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Effects of Elastic Coupling between BaTiO3 Ferroelectric Film and a Substrate with Finite Thickness on Piezoelectric Coefficients Wei Zhanga,b,∗, Hua Zhang, Jun Ouyang and Fangren Hu School of Optoelectronic Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210023, China Peter Grunberg Research Center, Nanjing University of Posts and Telecommunications, Nanjing 210003, China Key Laboratory for Liquid-Solid Structure Evolution and Processing of Materials (Ministry of Education), School of Materials Science and Engineering, Shandong University, Jinan 250061, China