Elastic analysis of pressurized thick FGM cylinders with exponential variation of material properties using TSDT

Ghannad, Mehdi; Gharooni, Hamed

doi:10.1590/1679-78251491

Cited by 15 publications

(7 citation statements)

References 16 publications

(15 reference statements)

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“…The material properties of sphere are described by power law function which are given by [20] E (r) = Ea(r) n1 (6) α (r) = αa(r) n2 (7) k (r) = ka(r) n3 (8) ρ (r) = ρa(r) n4 (9) q (r) = qa(r) n5 (10) Where, E (r), α (r), k (r), ρ (r), q(r) are elastic modulus, thermal expansion coefficient, thermal conduction coefficient density and heat generation at any radius respectively. Ea, αa, ka, ρa, qa are material properties as described above at inner radius and n 1 , n 2 , n 3 , n 4 , n 5 are material index respectively.…”

Section: Mathematical Formulationmentioning

confidence: 99%

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Exact solution for the thermo-elastic deformation and stress states of FG rotating spherical body

Sahu

Sondhi

Bhowmick

et al. 2020

Journal of the Mechanical Behavior of Materials

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In this paper, a generalized solution for 1-D steady-state mechanical and thermal deformation and stresses in rotating hollow functionally graded spherical body is presented. Spherical shells are treated under mechanical and thermal loads in the form of rotational body force with heat generation. Temperature distribution is assumed to vary along the radial direction due to variable heat generation. General uniform mechanical boundary condition at inner and outer surfaces along with prescribed temperatures at both the ends are assumed as boundary conditions. In the present study, material properties are taken as power function of radius with grading parameter ranging between −2 to 3. Governing differential equation with variable coefficient is developed and solved to find deformation and stresses. The obtained results are verified with benchmark results and are found to be in good agreement. Results show that deformation and stresses decrease with an increase in the value of grading parameter and are less as compared to the homogeneous body.

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Section: Mathematical Formulationmentioning

confidence: 99%

“…Rotating disk, cylinder and sphere with variable thickness are analysed and reported in [6]. Thermo-elastic, thermomechanical stress analysis has been conducted in few literatures [7][8][9][10]. Semi exact solution of non uniform disk was analysed and presented in [11] and [12].…”

Section: Introductionmentioning

confidence: 99%

Exact solution for the thermo-elastic deformation and stress states of FG rotating spherical body

Sahu

Sondhi

Bhowmick

et al. 2020

Journal of the Mechanical Behavior of Materials

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“…By dividing the cylinder into some homogeneous sub-cylinders, an arbitrarily graded circular hollow cylinder was studied semi-analytically under arbitrarily nonuniform pressure loads by Li and Liu [38]. First-order shear deformation theory was used by Ghannad and Gharooni [40] in the elastic analysis of pressurized thick FGM cylinders with exponential variation material properties. Sachdeva and Padhee [41] solved the 2D problem by employing the variational asymptotic method (VAM).…”

Section: Introductionmentioning

confidence: 99%

The best grading pattern selection for the axisymmetric elastic response of pressurized inhomogeneous annular structures (sphere/cylinder/annulus) including rotation

Yıldırım

2020

J Braz. Soc. Mech. Sci. Eng.

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Many models were offered in the literature to simulate the material gradation patterns within the functionally graded metalceramic structures. The present study provides a comprehensive and comparative numerical examination of the displacement and stress distributions in the three types of annular structures, namely spheres, cylinders, and annuli by gathering most of models up. To this end, an efficacious and accurate numerical method, the complementary functions method, is exploited in the numerical determination of the elastic fields with several material-grading patterns under internal pressure including centrifugal forces to search the best one exhibiting desired elastic axisymmetric behavior of such structures. A functionally graded material, viz., a particle reinforced composite, is assumed to be composed of an aluminum oxide (ceramic/Al 2 O 3) and a stainless steel (metal/SUS-410). Different grading patterns are formed by using several material grading rules such as a simple power rule, an exponential rule, a linear function, a Voigt mixture with power of volume fractions of constituents, a Mori-Tanaka scheme, Chung and Chi's Sigmoid function, Chen and Lin's sine rule, Dryden and Jayaraman's combined power and exponential rule, and finally Tornabene's four-parameter symmetric/asymmetric power functions. Variation of the elastic fields is presented in both tabular and graphical forms. Combined effects of both the pressure and rotation are also studied for cylinders and annuli having aspect ratios of 0.6 and 0.9. It is observed in the chosen patterns that a pattern with gradually increasing ceramic constituents toward a full ceramic layer at the outer surface is found as the best under pressure loads. Combined pressure plus centrifugal forces require a pattern having a full ceramic layer at the inner surface following a decreasing pattern with ceramic constituent toward the outer surface. The results with plain stress assumption are found somewhat higher than the results with generalized plane strain. As expected, the spheres have significantly smallest elastic fields than the others under the same pressure loads and aspect ratios.

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“…In this regards, so many studies have been done to compute time dependent responses of the both isotropic and anisotropic cylinders (Huang, 1969;Keles and Tutuncu, 2009;Shakeri et al 2006;Baba and Keles, 2015;Ghannad and Gharooni, 2015). In most of these researches, the time dependency of the governing equation has been eliminated utilizing the Laplace transform (Huang, 1969;Keles and Tutuncu, 2009;Baba and Keles, 2015).…”

Section: Introductionmentioning

confidence: 99%

An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders

Movahedian

Botshekan

2017

Lat. Am. j. solids struct.

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In this paper, we propose a time domain analytical solution for the forced vibration analysis of thick-walled hollow cylinders in presence of polar orthotropy. In this regard, solution of the governing equation is decomposed into two parts. The role of the first one is to satisfy boundary conditions utilizing the method of separation of variables besides of Fourier series expansion of the non-homogenous boundary conditions. The second part has been also expressed as the series of orthogonal characteristic functions with the aim of satisfaction of initial conditions. The proposed analytical solution has been implemented to evaluate the dynamic response of the cylinder in solution of some sample problems which are chosen from previous studies.

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Elastic analysis of pressurized thick FGM cylinders with exponential variation of material properties using TSDT

Cited by 15 publications

References 16 publications

Exact solution for the thermo-elastic deformation and stress states of FG rotating spherical body

Exact solution for the thermo-elastic deformation and stress states of FG rotating spherical body

The best grading pattern selection for the axisymmetric elastic response of pressurized inhomogeneous annular structures (sphere/cylinder/annulus) including rotation

An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders

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