Exact solutions for stresses in functionally graded pressure vessels

Tütüncü, Naki; Öztürk, Murat

doi:10.1016/s1359-8368(01)00041-5

Cited by 216 publications

(89 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Employing the plain strain assumption and axisymmetry, the strain-displacement and constituve equations are [5],…”

Section: Basic Formulation Of Cylindirical Pressure Vesselmentioning

confidence: 99%

“…The only nontrivial equilibrium equation under assumptions can be written in the following form [5],…”

Section: Basic Formulation Of Cylindirical Pressure Vesselmentioning

confidence: 99%

“…Güven and Baykara specified the distributions of elasticity modulus of functionally graded isotropic spheres with internal pressure according to the constant circumferential stress, and presented corresponding stress distributions in the spheres [4]. Closed form solutions for the stresses through the thickness in FGM hollow cylinders and spheres was obtained by Tütüncü and Öztürk [5]. They used standard type Euler-Cauchy equations in order to solve the problem.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Effect of the Poisson Ratio on Stresses of Heterogeneous Pressure Vessels

Eker

Yarımpabuç²,

Çelebi³

2018

European Mechanical Science

View full text Add to dashboard Cite

Functionally graded materials (FGM) belong to advanced composite materials class whose mechanical properties vary continuously from one surface to another at macro level. Thick walled annular structures are widely used in industry as nuclear reactors, long pipes used for carrying gases/oil, pressure vessels etc. Elastic analysis of FG thick walled cylindrical and spherical pressure vessels subjected only to internal pressure are studied. The material properties (Young' s modulus-Poisson' s ratio) are assumed to obey the power-law function through the wall thickness. Under these assumptions the governing equations of the FG vessels become a two-point boundary value problem. The analytical solution of such an equation can not be obtained except for simple grading functions. Complementary Functions Method is performed to solve governing equation in order to obtain displacement and stress distributions depending on inhomogeneity parameters.

show abstract

“…Employing the plain strain assumption and axisymmetry, the strain-displacement and constituve equations are [5],…”

Section: Basic Formulation Of Cylindirical Pressure Vesselmentioning

confidence: 99%

“…The only nontrivial equilibrium equation under assumptions can be written in the following form [5],…”

Section: Basic Formulation Of Cylindirical Pressure Vesselmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Effect of the Poisson Ratio on Stresses of Heterogeneous Pressure Vessels

Eker

Yarımpabuç²,

Çelebi³

2018

European Mechanical Science

View full text Add to dashboard Cite

show abstract

“…aralıkları kullanılmıştır [11], [21]. Böylece seçilen parametreler gerçek malzeme özelliklerine uygun olur [29].…”

Section: Sayısal Sonuçlarunclassified

“…Diğer bir taraftan, Lutz ve Ferrari [10] radyal doğrultuda doğrusal ve sürekli bir şekilde değişen elastisite modülüne sahip bir küre için temel denklemleri türetmiştir. Tütüncü ve Öztürk [11], You ve diğ. [12], Güven ve Baykara [13] ile Nejad ve Gharibi [14] farklı formlardaki fonksiyonel olarak kademelendirilmiş iç basınç altındaki küresel kapların elastik gerilme durumu için kapalı formda çözümlerini sunmuşlardır.…”

Section: Introductionunclassified

Analysis on multi-layered and functionally graded spherical pressure vessels

Arslan¹

2017

Pamukkale J Eng Sci

View full text Add to dashboard Cite

Analytical solution for three‐dimensional stresses in a short length FGM hollow cylinder

et al. 2007

View full text Add to dashboard Cite

This paper presents the general theoretical analysis of three-dimensional mechanical and thermal stresses for a short hollow cylinder made of functionally graded material. The steady-state temperature, displacements, and stresses distributions are derived due to the general mechanical and thermal boundary conditions, as functions of radial, circumferential and longitudinal directions. The material properties vary continuously along the thickness direction according to power functions of radial direction. The temperature and Navier equations are solved analytically, using the generalized Bessel function and Fourier series. A direct method of solution of Navier equations is presented.

show abstract

Exact solutions for stresses in functionally graded pressure vessels

Cited by 216 publications

References 8 publications

The Effect of the Poisson Ratio on Stresses of Heterogeneous Pressure Vessels

The Effect of the Poisson Ratio on Stresses of Heterogeneous Pressure Vessels

Analysis on multi-layered and functionally graded spherical pressure vessels

Analytical solution for three‐dimensional stresses in a short length FGM hollow cylinder

Contact Info

Product

Resources

About