Steady state thermal and mechanical stresses of a poro-piezo-FGM hollow sphere

Jabbari, Mohsen; Karampour, S.; Eslami, M. R.

doi:10.1007/s11012-012-9625-3

Cited by 43 publications

(12 citation statements)

References 22 publications

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“…(23)(24)(25)(26)(27)(28), the superscript n = 1, 2, 3 refers to structure/coating system, i.e. HMV/HMC, HMV/L-FGC and HMV/E-FGC, respectively.…”

Section: Boundary and Continuity Conditionsmentioning

confidence: 99%

“…; D n 4 in Eqs. (24)(25)(26)(27)(28) are presented in Appendix. Using the obtained coefficients and Eqs.…”

Section: Boundary and Continuity Conditionsmentioning

confidence: 99%

“…They obtained the equilibrium equations based on the first-order theory of shells and the Sanders nonlinear kinematics equations. Jabbari et al [24] presented an analytical solution for thermomechanical response of a functionally graded piezoelectric porous material (FGPPM) hollow sphere. The gradation effect was modeled via a power law distribution.…”

Section: Introductionmentioning

confidence: 99%

“…Comparison of through-thickness variation of dimensionless circumferential stress for internally coated thick-walled spheres with three different coating systems for:a G i /G o = 0.9, b G i /G o = 0.6, c G i /G o = 0.3 and d G i /G o = 0.1Components of coefficients matrices in Eqs (24)(25)(26)(27)(28)…”

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confidence: 99%

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Elastic analysis of thick-walled pressurized spherical vessels coated with functionally graded materials

2014

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In recent years, functionally graded material (FGM) has been widely explored in coating technology amongst both academic and industry communities. FGM coatings are suitable substitutes for many typical conventional coatings which are susceptible to cracking, debonding and eventual functional failure due to the mismatch of material properties at the coating/substrate interface. In this study, a thick spherical pressure vessel with an inner FGM coating subjected to internal and external hydrostatic pressure is analyzed within the context of three-dimensional elasticity theory. Young’s modulus of the coating is assumed to vary linearly or exponentially through the thickness, while Poisson’s ratio is considered as constant. A comparative numerical study of FGM versus homogeneous coating is conducted for the case of vessel under internal pressure, and the dependence of stress and displacement fields on the type of coating is examined and discussed

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“…(23)(24)(25)(26)(27)(28), the superscript n = 1, 2, 3 refers to structure/coating system, i.e. HMV/HMC, HMV/L-FGC and HMV/E-FGC, respectively.…”

Section: Boundary and Continuity Conditionsmentioning

confidence: 99%

“…; D n 4 in Eqs. (24)(25)(26)(27)(28) are presented in Appendix. Using the obtained coefficients and Eqs.…”

Section: Boundary and Continuity Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Elastic analysis of thick-walled pressurized spherical vessels coated with functionally graded materials

2014

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“…In [15], a three-dimensional analytical piezothermoelastic solution is presented for a functionally graded piezoelectric spherical shell subjected to various thermal boundary condition using the state space method. Furthermore, in [16], an exact solution is developed to obtain the mechanical and thermal stress and the electrical potential functions, the electrical and mechanical displacement in the two-dimensional steady-state (r, θ), a functionally graded piezoelectric porous material hollow sphere (FGPPM) by Jabbari et al…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional piezothermoelastic analysis of a smart FGM hollow sphere

Barati

Jabbari

2015

Acta Mech

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A two-dimensional analytical piezothermoelastic solution for a functionally graded material (FGM) hollow sphere with integrated piezoelectric layers as a sensor and actuator subjected to non-axisymmetric loads is carried out. A feedback gain control algorithm is used for the active control of stress and displacement of an FGM hollow sphere. The material properties of the FGM layer are assumed to be graded in the radial direction according to a power law function. Governing differential equations are developed in terms of the components of the displacement field, the electric potential, and the temperature of each layer of the smart FGM hollow sphere. These equations are solved analytically using the Legendre polynomials and the system of Euler differential equations. The effects of grading index of material properties and feedback gain on the mechanical-electrical responses are demonstrated in detail.

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Comprehensive elastic analysis of functionally graded variable thickness pressurized disk

2023

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This study analytically examines internally pressurized power‐law functionally graded variable thickness disk. The power‐law consideration is applied to the Young's modulus and the Poisson's ratio of the graded material as well as the radial thickness profile variation of the disk. Under this scheme, the solution yields to different Bessel functions including the first, second, and modified types. Stress and displacement fields are investigated at the elastic limits by operating with these functions. The limits are calculated with the well‐known von Mises criteria. Following the analytical modeling, numerical examples are built. Therein the examples, some noteworthy nuances have been achieved. It has been observed that unlike the usual prediction in the literature, constant Poisson's ratio, the effect of variable Poisson's ratio on stresses and displacements is still evident, although not as much as variable Young's modulus and disk geometry. We suggest assigning it as a variable in similar applications to be more precise. Additionally, according to the von Mises criterion, yielding may begin at the inner radius, the outer radius, or both at the same time. Parameters in the simultaneous flow initiation state are critical. These parameters allow the disk to reach the highest elastic limit pressure.

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Steady state thermal and mechanical stresses of a poro-piezo-FGM hollow sphere

Cited by 43 publications

References 22 publications

Elastic analysis of thick-walled pressurized spherical vessels coated with functionally graded materials

Elastic analysis of thick-walled pressurized spherical vessels coated with functionally graded materials

Two-dimensional piezothermoelastic analysis of a smart FGM hollow sphere

Comprehensive elastic analysis of functionally graded variable thickness pressurized disk

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