Abstract:A major problem that often arises in modeling Micro Electro Mechanical Systems (MEMS) such as Surface Acoustic Wave (SAW) sensors using Finite Element Analysis (FEA) is the extensive computational capacity required. In this study a new approach is adopted to significantly reduce the computational capacity needed for analyzing the response of a SAW sensor using the finite element (FE) method. The approach is based on the plane wave solution where the properties of the wave vary in two dimensions and are uniform… Show more
“…The problem of interest in this study is to model the full device response using a 3D model of a SAW sensor; therefore the finite element method is adopted. A thorough discussion of the FE formulation for solving the wave equations in a piezoelectric medium has been published elsewhere [ 30 ].…”
Section: Numerical Modeling Using Finite Element Analysis (Fea)mentioning
“…The problem of interest in this study is to model the full device response using a 3D model of a SAW sensor; therefore the finite element method is adopted. A thorough discussion of the FE formulation for solving the wave equations in a piezoelectric medium has been published elsewhere [ 30 ].…”
Section: Numerical Modeling Using Finite Element Analysis (Fea)mentioning
“…However, this model does not include the internal reflection of the IDT. The equivalent-circuit model can take the second order response of the device into account, and can get the whole impedance characteristic of the device [4]. In addition, the equivalent-circuit model can also calculate the mechanical wave reflection and the effect of energy storage.…”
In order to get the propagation characteristics of surface acoustic wave (SAW) along the piezoelectric crystals surface, the scheme of achieving the propagation characteristics of SAW device based on finite element analysis with ANSYS was proposed in this paper. In this scheme, the model of SAW device was built by the finite element analysis, and the parameter of the electrode and the substrate material was set. The geometry model of SAW device was meshed, and the continuous entity was divided into finite element model. The actual problems of boundary conditions and load in mechanical and electrical were applied to the model. By means of simulating a SAW device with center frequency at 100 MHz, the comparison and analysis between the simulation results and the theory results were presented. Experiments results confirm that the SAW energy is confined into a zone close to the piezoelectric crystals surface and is 1 to 2 wavelengths thick, and the amplitude and energy of the SAW will decrease rapidly with increasing depth.
Direct flexoelectricity is a size-dependent phenomenon, very prominent at smaller scales, that connects the strain gradients and the electric field. The very existence of strain gradients enhances noncentrosymmetry and heightens the interaction between piezoelectricity and flexoelectricity, demanding fully coupled higher-order electromechanical formulations. The numerical instability of the existing finite elements used to model flexoelectricity alone is revealed due to their reliance on the stabilization parameter. Thus, two new finite elements () and () are proposed for mixed FEM that are numerically robust without any need of such stabilization parameters. Additionally, the existing finite element [ in (Deng et al. in J Appl Mech 84:081004, 2017)], is implemented from scratch to replicate known results and benchmark the performance of newly proposed finite elements. To verify the robustness of these elements, various benchmark problems for flexoelectricity in dielectric solids, such as a thick cylinder and truncated pyramid are simulated. The great agreement of the numerical results with the existing ones reflects the foundational nature of the proposed elements. Furthermore, the proposed mixed finite elements were used to successfully analyze cantilever beam and truncated pyramid problems where piezoelectric effects were taken into account for the first time. Current results are intrumental in simulating flexoelectricity and piezoelectricity together to highlight their interactions using newly proposed numerically robust finite elements.
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