1. Computational modeling of finite deformation piezoelectric material behavior coupling transient electrical and mechanical fields.
- Author
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Yaghmaie, Reza and Ghosh, Somnath
- Subjects
- *
COMPUTER simulation of deformations , *PIEZOELECTRIC materials , *ELECTRIC fields , *FINITE element method , *VIBRATION (Mechanics) - Abstract
Abstract This paper develops a finite element formulation and computational model for coupling electric and finite strain dynamic fields with widely discrepant frequencies, governing the behavior of piezoelectric materials. The piezoelectric materials are defined by time-dependent nonlinear constitutive laws. A fully coupled, total Lagrangian finite element formulation is developed for modeling the electric and mechanical fields. A challenge in computational modeling of piezoelectric devices arise due to large discrepancy in the frequencies of the electrical signal and mechanical vibrations, especially when a large number of mechanical cycles need to be simulated. A wavelet transformation induced multi-time scaling (WATMUS) algorithm is developed for dynamic piezoelectric simulations. The WATMUS algorithm projects the high frequency electric fields on to the lower frequency of displacement and velocity fields, on which time integration is performed. The method significantly enhances the computational efficiency in comparison with single time scale integration methods. The accuracy and efficiency of the WATMUS algorithm are validated through piezo-electric applications. Highlights • Coupled transient electric and dynamic field analysis of nonlinear piezoelectric materials. • Finite strain vibration subject to oscillatory electric signals. • Novel wavelet transformation induced multi-time scaling method (WATMUS). • Piezoelectric structures simulated with WATMUS-FE model for validation. • Results show accuracy and highly improved computational efficiency. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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