In this paper, geometrically nonlinear static response of functionally graded piezoelectric (FGP) plate under mechanical and electrical loads is studied by using Mesh-less method. Radial point interpolation method (RPIM) is used to create the shape function and approximate the field variables. The first order shear deformation plate theory (FSDT) and Von Karman strains are used to model the nonlinear behavior of the FGP plate. Power law distribution through the thickness is considered for all mechanical and piezoelectric properties. The Newton–Raphson method is used to solve the obtained nonlinear coupled equations. Comparison study of the present nonlinear piezoelectric RPIM model has been checked and compared the response with the published literature. By using Multi-Quadric (MQ) radial basis function and polynomial basis, the effects of different power law indices, boundary conditions, and mechanical and electrical loads on the nonlinear behavior of FGP plate is investigated. Comparing linear and nonlinear stresses shows that the general linear and nonlinear behavior of FGP plate is same however, the nonlinear analysis has low deflection and stresses. Results show that, the deflection and stresses by varying power law indices have extreme points, so it can be used as benchmark to design FGP sensor and actuators.

Geometrically nonlinear analysis of functionally graded piezoelectric plate using mesh-free RPIM

The group B coxsackieviruses (CVBs) exist in six serotypes (CVB1 to CVB6). Disease associations have been reported for most serotypes, and multiple serotypes can cause similar diseases. For example, CVB1, CVB3, and CVB5 are generally implicated in the causation of myocarditis, whereas CVB1 and CVB4 could accelerate the development of type 1 diabetes (T1D). Yet, no vaccines against these viruses are currently available. In this review, we have analyzed the attributes of experimentally tested vaccines and discussed their merits and demerits or limitations, as well as their impact in preventing infections, most importantly myocarditis and T1D.

https://www.mdpi.com/2076-393X/11/2/274/pdf?version=1676444665

Vaccines against Group B Coxsackieviruses and Their Importance

The analytical solution for static analysis of laminated composite plate integrated with piezoelectric fiber reinforced composite actuator is obtained using a recently developed Trigonometric Zigza...

Analytical modeling of laminated composite plates integrated with piezoelectric layer using Trigonometric Zigzag theory

Weather daily data approximation using point adaptive ellipsoidal neighborhood in scattered data interpolation methods

In the present study, the electro-mechanical responses of smart laminated composite plates with piezoelectric materials are derived using a two-dimensional (2 D) displacement-based non-polynomial h...

Stress analysis of smart composite plate structures

A meshless radial basis function based on partition of unity method (RBF-PUM) is proposed to analyse static problems of piezoelectric structures. The methods of radial basis functions (RBFs) possess some merits: the shape functions have high order continuity; -adaptivity is simpler than mesh-based methods; the shape functions are easily implemented in high dimensional space. The partition of unity method (PUM) easily constructs local approximation. The character of local approximate space can be varied and regarded as -adaptivity. Considering the good properties of the two methods, the RBFs are used for local approximation and the local supported weight functions are used in the partition of unity method. The system equations of the RBF-PUM are derived using the variational principle. The field variables are approximated using the RBF-PUM shape functions which inherit all the advantages of the RBF shape functions such as the delta function property. The boundary conditions can be implemented easily. Numerical examples of piezoelectric structures are investigated to illustrate the efficiency of the proposed method and the obtained results are compared with analytical solutions and available numerical solutions. The behaviors of some parameters that probably influenced numerical results are also studied in detail.

/pdf/a-meshless-radial-basis-function-based-on-partition-of-unity-4kvo10q3os.pdf

A Meshless Radial Basis Function Based on Partition of Unity Method for Piezoelectric Structures

Engineered coxsackievirus B3 containing multiple organ-specific miRNA targets showed attenuated viral tropism and protective immunity.

Chebyshev Legendre Galerkin(CLG) method coupled with higher-order shear and normal deformable plate theory is proposed to analyze free and forced vibrations of laminated composite plates. The laminates of various boundary conditions, side-to-thickness ratios, and material properties are considered by present method and the numerical results agree well with their corresponding analytical solutions. High accuracy, stability and efficiency is illustrated by comparing the presented method with the other methods.

using a higher-order shear and normal deformable plate theory by Chebyshev-Legendre-Galerkin method

Wei Wang 1 School of Urban Rail Transportation, Soochow University 2 School of Mathematical Sciences, Soochow University China wangw@suda.edu.cn Sen Li School of Mathematical Sciences, Soochow University China Shi-Chao Yi School of Mathematics and Physics ,Jiangsu University of Science and Technology China Yishichao831029@sina.com Lin-Quan Yao School of Urban Rail Transportation,Soochow University China Abstract— Chebyshev Legendre Galerkin(CLG) method coupled with higher-order shear and normal deformable plate theory is proposed to analyze free and forced vibrations of laminated composite plates. The laminates of various boundary conditions, side-to-thickness ratios, and material properties are considered by present method and the numerical results agree well with their corresponding analytical solutions. High accuracy, stability and efficiency is illustrated by comparing the presented method with the other methods.

Vibrationanalyses of composite laminates using a higher-order shear and normal deformableplate theory by Chebyshev-Legendre-Galerkin method

In this paper, a pseudo-three-dimensional method is proposed to investigate static behavior analysis of functionally graded (FG) plate integrated with a piezoelectric fiber reinforced composite (PFRC) layer by the hyperbolic shear and normal deformation theory. The present method is a displacement-based theory which accounts for hyperbolic variation of in-plane displacement field and parabolic variation of transverse displacement field. The linear electrical potential function in the PFRC layer is modeled. The governing equations of present method are derived by the minimum potential energy principle and Navier’s procedure is used to solve the equations. Numerical results are presented to demonstrate the efficiency of the proposed method. The effects of some parameters including material composition, aspect ratios, and applied voltages on the deformations of the plate are investigated. Compared with the available data of numerical method and 3D method, the presented method is more suitable for the smart FG structure.

/pdf/pseudo-three-dimensional-analysis-for-functionally-graded-511wspcda4.pdf

Pseudo-Three-Dimensional Analysis for Functionally Graded Plate Integrated with a Piezoelectric Fiber Reinforced Composite Layer

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