TY - JOUR T1 - Investigation of power law index as a design criterion of statically loaded multilayered functionally graded piezoelectric plate in thermal environments TT - بررسی تأثیر ثابت توانی به‌عنوان معیاری برای طراحی استاتیکی ورق چند لایه پیزوالکتریک هدفمند در بارگذاری حرارتی JF - mdrsjrns JO - mdrsjrns VL - 15 IS - 12 UR - http://mme.modares.ac.ir/article-15-7416-en.html Y1 - 2016 SP - 405 EP - 415 KW - Piezoelectric KW - FGPM KW - Finite element KW - Thermal loading N2 - This paper investigates static behavior of multilayered functionally grated piezoelectric plates under thermal loads. The plate with functionally graded piezoelectric material (FGPM) is assumed to be graded through the thickness by a simple power law distribution in terms of the volume fractions of the constituents. Considering the thermal coefficients of piezoelectric material in the constitutive equations (the terms that will couple temperature effects to the piezoelectric properties, named pyroelectric constants) and using the kinematic assumptions of first-order shear plate theory (FSDT), the constitutive equation of FGP plate is written. Then, by using principle of virtual work, the governing equations of a FGP plate is obtained. These equations are solved by finite element method using eight node shell element. Functionally graded piezoelectric plate under static loading, different layers and boundary conditions are considered and results in various thermal loadings have been obtained. Deflection and voltage results for different power law exponent and different boundary conditions are shown. In this paper, the influence of power law index on the static behavior of FGPM plate (including deflection and voltage) under thermal loading is investigated. These responses can be used as a criteria for design of FGP sensors and actuators in the thermal environment. M3 ER -