Microstructure and mechanical properties of ZrO2/NiCr functionally graded materials

Jin, Xin; Wu, Linzhi; Sun, Yu-Guo; Guo, Licheng

doi:10.1016/j.msea.2009.01.066

Cited by 49 publications

(17 citation statements)

References 16 publications

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“…The stress function is obtained by combining (10) and (15), and constants appearing in these equations are determined from boundary conditions (5). Arbitrary loads on the inner and the outer surfaces are expanded in Fourier series in θ , and boundary conditions are satisfied in the sense of Fourier series.…”

Section: Power-lawmentioning

confidence: 99%

“…Constants C 7 and C 8 in (44) are determined by boundary conditions (5). Thus stresses, strains and displacements can be computed.…”

Section: Axisymmetric Deformations For E 1 and V 1 Given By Differentmentioning

confidence: 99%

“…Similarly material properties can be tailored to optimize the fundamental frequency of a laminated plate [3]. References [4][5][6][7][8][9] have discussed the mechanical performance of FG structures such as cylinders, spheres and plates used in aerospace, marine, and civil engineering fields.…”

Section: Introductionmentioning

confidence: 99%

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Exact Solutions and Material Tailoring for Functionally Graded Hollow Circular Cylinders

Nie

Batra

2010

J Elast

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We employ the Airy stress function to derive analytical solutions for plane strain static deformations of a functionally graded (FG) hollow circular cylinder with Young's modulus E and Poisson's ratio v taken to be functions of the radius r. For E 1 and v 1 power law functions of r, and for E 1 an exponential but v 1 an affine function of r, we derive explicit expressions for stresses and displacements. Here E 1 and v 1 are effective Young's modulus and Poisson's ratio appearing in the stress-strain relations. It is found that when exponents of the power law variations of E 1 and v 1 are equal then stresses in the cylinder are independent of v 1 ; however, displacements depend upon v 1 . We have investigated deformations of a FG hollow cylinder with the outer surface loaded by pressure that varies with the angular position of a point, of a thin cylinder with pressure on the inner surface varying with the angular position, and of a cut circular cylinder with equal and opposite tangential tractions applied at the cut surfaces. When v 1 varies logarithmically through-the-thickness of a hollow cylinder, then the maximum radial stress, the maximum hoop stress and the maximum radial displacements are noticeably affected by values of v 1 . Conversely, we find how E 1 and v 1 ought to vary with r in order to achieve desired distributions of a linear combination of the radial and the hoop stresses. It is found that for the hoop stress to be constant in the cylinder, E 1 and v 1 must be affine functions of r. For the in-plane shear stress to be uniform through the cylinder thickness, E 1 and v 1 must be functions of r 2 . Exact solutions and optimal design parameters presented herein should serve as benchmarks for comparing approximate solutions derived through numerical algorithms.

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Section: Power-lawmentioning

confidence: 99%

“…Constants C 7 and C 8 in (44) are determined by boundary conditions (5). Thus stresses, strains and displacements can be computed.…”

Section: Axisymmetric Deformations For E 1 and V 1 Given By Differentmentioning

confidence: 99%

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Exact Solutions and Material Tailoring for Functionally Graded Hollow Circular Cylinders

Nie

Batra

2010

J Elast

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“…A spatial variation in the composition is introduced during the fabrication to achieve the desired gradient in the material properties [1]. In comparison with conventional homogeneous composite materials, gradient composites can provide a number of distinct advantages [2][3], such as a smoother stress distribution, reduced stress concentrations, elimination of stress singularities and greatly improved bond strength and fracture toughness. It is well known that damage and failure occur mainly on the surface of materials, and body enhancement is wasteful, expensive, and complicated.…”

Section: Introductionmentioning

confidence: 99%

Fabrication, microstructure and abrasive wear characteristics of an in situ tantalum carbide ceramic gradient composite

Zhao

Zhong

et al. 2015

Ceramics International

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“…These have been used for testing sintered ZrO 2 materials [15], where a Young's modulus of 200 GPa was measured.…”

Section: Introductionmentioning

confidence: 99%

Miniaturized bend tests on partially stabilized EB-PVD ZrO2 thermal barrier coatings

Pfeiffer

Affeldt

Göken

2011

Surface and Coatings Technology

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Microstructure and mechanical properties of ZrO2/NiCr functionally graded materials

Cited by 49 publications

References 16 publications

Exact Solutions and Material Tailoring for Functionally Graded Hollow Circular Cylinders

Exact Solutions and Material Tailoring for Functionally Graded Hollow Circular Cylinders

Fabrication, microstructure and abrasive wear characteristics of an in situ tantalum carbide ceramic gradient composite

Miniaturized bend tests on partially stabilized EB-PVD ZrO2 thermal barrier coatings

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