Static Analysis of Functionally Graded Piezoelectric Plates under Electro-thermo-mechanical Loading Using a Meshfree Method Based on RPIM

Document Type : Original Research Paper


Mechanical Engineering Faculty, Sahand University of Technology, Tabriz, Iran.


In this paper, the static response of functionally graded piezoelectric plates under mechanical, electrical, and thermal loads is studied using a meshless method. The Radial Point Interpolation Method (RPIM) is used to create the shape function to approximate field variables. Given that RPIM shape functions pass Kronecker delta condition, boundary conditions can be applied directly. The First-order Shear Deformation Plate Theory (FSDT) is used to model the behavior of the plate. Power law distribution through the thickness is considered for all of mechanical, thermal, and piezoelectric properties. Effective parameters on deflection and stresses of Functionally Graded Piezoelectric
Material (FGPM), including different electrical and mechanical loads, thermal loads, thickness, and different boundary conditions are studied. In this paper, the effect of power law index on the deflection and stresses of the functionally graded piezoelectric plate under external loads is investigated and different results are obtained in each case of mechanical, electrical, and thermal loading. By analyzing the results of this paper, the effective structure design and sensor/actuator behavior of the plate subjected to thermal and electrical loading could be obtained.


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