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Journals / Selçuk Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi / 2000 / Cilt: 15 - Sayı: 2

Enine izotrop sonsuz bir plakada bulunan halka şeklindeki bir çatlağa ait gerilme şiddet faktörleri

The stress intensity factors in a transversely isotropic infinitely layer contains ring shaped crack

Necati ATABERK
Ahmet AVCI
Pages
86–92
DOI
—
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AI Summary & Key Takeaways

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

The results for different transversely isotropic materials were given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study the elastic problem for a finite tihckness elastic-perfectly plastik transversely isotropic layer containing a ring shaped crack is anlyzed.
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Key Findings & Data:The problem is reduced to a singular integral equation by using Hankel transform technique.
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Conclusion & Impact:The results for different transversely isotropic materials were given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study the elastic problem for a finite tihckness elastic-perfectly plastik transversely isotropic layer containing a ring shaped crack is anlyzed. The problem is reduced to a singular integral equation by using Hankel transform technique. The dominant part of the governing equation has a simple logarithmic type (Cauchy type) singularity. For obtaining stress intensity factors, this integral equation is solved by using numerical solution technique. The results for different transversely isotropic materials were given.

Özet

Bu çalışmada sonlu kalınlıktaki enine izotrop elastik-tam plastik bir plakada bulunan halka şeklindeki çatlağa ait elastik problem incelenmiştir. Problem Hankel dönüşüm tekniği kullanılarak tekil integral denklemine indirgenmiştir. Ele alınan denklemin belirleyici kısmında basit logaritmik tip (Cauchy tipi) tekillik vardır. Gerilme şiddet faktörlerinin bulunması için bu integral denklemi, sayısal çözüm tekniği kullanılarak çözülmüştür. Farklı enine izotrop malzemeler için sonuçlar verilmiştir.

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Cite This Article

ATABERK, N., AVCI, A. (2000). Enine izotrop sonsuz bir plakada bulunan halka şeklindeki bir çatlağa ait gerilme şiddet faktörleri. Selçuk Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, Cilt: 15 - Sayı: 2, 86–92. https://ajindex.com/articles/318151

References (4)

  1. Behrens, E., 1971, Elastic Constants of Fiber Reinforced Composites With Transversely Isotropic Constituents, Journal of applied mechanics, 1062-1065.
  2. Delale, F. and Erdoğan, F., 1983, The Crack Problem for a Nonhomogeneous Plane, Journal Of Applied Mechanics, 50, 609-614.
  3. Konishi, Y. and Atsumi, A., 1973, Crack Problem of Transversely Isotropic Strip, Int.J. Engng. Sci., vol. 11,9-20.
  4. Lekhnitski, S.G., 1981, Theory of Elasticity of an Anisotropic Body, Mir publishers Moscow. Uyaner, M., Akdemir, A., Erim, S. and Avcı, A., 2000, Plastic zones in a transversely isotropic solid cylinder containing a ring-şhaped crack, Int. Journal of Fracture, vol.106 (2), 161-175.