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العنوان
Rotation of viscoelastic non-homogeneous disks with variable thickness and density /
المؤلف
El-­Azab, Tamer Mohamed Ahmed.
هيئة الاعداد
باحث / تامر محمد أحمد العزب
مشرف / مصطفى نبيل مصطفى علام
مشرف / أشرف زنقور سالم
باحث / تامر محمد أحمد العزب
الموضوع
Anisotropic viscoelasticity. Effective moduli. Composite material. Rotation. Viscoelastic composite material. Rotation of Viscoelastic. Non­homogenous materials. Solid and annular disks.
تاريخ النشر
2005.
عدد الصفحات
105 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات
تاريخ الإجازة
1/1/2005
مكان الإجازة
جامعة المنصورة - كلية العلوم - Mathematics
الفهرس
Only 14 pages are availabe for public view

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from 128

Abstract

In this thesis we study the rotation of viseoelastic non­homogenous disks with variable thickness and density. The method used for solving a given boundary value problem depends on whether the corresponding elastic problem is solved analytically or numerically. The thesis contains three chapters, In Chapter 1 We recapitulate the basic equations of elasticity, which included, dynamical equations of motion, strain­displacement relations, compatibility conditions, boundary conditions axi­symmetric problems, material symmetries and orthotropic materials, non­homogenous materials, and two dimension problems Chapter 2 Devoted to study the linear theory of viscoelasticity for structural anisotropic media. We recapitulate some auxiliary fundamental concepts and basic notations which are used later, the creep test, the relaxation test and correspondence principles. Stress­strain relation for linear viscoelastic anisotropic media is recovered, effective moduli, and methods for solving quasi­static viscoelastic problems in composite materials. Quasi­static problems in nonisotropic is recapitulated and its solution by the generalization of Illyushin?s approximation method for composite material In Chapter 3 Analytical solution is developed for the analysis of deformation and stresses in elastic rotating non­homogenous disks with arbitrary cross­sections of continuously variable thickness and density. The disk may be solid or annular and made of an orthotropic fiber­reinforced viscoelastic composite material with equal or different Young?s moduli. Using the method of effective moduli makes the reduction of the problem to that of a homogeneous anisotropic material. Numerical computations were carried out to solve this problem and the results show that how the displacement and stresses distributions through the radial direction vary with different parameters.