Document Details

Document Type : Thesis 
Document Title :
STRESS AND DEFORMATION ANALYSIS OF A FUNCTIONALLY GRADED PLATE INTEGRATED WITH PIEZOELECTRIC FACES IN HYGROTHERMAL ENVIRONMENT
تحليل الاجهاد و التشوة لصفيحة متدرجة الخواص متكاملة مع وجود كهروضغطية في بيئة حرارية-رطبة
 
Subject : faculty of science 
Document Language : Arabic 
Abstract : The main goal of this dissertation is to present analysis for stresses and deformations of a functionally graded (FG) plate integrated with faces made from piezoelectric materials under different hygrothermal conditions. The governing equilibrium equations and boundary conditions will be obtained by using the virtual work principle. Navier’s method is adopted for the solution of the equations. Displacement functions that satisfy the boundary conditions will used to minimize the governing equations to a collection of coupled ordinary differential equations with variable coefficients. The material properties of the FG plate are assumed to vary along the thickness direction according to a power law distribution in terms of the volume fraction of the constituents. At first, the bending analysis of an FG plate with two reverse simply supported edges based on a refined quasi three-dimensional (quasi-3D) shear and normal deformation theory with a third-order shape function is presented. This refined theory accounts for the distribution of transvers shear stresses that satisfies the free transverse shear stresses condition on the upper and lower surfaces of the plate. Therefore, the strain distribution does not include the unwanted influences of transverse shear correction factor. The effect of transverse normal strain is included. Unlike the traditional normal and shear deformation theories, the present theory has four unknowns only. The plate is subjected to sinusoidal mechanical load. Secondly, an FG plate integrated with piezoelectric faces is presented by using four-unknown shear deformation plate theory to express the displacement components. The electric potential distribution is composed of a linear function along the thickness direction and a cosine function along the planar coordinate. The plate is under mechanical load and the piezoelectric faces are subjected to an applied voltage. Thirdly, the effects of hygro-thermo-electro-mechanical sinusoidal loadings on FG plates with piezoelectric faces is discussed. The electric potential distribution is composed of a linear function along the thickness direction and a polynomial function along the planar coordinate. Finally, analysis for the bending of exponentially graded (EG) plates attached with a single-layer of piezoelectric fiber reinforced composite (PFRC) actuator is presented. The plate is subjected to sinusoidal electromechanical loadings and resting on Pasternak’s or Winkler’s elastic foundations. The distributions of the electric potential are varied linearly along the thickness direction. All the previously mentioned studies are supported with numerical results. The influence of various parameters such as the applied voltage, material anisotropy, side to-thickness ratio, aspect ratio, inhomogeneity parameter, thermal expansion coefficients, moisture concentration coefficients, Young’s modulus ratio and elastic foundations parameters are investigated. The efficiency and accuracy of numerical results are demonstrated by comparisons with published results. 
Supervisor : Prof. Dr. Ashraf M. Zenkour 
Thesis Type : Doctorate Thesis 
Publishing Year : 1441 AH
2019 AD 
Added Date : Thursday, December 26, 2019 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
رباب عطية الله الغانميAlghanmi, Rabab AtitallahResearcherDoctorate 

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