratio Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-111998enMultilevel iterative optimal design procedures, horrowed from the theory of structural optimization by means of homogenization, are used in this paper for the optimal material design of composite material structures. The method is quite general and includes materials with appropriate microstructure, which may lead eventually to phenomenological, overall negative Poisson's ratios. The benefits of optimal structural design gained by this approach, together with the first attempts to explain the taskoriented microstructure of natural structures, are investigated by means of numerical examples, and simulation of, among others, human bones. http://creativecommons.org/licenses/by/4.0/Structural optimization1158-15 Stavroulakis Georgios Σταυρουλακης Γεωργιος P. S. Theocaris Springer Verlag Handling of materials Material handling Materials--Handling and transportation Mechanical handling materials handling handling of materials material handling materials handling and transportation mechanical handling --Cases, clinical reports, statistics --Statistical data statistics cases clinical reports statistics statistical data