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040 _aEG-GiCUC
_beng
_cEG-GiCUC
041 0 _aeng
049 _aDeposite
097 _aM.Sc
099 _aCai01.12.17.M.Sc.2015.Ah.D
100 0 _aAhmad Youssef Alali
245 1 0 _aDeformation of long thermoelastic rods with normal cross-section bounded by an ellipse with elliptical hump under mixed mechanical and thermal conditions by a boundary integral method /
_cAhmad Youssef Alali ; Supervised Ahmed Fouad Mohamed Fouad Ghaleb , Moustafa Saber Aboudina , Enaam Khalifa Rawy
246 1 5 _aتشوه القضبان الطويلة من مادة مرنة حرارية ذات مقطع عمودي محدد بقطع ناقص عليه نتوء على هيئة جزء من قطع ناقص تحت تأثير شروط حدية ميكانيكية و حرارية مختلطة بطريقة التكاملات الحدية
260 _aCairo :
_bAhmad Youssef Alali ,
_c2015
300 _a95 P. :
_bcharts ;
_c25cm
502 _aThesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics
520 _aA 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 ap- proximate solution to a problem of plane, uncoupled thermoelasticity inside an ellipse with elliptical hump. Three problems are considered. Two of this problems was su ering a given variable pressure on the half of the, bound- ary enclosing the domain, while the other part is completely xed. This two boundary conditions was formed together with thermal Robin (case I) and Neu- mann (case II). While mechanical boundary conditions for the third problem was given variable extension at half of the boundary and a completely xed 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 condi- tions change. The solution is then sought for in the form of series in Cartesian regular harmonics, enriched with a specially chosen harmonic function with sin- gular boundary behavior to simulate the existing singularities. The results are analyzed in detail and the functions of practical interest are represented on the boundary and also inside the domain by three-dimensional plots. This model may be useful in analyzing the stresses that arise in long elastic pad supports
530 _aIssued also as CD
653 4 _aBoundary integral method
653 4 _aMixed boundary conditions
653 4 _aPlane uncoupled thermoelasticity
700 0 _aAhmed Fouad Mohamed Fouad Ghaleb ,
_eSupervisor
700 0 _aEnaam Khalifa Rawy ,
_eSupervisor
700 0 _aMoustafa Saber Aboudina ,
_eSupervisor
856 _uhttp://172.23.153.220/th.pdf
905 _aNazla
_eRevisor
905 _aSoheir
_eCataloger
942 _2ddc
_cTH
999 _c54429
_d54429