Topology Optimization of SmartPiezoelectric TransducersTopologieoptimierung intelligenterpiezoelektrischer WandlerDer Technischen Fakulta¨t derUniversita¨t Erlangen-Nu¨rnbergzur Erlangung des GradesDOKTOR - INGENIEURvorgelegt vonFabian WeinErlangen 2011Als Dissertation genehmigt vonder Technischen Fakulta¨t der¨ ¨Universitat Erlangen-NurnbergTag der Einreichung: 04. 07. 2011Tag der Promotion: 19. 12. 2011Dekan: Prof. Dr.-Ing. habil. Marion Merklein1. Berichterstatter: Univ.-Prof. Dr. techn. Dr.-Ing. habil Manfred Kaltenbacher2. Berichterstatter: Prof. Dr.-Ing. habil. Paul SteinmannPrefaceThis thesis originated in the project “Optimization of Electro-Mechanical Smart Structures”¨ ¨of the primary investigators Eberhard Bansch, Manfred Kaltenbacher and Gunter Leugeringwithin the DFG Priority Program 1253 “Optimization with Partial Differential Equations’.I’m grateful for the funding from 2006 to 2009. Since 2009 I have been employed byMichael Stingl via the rising star project within the DFG Cluster of Excellence “Engineeringof Advanced Materials” which I’m also grateful for. The thesis was supervised by ManfredKaltenbacher and Eberhard Ba¨nsch.I would like to express my gratitude to my supervisors for their support, confidence andgiving me the freedom to follow my ideas. This also holds for my gratitude to Michael Stinglwho also guided me to the deeper secrets of structural optimization.