Modeling and analysis of functionally graded cylindrical shell

Sarathchandra, D.T.; Subbu, S. Kanmani; Venkaiah, N.

doi:10.1016/j.matpr.2017.11.556

Cited by 5 publications

(4 citation statements)

References 14 publications

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“…Figure 3 shows the heterogeneous cross-section of the FGM hollow cylinder with dimensions Ri = 30 mm, Ro=50 mm, height=100 mm [15], in which the Young's modulus changes from the inside surface to the outside surface. Since there is no authorized element in all existing FE codes to simulate the mechanical behaviour of FGM, stepwise composition-based FE model has been generally used by some scholars [13]. Similarly, in this work, a composition-based FE model was also developed and implemented into the main program.…”

Section: Fe Modellingmentioning

confidence: 99%

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Analysis of Functionally Graded Cylinders Subjected to Internal Pressure

Sai¹,

Kumar²,

Rao³

et al. 2022

Advances in Science and Technology

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In the present study, A functionally graded cylinder subjected to internal pressure has been analyzed using the finite element method based software ANSYS. The variations of properties of the functionally graded material are considered based on a power-law function. The inner and outer surfaces of the cylinder are made of alumina and C45 steel respectively. The continuous composition of the two materials has been considered in the form of varying elastic modulus and Poisson’s ratio along the radial direction as the power-law function. The result of present approach is compared with analytical result of available literature. The comparison represents good coincidence between analytical and numerical results and confirms the accuracy of solutions presented in the present approach for cylinder made up of FGM. Further the stress distribution of FGM made cylindrical shell for given pressure load conditions have analyzed. Stress distributions along the radial direction are studied. The obtained result shows that the property of FGMs has a significant influence to the deformation and stress distribution along the radial direction. Numerical results presented are useful for engineer to design a cylinder made of FGMs

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Section: Fe Modellingmentioning

confidence: 99%

“…al. [13] performed structural analysis functionally graded cylinder using finite element method. Moheimani et.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Functionally Graded Cylinders Subjected to Internal Pressure

Sai¹,

Kumar²,

Rao³

et al. 2022

Advances in Science and Technology

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“…Reddy and Chin [25] proposed a model based on an FSDTapproach to study the dynamic thermoelastic response of a functionally graded plate and a one-dimensional axisymmetric cylinder. Sarathchandra et al [26] designed a model exclusively developed for cylindrical shells which evaluates stresses caused by mechanical and thermal loads. Also, Poorna and Ram [27] studied vibration modes for cylindrical and spherical shells using piezoelectric materials.…”

Section: Introductionmentioning

confidence: 99%

A Stress Approach Model of Functionally Graded Shells

Rascón

Díaz

Alvarado

2020

Mathematical Problems in Engineering

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This paper presents a model called SAM-FG (stress approach model of functionally graded shells) for linear elastic, thin, and moderately thick shells made of functionally graded materials. The model is an extension of the SAM-H model, originally created for homogeneous shells. Assuming that the material is orthotropic and that one of its orthotropic directions is the thickness direction, the extension consists in considering that the 3D compliance tensor may depend on the thickness coordinate. The model starts with a tunable polynomial approximation of the 3D stress field that contains the same generalized forces as SAM-H. This stress approximation verifies the 3D equilibrium equations and the stress boundary conditions at the faces of the shell. As in SAM-H, 5 generalized displacements appear in SAM-FG. By applying the Hellinger–Reissner functional and Reissner’s variational method, the generalized forces, strains, and equations in SAM-FG turn out to be the same as in SAM-H, except for the generalized constitutive equations. To prove the accuracy of the model, SAM-FG is first applied to a simply supported, functionally graded plate and its results are compared to other models. To validate the model for shell-like structures, SAM-FG results are compared to those obtained with solid finite element calculations for three case studies of structures subjected to an internal pressure. The first one deals with a hollow sphere made of an isotropic functionally graded material. The second case considers a hollow cylinder made of an orthotropic functionally graded material. In the last case, a catenoid with an isotropic functionally graded material is studied. In all cases, the mean displacements are correctly predicted, even if the main purpose of the SAM-FG model is not to calculate these fields accurately. The stress field approximations are very accurate, and since the implementation of the shell model in a finite element code would imply 5 degrees of freedom per node, SAM-FG is a good alternative to solid finite element calculations for the structural analysis of functionally graded shells with a reasonable computational cost.

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“…Shahzamanian et al [2] found the application of functionally graded material for disc brake where heat is generated due to contact friction between brake pad and disk, coulomb friction is taken as a source of heat. Sarathchandra et al [3] analyzed functionally graded cylindrical shell made up of tungsten carbide and structural steel. Bayat et al [4] performed thermo-mechanical analysis of a nonuniform functionally graded disc under steady temperature field and observed, a disc with concave thickness profile is the lightest and the one with a uniform profile is the heaviest in weight.…”

Section: Introductionmentioning

confidence: 99%

Thermo-Mechanical Analysis of Functionally Graded Material Plate under Transverse Loading for Varying Volume Gradation

Shah

2019

AMR

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Functionally graded material (FGM) has a unique design in which material properties vary smoothly and continuously which leads to having better thermal and mechanical performance. Functionally graded material has a wide area of application from the pressure vessel to aerospace due to its tailoring properties. The main emphasis has been made here, to present a structural mechanical and steady-state thermal analysis of functionally graded flat plate made up of aluminum and ceramic. The flat plate is subjected to various boundary and loading condition. Material properties of FGM is calculated across the thickness using power law with the help of MATLAB programming. An analysis is performed for various volume gradation using MACROS in ANSYS APDL. The analysis results for functionally graded materials are compared with a composite sandwich plate for the same boundary conditions. It was found that von-Mises stress generated in FGM is 14.6% less than compared to sandwich structure, the stress in x and y-direction is 16.5% less, XY-Shear is 13.5% less and deflection is 33% less than a sandwich plate of aluminum and ceramic.

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Modeling and analysis of functionally graded cylindrical shell

Cited by 5 publications

References 14 publications

Analysis of Functionally Graded Cylinders Subjected to Internal Pressure

Analysis of Functionally Graded Cylinders Subjected to Internal Pressure

A Stress Approach Model of Functionally Graded Shells

Thermo-Mechanical Analysis of Functionally Graded Material Plate under Transverse Loading for Varying Volume Gradation

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