Yıl 2018, Cilt 21, Sayı 1, Sayfalar 77 - 85 2018-03-30

İki Enklüzyon ve Bir İç Çatlak İçeren Sonsuz Silindir
Infinite Cylinder with an Internal Crack and Two Inclusions

AYŞE RUŞEN DURUCAN [1]

102 117

Bu çalışmada elastik ve izotropik malzemeden imal edilmiş, halka şeklinde bir iç çatlak ve daire şeklinde iki adet rijit enklüzyon içeren sonsuz bir silindir incelenmiştir. İncelenen silidir iki ucundan eksenel yüke tabi tutulmuştur. Eksenel yüklenmiş sonsuz silindiri içeren karmaşık problem iki problemin süperpoze edilmesiyle çözülmüştür. Bu problemler: (i) çatlak veya enklüzyon içermeyen sonsuzda yüklenmiş bir sonsuz silindir, (ii)  yükleme altında olmayan, halka şeklinde bir iç çatlak ve iki daire şekilli enklüzyon içeren sonsuz silindirdir. İlgili Navier eşitlikleri, Hankel ve Fourier dönüşümleri kullanılarak çözülerek, ilgilenilen probleme yönelik genel ifadeler elde edilmiştir. Sonra, problem üç adet tekil integral denklemine indirgenmiş ve ilgili doğrusal cebrik denklem takımı Gauss- Lobatto integrasyon formülleri kullanılarak sayısal yöntemlerle çözülmüştür.

An infinite cylinder, of isotropic and linearly elastic material, with an internal ring shaped crack and two penny shaped rigid inclusions was considered in this study. The considered cylinder was subjected to axial tensile forces from its two ends. The complex problem of the axially loaded infinite cylinder was solved by using the superposition of two problems including: (i) an infinite cylinder, without any cracks or inclusions, loaded at infinity and (ii) an infinite cylinder with an internal ring shaped crack and two penny shaped inclusions and free of loading. Associated Navier equations are solved with Fourier and Hankel transforms to obtain general expressions for the considered problem. Then, the considered problem is reduced to three singular integral equations and numerically solved by using Gauss-Lobatto integration formula with associated system of linear algebraic equations.

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Birincil Dil en
Konular İnşaat Mühendisliği
Dergi Bölümü İnşaat Mühendisliği
Yazarlar

Yazar: AYŞE RUŞEN DURUCAN (Sorumlu Yazar)
Ülke: Turkey


Bibtex @araştırma makalesi { ksujes360093, journal = {Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi}, issn = {}, eissn = {1309-1751}, address = {Kahramanmaraş Sütçü İmam Üniversitesi}, year = {2018}, volume = {21}, pages = {77 - 85}, doi = {10.17780/ksujes.360093}, title = {Infinite Cylinder with an Internal Crack and Two Inclusions}, key = {cite}, author = {DURUCAN, AYŞE RUŞEN} }
APA DURUCAN, A . (2018). Infinite Cylinder with an Internal Crack and Two Inclusions. Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi, 21 (1), 77-85. DOI: 10.17780/ksujes.360093
MLA DURUCAN, A . "Infinite Cylinder with an Internal Crack and Two Inclusions". Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi 21 (2018): 77-85 <http://jes.ksu.edu.tr/issue/33456/360093>
Chicago DURUCAN, A . "Infinite Cylinder with an Internal Crack and Two Inclusions". Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi 21 (2018): 77-85
RIS TY - JOUR T1 - Infinite Cylinder with an Internal Crack and Two Inclusions AU - AYŞE RUŞEN DURUCAN Y1 - 2018 PY - 2018 N1 - doi: 10.17780/ksujes.360093 DO - 10.17780/ksujes.360093 T2 - Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi JF - Journal JO - JOR SP - 77 EP - 85 VL - 21 IS - 1 SN - -1309-1751 M3 - doi: 10.17780/ksujes.360093 UR - http://dx.doi.org/10.17780/ksujes.360093 Y2 - 2018 ER -
EndNote %0 Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi Infinite Cylinder with an Internal Crack and Two Inclusions %A AYŞE RUŞEN DURUCAN %T Infinite Cylinder with an Internal Crack and Two Inclusions %D 2018 %J Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi %P -1309-1751 %V 21 %N 1 %R doi: 10.17780/ksujes.360093 %U 10.17780/ksujes.360093
ISNAD DURUCAN, AYŞE RUŞEN . "İki Enklüzyon ve Bir İç Çatlak İçeren Sonsuz Silindir". Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi 21 / 1 (Mart 2018): 77-85. http://dx.doi.org/10.17780/ksujes.360093