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Computational homogenization of fibrous piezoelectric materials

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Abstract

Flexible piezoelectric devices made of polymeric materials are widely used for micro- and nano-electro-mechanical systems. In particular, numerous recent applications concern energy harvesting. Due to the importance of computational modeling to understand the influence that microscale geometry and constitutive variables exert on the macroscopic behavior, a numerical approach is developed here for multiscale and multiphysics modeling of thin piezoelectric sheets made of aligned arrays of polymeric nanofibers, manufactured by electrospinning. At the microscale, the representative volume element consists in piezoelectric polymeric nanofibers, assumed to feature a piezoelastic behavior and subjected to electromechanical contact constraints. The latter are incorporated into the virtual work equations by formulating suitable electric, mechanical and coupling potentials and the constraints are enforced by using the penalty method. From the solution of the micro-scale boundary value problem, a suitable scale transition procedure leads to identifying the performance of a macroscopic thin piezoelectric shell element.

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Acknowledgments

Claudio Maruccio acknowledges the support from the Italian MIUR through the project FIRB Futuro in Ricerca 2010 Structural mechanics models for renewable energy applications (RBFR107AKG). Laura De Lorenzis, Dario Pisignano and Luana Persano acknowledge the support from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013), ERC Starting Grants INTERFACES (L. De Lorenzis, Grant agreement No. 279439) and NANO-JETS (D. Pisignano and L. Persano, Grant agreement No. 306357). Furthermore, the authors gratefully acknowledge the reviewers for useful comments and suggestions that contributed to improve the quality of the paper.

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Authors and Affiliations

  1. Dipartimento di Ingegneria dell’Innovazione, Università del Salento, Via Monteroni, Lecce, Italy

    Claudio Maruccio

  2. Institut für Angewandte Mechanik, Technische Universität Braunschweig, Bienroder Weg, Braunschweig, Germany

    Laura De Lorenzis

  3. Istituto Nanoscienze-CNR, Euromediterranean Center for Nanomaterial Modelling and Technology (ECMT), via Arnesano, Lecce, Italy

    Luana Persano & Dario Pisignano

  4. Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, via Monteroni, Lecce, Italy

    Dario Pisignano

Authors
  1. Claudio Maruccio
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  2. Laura De Lorenzis
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  3. Luana Persano
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  4. Dario Pisignano
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Correspondence to Claudio Maruccio.

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Maruccio, C., De Lorenzis, L., Persano, L. et al. Computational homogenization of fibrous piezoelectric materials. Comput Mech 55, 983–998 (2015). https://doi.org/10.1007/s00466-015-1147-0

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