Solution for a Problem of the Linear Plane: Theory of Elasticity with Mixed Boundary Conditions on a Cassini Oval by the Method of 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: | ع24 |
| محكمة: | نعم |
| الدولة: |
ليبيا |
| التاريخ الميلادي: |
2024
|
| الشهر: | يناير |
| الصفحات: | 1327 - 1338 |
| ISSN: |
2011-421X |
| رقم MD: | 1455451 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | EduSearch |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Boundary Integral Method | Plane Elasticity | Mixed Boundary Conditions
|
| رابط المحتوى: |
| LEADER | 02162nam a2200229 4500 | ||
|---|---|---|---|
| 001 | 2200775 | ||
| 041 | |a eng | ||
| 044 | |b ليبيا | ||
| 100 | |9 473764 |a Deeb, A. S. |e Author | ||
| 245 | |a Solution for a Problem of the Linear Plane: |b Theory of Elasticity with Mixed Boundary Conditions on a Cassini Oval by the Method of Boundary Integrals | ||
| 260 | |b جامعة المرقب - كلية التربية بالخمس |c 2024 |g يناير | ||
| 300 | |a 1327 - 1338 | ||
| 336 | |a بحوث ومقالات |b Article | ||
| 520 | |b A numerical scheme is proposed for the solution of the system of field equations of plane, linear elasticity in stresses for homogeneous, isotropic media in domain bounded by a cassini oval under mixed boundary conditions. The method is based on previous analytical work within the Boundary Integral Method when the elastic material is homogeneous and isotropic and occupies a simply connected region [1] and [2]. The method proceeds as follows: The given problem with mixed boundary conditions is replaced with two auxiliary problems with homogeneous boundary conditions, one of each type, with a common solution. The unknown boundary values on parts of the boundary will be determined as part of the solution. The resulting system of boundary integral equations is discretized and the problem at this stage is reduced to the solution of a linear system of algebraic equations. The proposed numerical scheme is applied to two problems concerning the Cassini oval, each under a uniform pressure on one-half of the boundary, the other half being fixed. The obtained results are thoroughly discussed. | ||
| 653 | |a العلوم الرياضية |a المعادلات الجبرية |a الأنظمة الخطية |a التكاملات الحدودية | ||
| 692 | |b Boundary Integral Method |b Plane Elasticity |b Mixed Boundary Conditions | ||
| 700 | |9 744672 |a Gjam, I. A. S. |e Co-Author | ||
| 773 | |4 التربية والتعليم |6 Education & Educational Research |c 098 |l 024 |m ع24 |o 1568 |s مجلة التربوي |t Educational Journal |v 000 |x 2011-421X | ||
| 856 | |u 1568-000-024-098.pdf | ||
| 930 | |d y |p y |q n | ||
| 995 | |a EduSearch | ||
| 999 | |c 1455451 |d 1455451 | ||
عناصر مشابهة
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Solution of Problem of Linear Plane Elasticity in Region between an Elliptical Boundary with Cassini Oval Hole by the Boundary Integrals Method
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بواسطة: Deeb, A. S. منشور: (2018) -
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