Abstract
Coupling electromechanical cell-based smoothed finite element method (CSFEM) with the asymptotic homogenization method (AHM) is presented to overcome the overstiffness of FEM. This method could accurately simulate the dynamic responses and electromechanical coupling effects of piezoelectric composite material (PCM) structures. Firstly, the efficient performances for active compounds of round cross-section fibers are calculated based on AHM. Secondly, in the CSFEM, electromechanical multi-physic-field FEM is coupled with gradient smoothing technique. CSFEM returns the nearly exact stiffness of continuum structures, which auto discretes the elements in complex areas more readily and thus remarkably reduces the numerical errors. Static and dynamic characteristics of four PCM structures are investigated using CSFEM with AHM. Results are compared with analytical solution and those of FEM, which proves that CSFEM with AHM is more accurate and reliable than the standard FEM when solving problems of complex structures. Additionally, CSFEM could provide results of higher accuracy even using distorted meshes. Therefore, such method is a robust tool for analyzing mechanical properties of PCM structures.
Highlights
Piezoelectric composite materials (PCMs) could confirm between mechanical energy and electrical energy [1]
Otero et al expressed the effective properties of reinforced PCMs in the closed form [19]. de Medeiros et al studied the effective coefficients of PCMs made of circular or squared cross-sectional fibers based on asymptotic homogenization method (AHM) [20]
Longitudinal/transversal elastic, piezoelectric, and dielectric effective parameters of a piezoceramic fiber with an O-shaped geometrical section buried in a non-piezoelectric material were computed by AHM based on micromechanics. e cell-based smoothed finite element method (CSFEM) of PCM structures was presented by applying gradient smoothing technique (GST) into the exit finite element model (FEM) for an electromechanical coupling field. en, the equations of the dynamic responses under the multifield for PCM instruments were deduced
Summary
Piezoelectric composite materials (PCMs) could confirm between mechanical energy and electrical energy [1]. E heterogeneous media can be generally characterized by micromechanical models Under such scenario, numerical or analytical ways were used to electromechanically characterize PCMs. Some analytical approaches were presented to investigate PCMs, but the methods were limited by boundary conditions and loading cases [7, 8]. The asymptotic homogenization method (AHM) was developed to solve the effective coefficients of PCMs with the square fibers distribution [14, 15]. De Medeiros et al studied the effective coefficients of PCMs made of circular or squared cross-sectional fibers based on AHM [20]. The dynamic characteristics on PCM structures were studied by using the technique based on the effective CSFEM with AHM. Longitudinal/transversal elastic, piezoelectric, and dielectric effective parameters of a piezoceramic fiber with an O-shaped geometrical section buried in a non-piezoelectric material were computed by AHM based on micromechanics.
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