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Nonlinear transient isogeometric analysis of smart piezoelectric functionally graded material plates based on generalized shear deformation theory under thermo-electro-mechanical loads

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Abstract

We present a generalized shear deformation theory in combination with isogeometric (IGA) approach for nonlinear transient analysis of smart piezoelectric functionally graded material (FGM) plates. The nonlinear transient formulation for plates is formed in the total Lagrange approach based on the von Kármán strains, which includes thermo-piezoelectric effects, and solved by Newmark time integration scheme. The electric potential through the thickness of each piezoelectric layer is assumed to be linear. The material properties vary through the thickness of FGM according to the rule of mixture and the Mori–Tanaka schemes. Various numerical examples are presented to demonstrate the effectiveness of the proposed method.

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Acknowledgments

H. Nguyen-Xuan would like to thank the Alexander von Humboldt Foundation for granting the Georg Forster Research Award.

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Authors and Affiliations

  1. Department of Electrical Energy, Systems and Automation, Faculty of Engineering and Architecture, Ghent University, Zwijnaarde, Belgium

    P. Phung-Van & Loc V. Tran

  2. Faculdade de Engenharia, Universidade do Porto, Porto, Portugal

    A. J. M. Ferreira

  3. Center for Interdisciplinary Research in Technology (CIRTech), HUTECH University, 700000, Ho Chi Minh City, Vietnam

    H. Nguyen-Xuan

  4. Department of Architectural Engineering, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul, 143-747, Republic of Korea

    H. Nguyen-Xuan

  5. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    M. Abdel-Wahab

  6. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    M. Abdel-Wahab

  7. Soete Laboratory, Faculty of Engineering and Architecture, Ghent University, Technologiepark Zwijnaarde 903, 9052, Zwijnaarde, Belgium

    M. Abdel-Wahab

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  1. P. Phung-Van
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  2. Loc V. Tran
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  3. A. J. M. Ferreira
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  4. H. Nguyen-Xuan
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  5. M. Abdel-Wahab
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Correspondence to P. Phung-Van, H. Nguyen-Xuan or M. Abdel-Wahab.

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Phung-Van, P., Tran, L.V., Ferreira, A.J.M. et al. Nonlinear transient isogeometric analysis of smart piezoelectric functionally graded material plates based on generalized shear deformation theory under thermo-electro-mechanical loads. Nonlinear Dyn 87, 879–894 (2017). https://doi.org/10.1007/s11071-016-3085-6

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