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Journals / Çukurova Üniversitesi Mühendislik-Mimarlik Fakültesi Dergisi / 1997 / Cilt: 12 - Sayı: 1

İki elastik çeyrek düzlem ile üzerlerine oturan elastik bir tabakanın simetrik olmayan temas problemenin üç değişik yöntemle çözümü

The solution of the nonsymmetrical contact problem of an elastic layer supported by two elastic quarter planes using three different methods

Orhan AKSOĞAN
Seren AKAVCI
Adib A. BECKER
Pages
1–14
DOI
—
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AI Summary & Key Takeaways

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

The three methods, namely, the integral transform technique jointly used with a numerical solution technique for singular integral equations, the finite element method and the boundary element method, being dependent on completely different mathematical concepts, the very close match among their results is a perfect sign of their reliability.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, the nonsymmetrical plane elasticity problem of an elastic layer supported by two elastic quarter planes has been considered.
📊
Key Findings & Data:The forgoing problem being solved by three different methods, the three solutions were compared and a perfect agreement was observed.
💡
Conclusion & Impact:The three methods, namely, the integral transform technique jointly used with a numerical solution technique for singular integral equations, the finite element method and the boundary element method, being dependent on completely different mathematical concepts, the very close match among their results is a perfect sign of their reliability.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, the nonsymmetrical plane elasticity problem of an elastic layer supported by two elastic quarter planes has been considered. The forgoing problem being solved by three different methods, the three solutions were compared and a perfect agreement was observed. The three methods, namely, the integral transform technique jointly used with a numerical solution technique for singular integral equations, the finite element method and the boundary element method, being dependent on completely different mathematical concepts, the very close match among their results is a perfect sign of their reliability.

Özet

Bu çalışmada, iki elastik çeyrek düzlem ile üzerlerine oturan bir elastik tabakanın simetrik olmayan temas problemi, düzlemsel elastisite problemi olarak incelenmiştir. Bu problem üç değişik yöntemle çözüldükten sonra üç çözüm karşılaştırılmış ve tam bir uyum içerisinde oldukları görülmüştür. Tekil integral denklemlere uygulanabilen sayısal bir çözüm tekniğiyle birlikte integral dönüşüm tekniğinden oluşan yöntem, sonlu elemanlar yöntemi ve sınır elemanlar yöntemi ile gerçekleştirilen bu üç çözümün, birbirlerinden tamamen değişik matematiksel kavramlara dayanıyor olmaları çok yakın uyum gösteren sonuçlarının güvenilirliğinin kesin bir göstergesidir.

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Cite This Article

AKSOĞAN, O., AKAVCI, S., BECKER, A. A. (1997). İki elastik çeyrek düzlem ile üzerlerine oturan elastik bir tabakanın simetrik olmayan temas problemenin üç değişik yöntemle çözümü. Çukurova Üniversitesi Mühendislik-Mimarlik Fakültesi Dergisi, Cilt: 12 - Sayı: 1, 1–14. https://ajindex.com/articles/350530

References (15)

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