![](/images/graphics-bg.png)
Solution of a Problem Linear Plane Elasticity with Mixed Boundary Conditions by the Method of Boundary Integrals
المؤلف
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-11، 11ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2014-05-08
دولة النشر
مصر
عدد الصفحات
11
التخصصات الرئيسية
الملخص EN
A numerical boundary integral scheme is proposed for the solution to the system of eld equations of plane.
The stresses are prescribed on one-half of the circle, while the displacements are given.
The considered problem with mixed boundary conditions in the circle is replaced by two problems with homogeneous boundary conditions, one of each type, having a common solution.
The equations are reduced to a system of boundary integral equations, which is then discretized in the usual way, and the problem at this stage is reduced to the solution to a rectangular linear system of algebraic equations.
The unknowns in this system of equations are the boundary values of four harmonic functions which define the full elastic solution and the unknown boundary values of stresses or displacements on proper parts of the boundary.
On the basis of the obtained results, it is inferred that a stress component has a singularity at each of the two separation points, thought to be of logarithmic type.
The results are discussed and boundary plots are given.
We have also calculated the unknown functions in the bulk directly from the given boundary conditions using the boundary collocation method.
The obtained results in the bulk are discussed and three-dimensional plots are given.
A tentative form for the singular solution is proposed and the corresponding singular stresses and displacements are plotted in the bulk.
The form of the singular tangential stress is seen to be compatible with the boundary values obtained earlier.
The efficiency of the used numerical schemes is discussed.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Hussein, Nahed S.. 2014. Solution of a Problem Linear Plane Elasticity with Mixed Boundary Conditions by the Method of Boundary Integrals. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-463429
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Hussein, Nahed S.. Solution of a Problem Linear Plane Elasticity with Mixed Boundary Conditions by the Method of Boundary Integrals. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-463429
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Hussein, Nahed S.. Solution of a Problem Linear Plane Elasticity with Mixed Boundary Conditions by the Method of Boundary Integrals. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-463429
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-463429
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
![](/images/ebook-kashef.png)
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر
![](/images/kashef-image.png)