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Solution of a Problem of Linear Plane Elasticity in Region between a Circular Boundary with Slot by Boundary Integrals
| المصدر: | مجلة التربوي |
|---|---|
| الناشر: | جامعة المرقب - كلية التربية بالخمس |
| المؤلف الرئيسي: | Deeb, A. S. (Author) |
| مؤلفين آخرين: | Gjam, I. A. S. (Co-Author) |
| المجلد/العدد: | ع23 |
| محكمة: | نعم |
| الدولة: |
ليبيا |
| التاريخ الميلادي: |
2023
|
| الشهر: | يوليو |
| الصفحات: | 140 - 151 |
| ISSN: |
2011-421X |
| رقم MD: | 1407304 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | EduSearch |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Plane Elasticity | Doubly-Connected Domain | Isotropic Medium | Boundary Integral Method
|
| رابط المحتوى: |
| المستخلص: |
A boundary Fourier expansion method is used to solve the system of field equations of plane, linear elasticity in stresses for homogeneous, isotropic media occupying a doubly-connected domain under given pressures on the boundaries. The case is considered: A circular domain with rectangular slot. The boundary values of the relevant harmonic functions are obtained and the error in satisfying the boundary conditions is given. Comparison is carried out between the present results on the boundary and those obtained by the usual boundary collocation method. The stress function and the displacement are calculated inside the domain of the normal cross section. The drawbacks for each method are put in evidence. The obtained results show that the presently used method performs better than BCM for the considered type of domains, and it is thus recommended for use for the evaluation of stresses inside long tubes with cavities. |
|---|---|
| ISSN: |
2011-421X |
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