On the Plane Strain and Plane Stress Solutions of Functionally Graded Rotating Solid Shaft and Solid Disk Problems

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Date

2006

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Springer Wien

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Civil Engineering
(2000)
The Atılım University Department of Civil Engineering was founded in 2000 as a pioneer for the Departments of Civil Engineering among the foundation schools of Ankara. It offers education in English. The Department of Civil Engineering has an academic staff qualified in all areas of the education offered. In addition to a high level of academic learning that benefits from learning opportunities through practice at its seven laboratories, the Department also offers a Cooperative Education program conducted in cooperation with renowned organizations in the construction sector. Accredited by MÜDEK (Association of Evaluation and Accreditation of Engineering Programs) (in 2018), our Department has been granted the longest period of accreditation to ever achieve through the association (six years). The accreditation is recognized by ENAEE (European Network for Accreditation of Engineering Education), and other international accreditation boards.

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Abstract

Closed form solutions to functionally graded rotating solid shaft and rotating solid disk problems are obtained under generalized plane strain and plane stress assumptions, respectively. The nonhomogeneity in the material arises from the fact that the modulus of elasticity of the material varies radially according to two different continuously nonlinear forms: exponential and parabolic. Both forms contain two material parameters and lead to finite values of the modulus of elasticity at the center. Analytical expressions for the stresses at the center are determined. These limiting expressions indicate that at the center of shaft/disk: (i) the stresses are finite, (ii) the radial and the circumferential stress components are equal, and (iii) the values of the stresses are independent of the variation of the modulus of elasticity. It is also shown mathematically that the nonhomogeneous solutions presented here reduce to those of homogeneous ones by an appropriate choice of the material parameters describing the variation of the modulus of elasticity.

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Akis, Tolga/0000-0002-6754-4497

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Citation

92

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Q2

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Volume

181

Issue

1-2

Start Page

43

End Page

63

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