2D thermo elastic behavior of a FG cylinder under thermomechanical loads using a first order temperature theory

Ghannad, Mehdi; Yaghoobi, Mohammad Parhizkar

doi:10.1016/j.ijpvp.2016.12.002

Cited by 21 publications

(10 citation statements)

References 31 publications

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“…But they are not necessarily perpendicular to the middle layer, meaning that the shear strain and the shear stress are taken into consideration. The displacement field for the axisymmetric cylinder is expressed using the FSDT (Ghannad and Parhizkar Yaghoobi, 2015, 2017)…”

Section: Governing Equationsmentioning

confidence: 99%

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Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

Yaghoobi

Ghannad

2020

Journal of Intelligent Material Systems and Structures

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In this research, an analytical solution is presented for the functionally graded piezoelectric cylindrical variable wall thickness that is subjected to mechanical and electrical loading. The non-homogeneous distribution of materials is considered as a power function. The first-order electric potential theory, first-order shear deformation theory, and the energy method are used for extracting the system of governing equations. The solution is accomplished using the matched asymptotic expansion method of the perturbation technique. The effects of non-homogeneous properties on the electromechanical are discussed. Since the intensity of variations in the distribution of properties in functionally graded piezoelectric cylinders can be changed using non-homogeneity constant, the electromechanical behavior of the cylinder can be changed by non-homogeneity constant. By reducing the electric or displacement field in functionally graded piezoelectric cylinders, de-polarization or loss of piezoelectric properties may be averted. Results indicate that non-homogeneity constant has a significant effect on the electromechanical behavior. However, in some cases, the effects of non-homogeneity constant may be neglected. Comparing these results with those predicted by the plane elasticity theory and finite element method shows good agreement. In fact, the present solution can be considered as an objective function to optimize the properties and behavior.

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Section: Governing Equationsmentioning

confidence: 99%

“…The mechanical and electrical resultants are defined as (Ghannad and Parhizkar Yaghoobi, 2015, 2017; Zingoni, 2001)…”

Section: Governing Equationsmentioning

confidence: 99%

Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

Yaghoobi

Ghannad

2020

Journal of Intelligent Material Systems and Structures

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“…With consideration of the constitutive equation for heterogeneous and isotropic materials and thermal strains, the stresses in terms of strains take the form below:

{\begin{cases} σ_{i} = λ E (r) [(1 - υ) ε_{i} + υ (ε_{j} + ε_{k}) - α (r) (1 + υ) Δ T (r, t)] \\ τ_{xz} = \frac{1 - 2 υ}{2} λ E γ_{xz} i \neq j \neq k \\ italicλ = \frac{1}{(1 + υ) (1 - 2 υ)} \end{cases} .

…”

Section: Governing Equationsmentioning

confidence: 99%

“…By defining the strain energy as below and substituting Equations into , the strain energy in terms of strains is obtained

{\begin{cases} left & U = ∭_{V} U^{⁎} d V, d V = r d r d θ d x = (R + z) d x d θ d z \\ left & U^{⁎} = \frac{1}{2} (ε_{x} {bold-italicσ}_{bold-italicx} + ε_{θ} {bold-italicσ}_{θ} + ε_{z} {bold-italicσ}_{bold-italicz} + τ_{x z} γ_{x z}) \\ left & U = \frac{1}{2} E true(r true) λ true[true(1 - υ true) true(ε_{x}^{2} + ε_{θ}^{2} + ε_{x}^{2} true) + 2 υ true(ε_{x} ε_{z} + ε_{x} ε_{θ} + ε_{θ} ε_{z} true) \\ left & + \frac{1 - 2 υ}{2} γ_{x z}^{2} - a false(r false) normalΔ T false(r, t false) false(1 + υ false) (ε_{x} + ε_{θ} + ε_{z})] \end{cases} .

…”

Section: Governing Equationsmentioning

confidence: 99%

“…Hosseini and Akhlaghi studied the transient thermal stresses in an infinitely long thick hollow cylinder made of a FGM under plane strain conditions assuming material properties to be nonlinear with a power law distribution through the thickness. Ghannad and Yaghoobi presented solutions for steady state thermoelastic response of an axisymmetric FGM cylinder subjected to pressure and external heat flux on the inner surface using FSDT and the first order temperature theory. Chaht et al studied the bending response of a FGM plate resting on an elastic foundation and subjected to hygrothermomechanical loading, as a simulation of rocket launch pad foundations.…”

Section: Introductionmentioning

confidence: 99%

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Exact thermoelastic analysis of a thick cylindrical functionally graded material shell under unsteady heating using first order shear deformation theory

Vaziri

Ghannad

Bég

2019

Heat Trans. Asian Res.

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Transient thermal stress analysis for a short thick hollow FGM cylinder with nonlinear temperature-dependent material properties

Najibi

Alizadeh

Ghazifard

2021

J Therm Anal Calorim

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2D thermo elastic behavior of a FG cylinder under thermomechanical loads using a first order temperature theory

Cited by 21 publications

References 31 publications

Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

Exact thermoelastic analysis of a thick cylindrical functionally graded material shell under unsteady heating using first order shear deformation theory

Transient thermal stress analysis for a short thick hollow FGM cylinder with nonlinear temperature-dependent material properties

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