Buckling of carbon nanotube patterned polymer cylindrical shells under the axial load

Abstract

In this article, the buckling of carbon nanotube (CNT) patterned cylindrical shells subjected to axial compressive load is presented within the framework of shear deformation theory (SDT). The material properties of nanocomposites change as a linear function depending on the thickness coordinate. The basic equations of cylindrical shells with CNT pattern are derived based on Donnell type shell theory and the critical axial load expression is obtained within the framework of SDT by applying Galerkin method. The effects of transverse shear deformations on the critical axial load of functionally graded CNT patterned cylindrical shells are investigated by changing CNT patterns, volume fraction ratio and shell parameters.

Keywords

• Nanocomposite
• Cylindrical shell
• Buckling
• Critical axial load

Karbon nanotüp örüntülü polymer silindirik kabukların eksenel yük etkisi altında burkulması

Öz

Bu makalede, eksenel basınç yüküne maruz kalan karbon nanotüp (KNT) örüntülü silindirik kabukların burkulması, kayma deformasyon teorisi (KDT) çerçevesinde sunulmaktadır. Nanokompozitlerin malzeme özellikleri kalınlık koordinatına bağlı olarak lineer fonksiyon şeklinde değişmektedir. KNT örüntülü silindirik kabukların temel denklemleri Donnell tipi kabuk teorisi baz alınarak türetilmekte ve Galerkin yöntemi uygulanarak kritik eksenel yük ifadesi KDT çerçevesinde elde edilmektedir. Enine kayma deformasyonlarının fonksiyonel olarak derecelendirilmiş (FD) KNT örüntülü silindirik kabukların kritik eksenel yük değerlerine etkileri, KNT örüntüleri, hacim kesir oranı ve kabuk parametreleri değiştirilerek araştırılmaktadır.

Anahtar Kelimeler

• Nanokompozit
• Silindir Kabuk
• Burkulma
• Kritik eksenel yük

Kaynakça

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