Search In this Thesis
   Search In this Thesis  
العنوان
Deformation of long thermoelastic rods with normal cross-section bounded by a rectangle under mixed mechanical and thermal boundary conditions by a boundary integral method /
الناشر
Khalaf Hudayban Khalaf Almutairi ,
المؤلف
Khalaf Hudayban Khalaf Almutairi
هيئة الاعداد
باحث / Khalaf Hudayban Khalaf Almutairi
مشرف / Ahmed Fouad Ghaleb
مشرف / Moustafa Saber Aboudina
مشرف / Enaam Khalifa Rawy
تاريخ النشر
2015
عدد الصفحات
113 P. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات التطبيقية
تاريخ الإجازة
11/5/2015
مكان الإجازة
جامعة القاهرة - كلية العلوم - (Classical Applied Mathematics
الفهرس
Only 14 pages are availabe for public view

from 137

from 137

Abstract

A numerical boundary integral scheme is used for the solution of the system of eld equations of plane, linear, thermoelasticity in stresses for homogeneous, isotropic media occupying a simply connected cross-section domain under mixed mechanical and thermal boundary conditions. The problem is solved after smoothing the contour enclosing the domain. The imposed boundary conditions are of three cases. A previously introduced boundary integral method is used to nd an approximate solution to a problem of plane, uncoupled thermoelasticity inside a rectangle. Three problems are considered. Two of these problems were su ering a given variable extension on the half of the boundary enclosing the domain, while the other part is completely xed. These two boundary conditions are used together with the Robin (case III) and Neumann (case II) thermal conditions. The mechanical boundary conditions for the third problem consist of a given variable pressure at half of the boundary and a complete xation condition for the other half together with Dirichlet thermal condition at whole the boundary . The singular behavior of the solution is assumed to be a nite jump at tangential and normal components of the stress tensor at separation points so that it is put in evidence at those points where the boundary conditions change