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Journals / Çukurova Üniversitesi Mühendislik-Mimarlik Fakültesi Dergisi / 2007 / Cilt: 22 - Sayı: 1

Formulation of two diwensional elastostatic problems with boundary element method

İki boyutlu elastostatik promblemlerin sınır eleman metodu ile formülasyonu

İbrahim Ö. DENEME
Hüseyin R. YERLİ
Pages
163–180
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results of two elastostatic problems obtained using the program are compared with those in the literature.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, a discontinuous quadratic boundary element formulation for the solution of two dimensional elastostatic problems is presented. 1/r and Ln(1/r) singularities that exist when source point P and varied point Q are within same element either removed or manipulated by using Logarithmic and Standard Gauss quadrature.
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Key Findings & Data:A computer program, which allows the to determine the location of boundary element nodes within an element, is developed for solving the formulation by using Fortran77 codes.
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Conclusion & Impact:The results of two elastostatic problems obtained using the program are compared with those in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, a discontinuous quadratic boundary element formulation for the solution of two dimensional elastostatic problems is presented. 1/r and Ln(1/r) singularities that exist when source point P and varied point Q are within same element either removed or manipulated by using Logarithmic and Standard Gauss quadrature. A computer program, which allows the to determine the location of boundary element nodes within an element, is developed for solving the formulation by using Fortran77 codes. The results of two elastostatic problems obtained using the program are compared with those in the literature.

Özet

Bu çalışmada, iki boyutlu elastostatik problemler için süreksiz kuadratik sınır eleman formülasyonu gerçekleştirilmiştir. P sabit ve Q hareketli noktalarının aynı eleman üzerinde olması halinde ortaya çıkan, 1/r tekilliği kaldırılarak, Ln(1/r) tekilliği ise uygun Logaritmik ve Standart Gauss yöntemlerinin kullanılmasıyla giderilmiştir. Ele alınan formülasyon kullanılarak, düğüm noktalarının farklı konumları için çözüm yapabilen, Fortran77 dilinde bir bilgisayar programı hazırlanmıştır. Hazırlanan program ile çözülen iki adet elastostatik problemin sonuçları, literatürde verilen sonuçlarla karşılaştırılmıştır.

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Cite This Article

DENEME, İ. Ö., YERLİ, H. R. (2007). Formulation of two diwensional elastostatic problems with boundary element method. Çukurova Üniversitesi Mühendislik-Mimarlik Fakültesi Dergisi, Cilt: 22 - Sayı: 1, 163–180. https://ajindex.com/articles/350737

References (12)

  1. Brebbia,C.A., Dominguez,J., “Boundary Elements An Introductory Course”, Computational Mechanics Publications, Southampton, 1989
  2. Becker,A.A., “The Boundary Element Method in Engineering”, McGraw-Hill Book Company, London, 1992
  3. Banerjee,P.K., “ The Boundary Element Methods in Engineering”, McGraw-Hill Book Company, London, 1994
  4. Aliabadi,M.H. “The Boundary Element Method Applications in Solids and Structures”, John Wiley & Sons Limited, West Sussex, 2002
  5. Beskos,D.E., “Boundary Element Methods in Mechanics”, Elsevier Science Publishers, Amsterdam, 1987
  6. Brebbia,C.A., Telles,J.C.F. ve Wrobel,L.C., “Boundary Element Techniques”, Springer, New York, 1984
  7. Wrobel,L.C., “The Boundary Element Method Applications in Thermo-Fluids and Acoustics”, John Wiley & Sons Limited, West Sussex, 451 s. 2002
  8. Severcan,M.H., “Dinamik Yapı-Zemin Etkileşim Problemleri İçin Sınır Eleman Formülasyonu”, Doktora Tezi, Ç.Ü. Fen Bilimleri Enstitüsü, 2004
  9. Mengi,Y., Tanrıkulu, A.H. and Tanrıkulu, A.K., “Boundary Element Method for Elastic Media, An Introduction”, ODTÜ Basım İşliği, Ankara, 1994
  10. Press,W.H., Flannery,B.P., Teukolsky,S.A., and Vetterling,V.T., “Numerical Recipes”, Cambridge University Press, New York, 1986
  11. Timeshenko,S.P., Goodier,J.N., “Theory of Elasticity”, McGraw-Hill Book Company, NewYork, 1970
  12. Saada,A.S., “Elasticity Theory and Applications”, Pergamon Press Inc., New York, 1974.