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العنوان
Solution of some Torsion Problems
for Nonhomogeneous Elastic Bodies
of Revolution/
المؤلف
RAFAEEL، Fayez E. K.
هيئة الاعداد
باحث / فايز الياس قدسى روفائيل
مشرف / صفاء صادق بشاى
مشرف / حسن أحمد زكى حسن
تاريخ النشر
1995.
عدد الصفحات
IX 128 P:
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات التطبيقية
الناشر
تاريخ الإجازة
1/1/1995
مكان الإجازة
جامعة عين شمس - كلية البنات - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

The Thesis is devoted tthe study of the influence of non-homogeneity on the stressed state of elastic bodies subjected to torsion, in partic­ ular bodies of revolution under mixed boundary conditions. In some cases, the body may include a crack. We obtain analytical expressions for some quantities of physical importance such as the applied torque and the stress intensity factor in terrns of auxiliary functions to be de­ termined from the mathematical solution. Each problem leads to one or two coupled Fredholm integral equations of the second kind, the so­ lutions of which are obtained either numerically or by using Poincare expansions in a small parameter determined from the geometry of the body.
We analyze the obtained results for the numerical values for the
stress intensity factor at the points of discontinuity of the boundary conditions. We also compare our results with those known in the literature.