Elastic analysis of thick-walled pressurized spherical vessels coated with functionally graded materials

Abstract

In recent years, functionally graded material (FGM) has been widely explored in coating technology amongst both academic and industry communities. FGM coatings are suitable substitutes for many typical conventional coatings which are susceptible to cracking, debonding and eventual functional failure due to the mismatch of material properties at the coating/substrate interface. In this study, a thick spherical pressure vessel with an inner FGM coating subjected to internal and external hydrostatic pressure is analyzed within the context of three-dimensional elasticity theory. Young’s modulus of the coating is assumed to vary linearly or exponentially through the thickness, while Poisson’s ratio is considered as constant. A comparative numerical study of FGM versus homogeneous coating is conducted for the case of vessel under internal pressure, and the dependence of stress and displacement fields on the type of coating is examined and discussed

Exact elastic analysis of a doubly coated thick circular plate using functionally graded interlayers

“…(17) is then introduced in the stress and displacement representation forms [Eqs. (8), (9)]. Finally, using Eq.…”

“…Analytical and numerical analysis of structures consisted of FGM coating layers has been recently studied [8][9][10][11][12][13]. In most of them, deformation of FGM coating on homogeneous substrate is investigated in the framework of the elasticity theory where the material composition is assumed to vary smoothly based on some mathematical models including linear, exponential and power functions.…”

Analysis on multi-layered and functionally graded spherical pressure vessels

“…Denklemler (24) ve (25), denklem (20)'ye yerleştirilir ve denklem (19) ile birlikte ve için çözülürse,…”

“…Bir diğer çalışmada, Chen ve Lin [18], dış basıncın fonksiyonel olarak kademelendirilmiş kapta oluşturduğu yer değiştirme bileşenlerine etkilerini, sayısal bir model kullanarak incelemiştir. Sadece iç yüzeyi fonksiyonel olarak kademelendirilmiş bir malzeme ile kaplanan kalın duvarlı küresel kabın deformasyon davranışı Atashipour ve ekibi [19] tarafından incelenmiştir. Carrera ve Soave [20], iki homojen tabaka arasına yerleştirilen kademelendirilmiş tabakanın avantajlarını araştırmışlardır.…”

Electro-elastic analysis of a coated spherical piezoceramic sensor

“…It was assumed that the elasticity modulus of the FG coating layers varies exponentially through the thickness, whereas Poisson's ratio remains constant. Atashipour et al [7] analyzed a thick spherical pressure vessel with an inner FGC subjected to internal hydrostatic pressure using 3D-elasticity theory. They examined different material properties variation patterns to tailor Young's modulus of the coating in accordance to prescribed performance.…”