Design of thermoelastic materials using direct sensitivity and optimization methods. Reduction of thermal stresses in functionally gradient materials

Tanaka, Kikuaki; Tanaka, Yoshiyuki; Enomoto, Kunio; Poterasu, V.F.; Sugano, Yoshihiro

doi:10.1016/0045-7825(93)90193-2

Cited by 77 publications

(19 citation statements)

References 6 publications

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“…He further formulated the optimization problem of the material composition to reduce the thermal stress distribution. Tanaka et al [11,12] have designed FGM property profiles using sensitivity and optimization methods based on the reduction of thermal stresses. Jin and Noda [13] have used the minimization of thermal stress intensity for a crack in a metal-ceramic functionally gradient material as a criterion for optimizing material property variation.…”

Section: Introductionmentioning

confidence: 99%

Generalized shear deformation theory for bending analysis of functionally graded plates

Zenkour

2006

Applied Mathematical Modelling

542

218

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In this study, the static response is presented for a simply supported functionally graded rectangular plate subjected to a transverse uniform load. The generalized shear deformation theory obtained by the author in other recent papers is used. This theory is simplified by enforcing traction-free boundary conditions at the plate faces. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain is given. Material properties of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The equilibrium equations of a functionally graded plate are given based on a generalized shear deformation plate theory. The numerical illustrations concern bending response of functionally graded rectangular plates with two constituent materials. The influences played by transversal shear deformation, plate aspect ratio, side-to-thickness ratio, and volume fraction distributions are studied. The results are verified with the known results in the literature.

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Section: Introductionmentioning

confidence: 99%

Generalized shear deformation theory for bending analysis of functionally graded plates

Zenkour

2006

Applied Mathematical Modelling

542

218

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“…(16) must be 0, the in-plane shear stress throughout the disk vanishes, and the radial and the hoop stresses are given by r rr ðrÞ ¼ r hh ðrÞ ¼ qx 2 ðr 2 ou À r 2 Þ 2 þ r ou rr : ð20a; bÞ Expressions for stresses in Eq. (20) are the same as those given in Ref. [16].…”

Section: Case 4: Solid Disk With Its Outer Boundary Subjected To Normmentioning

confidence: 84%

“…Based on optimization techniques and the finite element method (FEM), Tanaka et al [20][21][22] determined the spatial variation of the constituent phases of FGMs to minimize thermal stresses. Batra and Jin [23] optimized the natural frequencies of a laminated composite plate by changing the fiber orientation in each ply.…”

Section: Introductionmentioning

confidence: 99%

Material tailoring for orthotropic elastic rotating disks

Nie

Zhong

Batra

2011

Composites Science and Technology

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“…They found the spatial variation of the material elasticities to make either the hoop stress or the maximum in-plane shear stress uniform through the cylinder thickness. For designing FGMs with minimum thermal stresses, Tanaka et al [5][6][7] developed a theoretical framework based on the direct sensitivity and the finite element methods. Sadagopan and Pitchumani [8][9][10] analyzed the optimal material tailoring problem by the combinatorial optimization technique, such as simulated annealing or genetic algorithms, in conjunction with analytical microstructure-property relations.…”

Section: Introductionmentioning

confidence: 99%