Band gaps for elastic flexural wave propagation in periodic composite plate structures with star-shaped, transversely isotropic, magneto-electro-elastic inclusions

Published on Sep 13, 2021in Acta Mechanica2.698
路 DOI :10.1007/S00707-021-03050-0
G. Y. Zhang12
Estimated H-index: 12
(SEU: Southeast University),
W. Shen1
Estimated H-index: 1
(Chongqing University)
+ 2 AuthorsZ.-Q. Xin1
Estimated H-index: 1
(Hohai University)
A new model for predicting elastic flexural wave band gaps in periodic composite plate structures containing interconnected, star-shaped, transversely isotropic, magneto-electro-elastic (MEE) inclusions is developed using a microstructure-dependent Mindlin plate model. The Floquet鈥揃loch theorem and the plane wave expansion method for periodic media are employed to solve the non-classical wave equations and to determine the band gaps incorporating the microstructure effect. The current non-classical model recovers its classical elasticity-based counterpart as a special case if the microstructure effect is suppressed. A parametric study is performed to demonstrate the newly developed model. The numerical results of the study show that the microstructure effect on band gaps is large when the plate is very thin. In addition, the unit cell edge length, inclusion geometry and MEE coupling have significant effects on band gap sizes, and large band gaps can be generated by tailoring the controlling parameters.
馃摉 Papers frequently viewed together
The dispersion relation of elastic Bloch waves in 1-3 piezoelectric phononic structures (PPnSs) with Langasite (La3Ga5SiO14) inclusions in a polymeric matrix is reported. Langasite presents promising material properties, for instance good temperature behaviour, high piezoelectric coupling, low acoustic loss and high quality factor. Furthermore, Langasite belongs to the point group 32 and has a trigonal structure. Thus, the 2-D bulk wave propagation in periodic systems with Langasite inclusions c...
#1G. Y. Zhang (SEU: Southeast University)H-Index: 12
#2Yilin Qu (Xi'an Jiaotong University)H-Index: 5
Last. Feng Jin (Xi'an Jiaotong University)H-Index: 5
view all 4 authors...
Abstract A new model is developed for transversely isotropic magneto-electro-elastic Timoshenko beams by using a variational formulation based on Hamilton's principle. An extended modified couple stress theory and a two-parameter Winkler-Pasternak elastic foundation model are applied to describe the microstructure and foundation effects, respectively. The equations of motion and complete boundary conditions for the beam are simultaneously obtained. The new model includes the models for transvers...
#1Yilin Qu (Xi'an Jiaotong University)H-Index: 5
#2Peng Li (Kyoto University)H-Index: 12
Last. Xin-Lin Gao (SMU: Southern Methodist University)H-Index: 42
view all 5 authors...
A new model for anisotropic magneto-electro-elastic Mindlin plates is developed by using an extended modified couple stress theory. The equations of motion and complete boundary conditions are simultaneously obtained by a variational formulation based on Hamilton鈥檚 principle. The new anisotropic magneto-electro-elastic plate model includes the models for orthotropic and transversely isotropic magneto-electro-elastic Mindlin plates and the model for isotropic Mindlin plates, all incorporating the...
#1Mohsen Espo (FUM: Ferdowsi University of Mashhad)H-Index: 1
#2Mohammad Hossein Abolbashari (FUM: Ferdowsi University of Mashhad)H-Index: 11
Last. Seyed Mahmoud Hosseini (FUM: Ferdowsi University of Mashhad)H-Index: 21
view all 3 authors...
This paper investigates the bandgap properties of a piezoelectric periodic nano-beam considering size and surface effects using a modified couple stress theory. The nano-beam is made of some finite periodic arrays of piezoelectric (PZT-5H) and epoxy segments. The Bloch theorem for periodic materials together with the transfer matrix method are employed for analyzing the problem. The band structure analyzed by the current model incorporates both the material length scale parameter and surface eff...
We studied the dispersion diagram of a 2D magnetoelectroelastic phononic crystal (MPnC) with Kagome lattice. The MPnC is composed of BaTiO3鈥揅oFe2O4 circular scatterers embedded in a polymeric matrix. The improved plane wave expansion (IPWE) approach was used to calculate the dispersion diagram (only propagating modes) of the MPnC considering the classical elasticity theory, solid with transverse isotropy and wave propagation in the xy plane. Complete Bragg-type forbidden bands were observed for ...
#1Lili Yuan (NBU: Ningbo University)H-Index: 4
#2Zhan-hua Cai (NBU: Ningbo University)H-Index: 2
Last. Ji Wang (NBU: Ningbo University)H-Index: 23
view all 6 authors...
In this paper, flexural wave in a steel-concrete composite beam with periodically surface-bonded cement-based piezoelectric patches (CPP) is studied. The composite beam is designed using the idea o...
#1Adriano T. Fabro (UnB: University of Bras铆lia)H-Index: 8
#2Han Meng (University of Nottingham)H-Index: 12
Last. Dimitrios Chronopoulos (University of Nottingham)H-Index: 17
view all 3 authors...
Abstract Additive manufacturing has been used to propose several designs of phononic crystals and metamaterials due to the low cost to produce complex geometrical features. However, like any other manufacturing process, it can introduce material and geometrical variability in the nominal design and therefore affect the structural dynamic performance. Locally resonant metamaterials are typically designed such that the distributed resonators have the same natural frequency or, in the case of rainb...
#1G. Y. Zhang (SEU: Southeast University)H-Index: 12
#2Xin-Lin Gao (SMU: Southern Methodist University)H-Index: 42
Abstract A new model for determining band gaps for wave propagation in two-dimensional (2-D) periodic three-phase composites containing coated star-shaped inclusions and an orthotropic matrix is developed using an extended version of the modified couple stress theory. An improved plane wave expansion method and the Bloch theorem for periodic media are employed to solve the 2-D elastic wave equations, which are converted to an eigenvalue problem. The shape functions for the newly proposed three-p...
#1Wenjun Wang (Xi'an Jiaotong University)H-Index: 5
#2Peng Li (Xi'an Jiaotong University)H-Index: 12
Last. Feng Jin (Xi'an Jiaotong University)H-Index: 21
view all 3 authors...
Abstract In the current work, a nonlinear magnetoelectric (ME) coupling model is developed to investigate the working performance of a magnetic energy nanoharvester, which is composed of a magneto-electro-elastic (MEE) laminated cylindrical nanoshell array when the circuit is connected either in series or in parallel. The analytical results indicate that the performance of nanoharvester exhibits obvious size-dependent phenomenon, including the resonant frequency, output electrical power density,...
#1Xuan Song (UI: University of Iowa)H-Index: 29
#2Li He (UI: University of Iowa)H-Index: 3
Last. Lei Chen (MSU: Mississippi State University)H-Index: 31
view all 8 authors...
Cited By1
This website uses cookies.
We use cookies to improve your online experience. By continuing to use our website we assume you agree to the placement of these cookies.
To learn more, you can find in our Privacy Policy.