A multicriterial material tailoring of a hollow cylinder in functionally gradient materials: Scheme to global reduction of thermoelastic stresses

Tanaka, Kikuaki; Watanabe, Hirofumi; Sugano, Yoshihiro; Poterasu, V.F.

doi:10.1016/0045-7825(96)01014-6

Cited by 52 publications

(20 citation statements)

References 10 publications

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“…Those conventional models, such as Mori-Tanaka and self-consistent, have been applied to estimate the effective properties of FGM in the works of Zuiker and Dvorak [20], Reiter et al [21], Reiter and Dvorak [22], Tanaka et al [23] and Kim and Paulino [24]. However, they were originally developed for statistically homogeneous materials and are not able to capture the material gradient nature of the FGMs [25].…”

Section: A Functionally Graded Materials Modelmentioning

confidence: 97%

Optimization of material distribution in functionally graded structures with stress constraints

Stump

Silva

Paulino

2006

Commun. Numer. Meth. Engng.

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SUMMARYThis work describes a topology optimization framework to design the material distribution of functionally graded structures considering mechanical stress constraints. The problem of interest consists in minimizing the volumetric density of a material phase subjected to a global stress constraint. Due to the existence of microstructure, the micro-level stress is considered, which is computed by means of a mechanical concentration factor using a p-norm of the Von Mises stress criterium (applied to the micro-level stress). Because a 0-1 (void-solid) material distribution is not being sought, the singularity phenomenon of stress constraint does not occur as long as the material at any point of the medium does not vanish and it varies smoothly between material 1 and material 2. To design a smoothly graded material distribution, a material model based on a non-linear interpolation of the Hashin-Strikhman upper and lower bounds is considered. Consistently with the framework adopted here in, the so-called 'continuous approximation of material distribution' approach is employed, which considers a continuous distribution of the design variable inside the finite element. As examples, the designs of functionally graded disks subjected to centrifugal body force are presented. The method generates smooth material distributions, which are able to satisfy the stress constraint.

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Section: A Functionally Graded Materials Modelmentioning

confidence: 97%

Optimization of material distribution in functionally graded structures with stress constraints

Stump

Silva

Paulino

2006

Commun. Numer. Meth. Engng.

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“…(22)-(24) cannot be obtained from the homogenisation process by the two-dimensional AEH method, α H 33 is estimated by a combination of Schapery's axial CTE model [23] and fuzzy inference [24], and the remainder by the linear rule of mixtures. It is known that the longitudinal elastic properties of unidirectional fibrous composites follow the rule of mixtures very closely.…”

Section: Volume Fraction Optimisation Of a Functionally Graded Infinimentioning

confidence: 99%

“…For the present model problem, they are expressed as follows:σ eq = σ 2 22 −σ 22σ33 +σ 2 33 ,σ m =σ 22 +σ 33 3 , (B3) Table 3 Mean-field homogenisation schemes used for estimating the effective material properties of FGMs Material property Adopted scheme K 11 Hasselman-Johnson a [27] and fuzzy inference[24] E 22 Halpin-Tsai b [28] and fuzzy inference [24] E 33 Linear rule of mixtures ν 23 , ν 32 Linear rule of mixtures α 22 Schapery's transverse CTE model [23] and fuzzy inference [24] α 33 Schapery's axial CTE model [23] and fuzzy inference [24] a Infinite interfacial conductance is assumed b A reinforcement parameter of ζ = 2 has been used whereσ 22 andσ 33 are given by Eq. (23).…”

Section: Appendix Bmentioning

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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“…finding the optimal phase volume fraction of each constituent of the component, all else being assumed fixed). The methods developed for this purpose range from descent techniques as applied to single-and multi-objective programming [6][7][8][9] to heuristic techniques such as those based on genetic algorithms and neural networks [10][11][12]. This paper also contributes to composition optimization by implementing techniques of the former kind.…”

Section: Introductionmentioning

confidence: 99%

Optimizing the composition profile of a functionally graded interlayer using a direct transcription method

Boussaa

2005

Comput Mech

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A multicriterial material tailoring of a hollow cylinder in functionally gradient materials: Scheme to global reduction of thermoelastic stresses

Cited by 52 publications

References 10 publications

Optimization of material distribution in functionally graded structures with stress constraints

Optimization of material distribution in functionally graded structures with stress constraints

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

Optimizing the composition profile of a functionally graded interlayer using a direct transcription method

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