Elastic Solutions for a Solid Rotating Disk With Cubic Anisotropy

Жоу, Фенгси; Ogawa, A.

doi:10.1115/1.1406958

Cited by 15 publications

(8 citation statements)

References 12 publications

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“…Destrade [15] considered the explicit secular equation for surface acoustic waves in monoclinic elastic crystals. Zhou and Ogawa [16] investigated elastic solutions for a solid rotating disk with cubic anisotropy. Minagawa et al [17] discussed the propagation of plane harmonic waves in a cubic micropolar medium.…”

Section: Introductionmentioning

confidence: 99%

Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation

Kumar

Ailawalia

2007

Int J Thermophys

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The present problem is concerned with the study of the deformation of a thermoelastic micropolar solid possessing cubic symmetry under the influence of various sources acting on the plane surface. The analytic expressions of displacement components, microrotation, force stress, couple stress, and temperature distribution are obtained in the physical domain for the Green and Nagdhi (G-N) theory of thermoelasticity by applying the integral transforms. A numerical inversion technique has been applied to obtain the solution in the physical domain. The numerical results are presented graphically for a particular material.

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Section: Introductionmentioning

confidence: 99%

Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation

Kumar

Ailawalia

2007

Int J Thermophys

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“…The analytical solutions of rotating discs can be used for getting deep insights as well as easy optimization designs, and hence have always been interesting to engineers and scientists. The usual way for finding such solutions has been to treat the disc as being in a plane stress/strain state [1][2][3][4][5][6][7][8][9]. Even in the design of rotating discs with variable thickness, axisymmetric plane models have also been adopted [1,[3][4][5].…”

Section: Introductionmentioning

confidence: 99%

“…Leissa and Vagins [6] and Jain et al [7] optimized the stress distribution in a rotating disk by varying the elastic coefficients with the radial coordinate. Zhou and Ogawa [9] presented an analytical solution for a solid rotating disc with cubic anisotropy; the elastic properties were assumed to be functions of the hoop coordinate θ . Timoshenko and Goodier [1] obtained the analytic axisymmetric solution for a homogeneous isotropic rotating disc.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional analytical solution for a rotating disc of functionally graded materials with transverse isotropy

2006

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Based on the basic equations for axisymmetric problems of transversely isotropic elastic materials, the displacement components are expressed in terms of polynomials of the radial coordinate with the five involved coefficients, named as displacement functions in this paper, being undetermined functions of the axial (thickness) coordinate. Five equations governing the displacement functions are then derived. It is shown that the displacement functions can be found through progressive integration by incorporating the boundary conditions. Thus a three-dimensional analytical solution is obtained for a transversely isotropic functionally graded disc rotating at a constant angular velocity. The solution can be degenerated into that for an isotropic functionally graded rotating disc. A prominent feature of this solution is that the material properties can be arbitrary functions of the axial coordinate. Thus, the solution for a homogeneous transversely isotropic rotating disc is just a special case that can be easily derived. An example is finally considered for a special functionally graded material, and numerical results shows that the material inhomogeneity has a remarkable effect on the elastic field.

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“…The stress analysis of rotating homogeneous isotropic, orthotropic, and anisotropic disks and cylinders has long been an important topic in engineering design and applications [1][2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Effect of material inhomogeneity on the rotating functionally of a graded orthotropic hollow cylinder

Wang

2010

J Mech Sci Technol

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The effect of the material inhomogeneity on the stress field of a rotating orthotropic infinite hollow cylinder made of functionally graded materials is investigated. The original functionally graded hollow cylinder is approximated by the laminate model, of which the solution will gradually approach the exact one with the increase in number of fictitious layers. The analysis is performed by means of the state space method. The validity of the solution is verified by utilizing the exact solution of a special non-homogeneous rotating hollow cylinder and earlier results. The distributions of the radial and tangential stresses of the internally pressurized rotating functionally graded hollow cylinder for various material inhomogeneity parameters are depicted graphically. The degree of the orthotropy on the stress fields is also discussed.

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Elastic Solutions for a Solid Rotating Disk With Cubic Anisotropy

Abstract: Elastic solutions of a rotating solid disk made of cubic anisotropic material are obtained using direct displacement method. Displacement, strain, and stress distributions within the disk are expressed as simple functions of polar coordinates.

Cited by 15 publications

References 12 publications

Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation

Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation

Three-dimensional analytical solution for a rotating disc of functionally graded materials with transverse isotropy

Effect of material inhomogeneity on the rotating functionally of a graded orthotropic hollow cylinder

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