Document Details

Document Type : Thesis 
Document Title :
Benchmark solutions for hygrothermal analysis of cross-ply laminates and sandwich plates
الحلول القياسية لتحليل الرطوبة الحرارية للرقائق الشطرنجية والصفائح ثلاثية الطبقات
 
Subject : mathematics department 
Document Language : Arabic 
Abstract : This thesis is devoted to study the pending response of symmetric and anti-symmetric cross-ply laminated rectangular plates in a hygrothermal environment by using a unified shear deformation plate theory. Some of the basic concepts of the theory of elasticity and laminated composites are presented. The fundamental principles of elasticity theory such as equilibrium equations and Hooke's law for different elastic materials are given. Specific cases of elastic materials and engineering constants are also given. An overview on the classical plate theory and some of the shear deformation theories is presented. The present plate theory enables the trial and testing of different through-the-thickness transverse shear-deformation distributions and, among them, strain distributions that do not involve the undesirable implications of the transverse shear correction factors. The static Hamilton's variational principle has been used to give the governing equilibrium equations and boundary conditions for the laminated plates. Displacement functions that identically satisfy boundary conditions are used to reduce the governing equations to a set of coupled ordinary differential equations with variable coefficients. The validity of the present theory is demonstrated by comparison with the solutions available in the literature. Numerical results for deflection and stresses are presented. The effects of different types of sinusoidal hygrothermo-thermo-mechanical loadings are investigated. The influence of various parameters such as material anisotropy, aspect ratio, side-to-thickness ratio, thermal expansion coefficients ratio and stacking sequence on the hygrothermally induced response is also discussed. Finally, the bending response of deflections and stresses in the hygrothermal environment and thermal environment with comparisons between classical plate theory and different shear deformations theories are presented and discussed. 
Supervisor : Prof. Dr. Ashraf M. Zenkour 
Thesis Type : Master Thesis 
Publishing Year : 1433 AH
2012 AD 
Co-Supervisor : Prof. Dr. Daoud S. Mashat 
Added Date : Tuesday, June 5, 2012 

Researchers

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

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