Thermal stress analysis of functionally graded solid and hollow thick-walled structures with heat generation

Abstract

<jats:sec> <jats:title content-type="abstract-subheading">Purpose</jats:title> <jats:p>This paper aims to present thermal and mechanical stresses in solid and hollow thick-walled cylinders and spheres made of functionally graded materials (FGMs) under the effect of heat generation.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Design/methodology/approach</jats:title> <jats:p>Constant internal temperature and convective external conditions in hollow bodies along with internal heat generation with a combination of outer convective conditions in solid bodies are investigated individually. The effect of the heat convection coefficient on solid bodies is additionally discussed. The variation of the FGM properties in the radial direction is adapted to the Mori–Tanaka homogenization schemes, which produces irregular and two-point linear boundary value problems that are numerically solved by the pseudospectral Chebyshev method.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Findings</jats:title> <jats:p>It has been shown that the selection of the mixtures of FGMs has to be made correctly to keep the thermal and mechanical loads acting on objects at low levels.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Originality/value</jats:title> <jats:p>In this study, both solid and hollow functionally graded cylinders and spheres for different boundary conditions that are as their engineering applications are examined with the proposed method. The results have demonstrated that the pseudospectral Chebyshev method has high accuracy, low calculation costs and ease of application and can be easily adapted to such engineering problems.</jats:p> </jats:sec>

Analisis Stress Pada Bagian Rewinding Mesin Rotogravure

“…Mesin rotogravure terdiri dari beberapa komponen kunci, termasuk silinder cetak, roll penerapan tinta, oven pengering, dan roll pengumpul (Jayadi, 2010;Eker, et al, 2021;Swaminathan, et al, 2017;Ebrahimi, et al, 2016). Silinder cetak adalah elemen inti dalam mesin ini, karena pada permukaannya terdapat pola cetakan yang diinginkan.…”

Transient Heat Conduction Analysis of a Functionally Graded Sphere

“…Bu oluşturulan diferansiyel matris (𝑫 𝑵 ), sol taraftan bir kere 𝒀 ̅ (𝜂, 𝑠) vektörü ile çarpıldığında bu vektörün birinci türevine 𝒀 ̅ ′ (𝜂, 𝑠) = 𝑫 𝑵 𝒀 ̅ (𝜂, 𝑠), iki kere çarpıldığında bu vektörün ikinci türevine 𝒀 ̅ ′′ (𝜂, 𝑠) = 𝑫 𝑵 𝟐 𝒀 ̅ (𝜂, 𝑠), üç kere çarpıldığında bu vektörün üçüncü türevine 𝒀 ̅ ′′′ (𝜂, 𝑠) = 𝑫 𝑵 3 𝒀 ̅ (𝜂, 𝑠) karşılık gelir. Bu şekilde soldan diferansiyel matris ile çarpım yapılarak yüksek mertebeli türev ifadelerine yüksek hassasiyetli yaklaşımlar sağlar [19][20][21].…”

“…Bu koşullar altında, geleneksel analitik yöntemlerle çözülemeyen değişken katsayılı kısmi diferansiyel denklem elde edilmiştir. Hiperbolik ısı iletim problemi, zaman yönünde Laplace dönüşümü, uzay yönünde Chebyshev Pseudospektral Yöntemi kullanılarak çözülmüştür [19][20][21]. Modifiye Edilmiş Durbin Ters Dönüşüm Yöntemi [22] kullanılarakta kısmi diferansiyel denklemin zaman uzayındaki çözümü elde edilmiştir.…”

Mathematical models for the determination of temperature fields in heterogeneous elements of digital devices taking thermo sensitivity into account

“…Наведено розв'язок для сталого стану реакції товстих циліндрів, які піддаються тиску та зовнішньому тепловому потоку на внутрішній поверхні [5]. Виконано термічний аналіз циліндрів різної товщини, виготовлених із функціонально градуйованих матеріалів, які перебувають під впливом неоднорідних теплових потоків, зосереджених на внутрішніх і зовнішніх шарах [6,7]. Робота [8] присвячена визначенню розв'язку нестаціонарної задачі теплопровідності та термоеластичності для функціонально-градієнтних товстих сфер.…”