Optimization of temperature-dependent functionally graded material bodies

Boussaa, Djaffar

doi:10.1016/j.cma.2009.02.013

Cited by 24 publications

(13 citation statements)

References 19 publications

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“…Also, ZrO 2 and Ti-6Al-4V impart excellent tensile strength in low temperature and compressive strength in high temperature respectively, to get the optimal solution for the present problem by using the concept of functionally graded materials. Furthermore, the minimum value of factor of safety for the optimal profile is by more than 28% higher than the corresponding value for the optimal profile gained with von Mises stress [7], where both profiles located in feasible region.…”

Section: Figurementioning

confidence: 80%

“…In order to clarify the advantage of the optimal profile, objective function along the radial coordinate for initial profile, optimal profile, optimal profile from Ref. [7], pure Ti6Al-4V profile and pure ZrO 2 profile are presented in Figure 12.…”

Section: Figurementioning

confidence: 99%

“…[5]. The Young's modulus, the Poisson's ratio, the thermal conductivity and the thermal expansion coefficient of the graded layer are calculated by the self-consistent model [7], while the tensile strength and the compressive strength by the linear rule of mixtures [8]. The Mises-Schleicher's yield function in general form is…”

Section: Examplementioning

confidence: 99%

“…The multi-objective optimization of material distribution of functionally graded cylindrical shells for steady thermo mechanical processes has been done by the means of genetic algorithm by Vel and Pelletier [6]. Boussaa [7] has applied gradientbased algorithm to optimize a thick-walled functionally graded sphere subjected to thermal gradients, considering temperature dependency of material properties. Na and Kim [8] have optimized functionally graded panel to reach stress reduction and improving thermo-mechanical buckling behavior by using semi-infinite method, quasi-Newton's method and finite difference method.…”

Section: Introductionmentioning

confidence: 99%

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Functionally Graded Materials Optimization Using Particle Swarm-Based Algorithms

Fereidoon

Sadri

Hemmatian

2012

Journal of Thermal Stresses

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This article presents an application of particle swarm-based algorithms for volume fraction optimization of functionally graded materials. A simple and efficient method for constraint handling is included too. To optimize the material composition, two numerical examples are done. In the first example, the peak residual stresses are minimized when the FGM is cooled from a reference temperature. In the second example, the factor of safety against yielding are maximized for a temperaturedependent FGM sphere subjected to thermal gradients. The algorithms PSO, PSOPC, PSACO and PSPCACO are used too and the optimum volume fraction are obtained. According comparison of the results, particle swarm-based algorithms can be used as a powerful tool for optimizing the FG materials.

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Section: Figurementioning

confidence: 80%

Section: Figurementioning

confidence: 99%

Section: Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Functionally Graded Materials Optimization Using Particle Swarm-Based Algorithms

Fereidoon

Sadri

Hemmatian

2012

Journal of Thermal Stresses

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“…In existing studies focusing on the optimisation of the material composition distribution of FGMs, however, mean-field homogenisation techniques that assume simple microstructures (e.g. spherical inclusions dispersed in a matrix) have been employed [4][5][6][7] to estimate the effective material properties of FGMs. In other words, specific information regarding the microstructural morphology was neglected during these homogenisation calculations.…”

Section: Phase-a Particles With Phase-b Matrixmentioning

confidence: 99%

Optimisation of material composition of functionally graded materials based on multiscale thermoelastic analysis

Chiba

Sugano

2012

Acta Mech

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This paper presents a method for optimisation of the material composition of functionally graded materials (FGMs) for thermal stress relaxation. This method consists of a multiscale thermoelastic analysis and a genetic algorithm. In the presented method, location-dependent unit cells representing the microstructures of two-phase FGMs are created using morphology description functions, and the homogenised material properties and microscale thermal stresses are computed using the asymptotic expansion homogenisation method. Thermal stress relaxation effects at the microscale in the FGMs are quantitatively evaluated, being reflected for the optimisation computation of the material composition. Numerical calculations are performed for a functionally graded infinite plate subjected to prescribed surface temperatures, and it is demonstrated that the optimisation with the knowledge of specific microstresses in FGMs results in not only a different trend of material composition distribution but also a different critical location for material failure from those obtained by conventional optimisation without the knowledge of the microstresses.

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Thermo-mechanical behavior of a functionally graded hollow cylinder with an elliptic hole

Fesharaki

Roghani

2019

J Braz. Soc. Mech. Sci. Eng.

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In this paper, the behavior of functionally graded material hollow cylinders with an elliptic hole under thermal and mechanical loads is investigated. The problem is considered as plane strain condition, and to obtain the governing equations and boundary condition for this complex geometry, an elliptic cylindrical coordinate is used. The material properties are considered to vary along the elliptic cylindrical direction with power-law function except for the Poisson's ratio. To solve the two coupled differential equations, differential quadrature method is used. For solving the governing equations, two different boundary conditions are considered for thermal and mechanical loads. The results show that unconventional shape for a hole in the cylinder can affect the results expected such as stresses or displacements, and this information about thermo-mechanical loads can be used for designing the advanced sensors. Also with considering special material index, the stress and displacement along the cylinder can be controlled. The presented results in this paper are verified with those reported in the previous publication.

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Optimization of temperature-dependent functionally graded material bodies

Cited by 24 publications

References 19 publications

Functionally Graded Materials Optimization Using Particle Swarm-Based Algorithms

Functionally Graded Materials Optimization Using Particle Swarm-Based Algorithms

Optimisation of material composition of functionally graded materials based on multiscale thermoelastic analysis

Thermo-mechanical behavior of a functionally graded hollow cylinder with an elliptic hole

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