Journals / Konya Journal of Engineering Sciences / 2012 / Cilt: 27 Sayı: 1

AN AXISYMMETRIC CONTACT PROBLEM FOR A BI-LAYERED TRANSVERSELY ISOTROPIC SLAB RESTING ON A RIGID CIRCULAR SUPPORT

Rijit Çembersel Destek Üzerinde Duran İki Katmanlı Enine-İzotrop Slabın Eksenel Simetrik Temas Problemi

Pages
21–30
Publication Date
2012-03-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Furthermore, numerical results as pressure distributions under the rigid cylindrical block are given for different material combinations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper is concerned with the continuous contact problem of two transversely isotropic layers resting on a circular support.
📊
Key Findings & Data:The external load is applied to the layers by a rigid cylindrical block.
💡
Conclusion & Impact:Furthermore, numerical results as pressure distributions under the rigid cylindrical block are given for different material combinations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Temas problemi · Enine-izotrop malzeme · Rijit silindirik blok

Abstract

This paper is concerned with the continuous contact problem of two transversely isotropic layers resting on a circular support. The external load is applied to the layers by a rigid cylindrical block. It is assumed that the contact between all surfaces is frictionless and body forces are not taken into account. The problem is formulated in terms of singular integral equations obtained from the continuous contact position. Equations are solved numerically by using the Gauss-Chebyshev integration method. Furthermore, numerical results as pressure distributions under the rigid cylindrical block are given for different material combinations.

Özet

Bu makale, çembersel destek üzerinde duran iki adet enine-izotrop katmanın sürekli temas problemini ele almaktadır. Dış yük, katmanlara bir rijit silindirik blok vasıtasıyla tatbik edilmiştir. Tüm yüzeylerin arasındaki temasın sürtünmesiz olduğu kabul edilmiş ve kütle kuvvetleri hesaba katılmamıştır. Problem, sürekli temas konumundan elde edilen tekil integral denklemler cinsinden formüle edilmiştir. Denklemler Gauss-Chebyshev integrasyon yöntemi ile nümerik olarak çözülmüştür. Bunun dışında, rijit silindirik blok altındaki basınç dağılımlarına ait sayısal sonuçlar birçok farklı malzeme kombinasyonları için verilmiştir.

🔖

Cite This Article

BAY, M. İ., DAĞHAN, B., UYANER, M. (2012). AN AXISYMMETRIC CONTACT PROBLEM FOR A BI-LAYERED TRANSVERSELY ISOTROPIC SLAB RESTING ON A RIGID CIRCULAR SUPPORT. Konya Journal of Engineering Sciences, Cilt: 27 Sayı: 1, 21–30. https://ajindex.com/articles/909554

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. Adams, G.G., Zeid, I., 1984, “An Elastic Punch Moving Across the Surface of a Semi-Infinite Solid”, Journal of Applied Mechanics, 51, 622-629
  2. Aksoğan, O., Akavci, S.S., Becker, A.A., 1997, “The solution of the non-symmetrical contact problem of an elastic layer supported by two elastic quarter planes using three different methods”, Journal of Faculty of Engineering-Architecture, Çukurova Univ. Vol. 12, No.2, 1-13.
  3. Avci, A., Bulu, A., Yapici, A., 2006a, "Axisymmetric smooth contact for an elastic isotropic infinite hollow cylinder compressed by an outer rigid ring with circular profile", Acta Mechanica Sinica, Vol. 22, No.1, 46-53.
  4. Avci, A., Yapici, A., Uyaner, M., 2006b, "Contact Problem for a Transversely Isotropic Cylinder Radially Compressed by a Rigid Toroidal Indenter", Science and Engineering of Composite Materials, Vol. 13, 103-113.
  5. Bakırtaş, K., 1980, “The Problem of a an Rigid Punch an a Non-Homogeneous Elastic Half-Space”, International Journal of Engineering Science, Vol. 18, 597-610.
  6. Behrens, E., 1971, “Elastic constants of fiber-reinforced composite with transversely isotropic constituents”, Journal of Applied Mechanics, Vol. 38, 1062-1065.
  7. Civelek, M. B., 1972, The axi-symmetric contact problem for an elastic layer on a frictionless half-space, Ph.D. Thesis, Lehigh University. Civelek, M.B., Erdoğan, F., 1974, “The Axially Symmetric Double Contact Problem for Frictionless Elastic Layer”, International. Journal Solids and Structures, Vol. 10, 639-645.
  8. Dhaliwal, R.S., 1970, “Punch Problem for an Elastic Layer Overlying an Elastic Foundation”, International Journal of Engineering Science, Vol. 8, 273-288.
  9. Erdoğan, F., Gupta, G.D., 1972, “On The Numerical Solution of Singular Integral Equation”, Quarterly Journal of Applied Mathematics, Vol. 29, 525-534.
  10. Fabrikant, V.I., Sankar, T.S., 1986, “Concentrated Force Underneath a Punch Bonded to a Transversely Isotropic Half-Space” International Journal of Engineering Science, Vol. 24, 111-117
  11. Geçit, M.R., Erdoğan, F., 1978, “Frictionless Contact Problem for an Elastic Layer under Axi-symmetric Loading”, International Journal of Solids and Structures, Vol. 14, 771-785.
  12. Geçit, M.R., 1986, “The Axi-symmetric Double Contact Problem for a Frictionless Elastic Layer Indented by an Elastic Layer”, International Journal of Engineering Science, Vol. 24, 1571-1584.
  13. Huntington, H. B., 1958, “The Elastic Constants of Crystals”, International Solid State Physics, Advances in Research and Development, F. Seitz and D