Radial Coordinate

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Hong-liang Dai - One of the best experts on this subject based on the ideXlab platform.

  • thermo elastic analysis of a functionally graded rotating hollow circular disk with variable thickness and angular speed
    Applied Mathematical Modelling, 2016
    Co-Authors: Ting Dai, Hong-liang Dai
    Abstract:

    Abstract In this paper, the displacement and stress fields in a functionally graded material (FGM) hollow circular disk, rotating with an angular acceleration under a changing temperature field, are achieved by using a semi-analytical approach. The material properties are assumed to vary along the Radial Coordinate and related to the volume fraction of each material. The modulus of elasticity and the coefficient of thermal expansion are supposed to be temperature-dependent, while the Poisson's ratio is assumed to be constant. In numerical examples, effects of the functionally graded index, the geometric shape, the angular speed and the temperature boundary conditions to the displacement and stresses are considered. The results of this study may be useful for other investigations of rotating FGM circular disks with variable thickness.

Yuriy Povstenko - One of the best experts on this subject based on the ideXlab platform.

A Zhidenko - One of the best experts on this subject based on the ideXlab platform.

  • new parametrization for spherically symmetric black holes in metric theories of gravity
    Physical Review D, 2014
    Co-Authors: Luciano Rezzolla, A Zhidenko
    Abstract:

    We propose a new parametric framework to describe in generic metric theories of gravity the spacetime of spherically symmetric and slowly rotating black holes. In contrast to similar approaches proposed so far, we do not use a Taylor expansion in powers of $M/r$, where $M$ and $r$ are the mass of the black hole and a generic Radial Coordinate, respectively. Rather, we use a continued-fraction expansion in terms of a compactified Radial Coordinate. This choice leads to superior convergence properties and allows us to approximate a number of known metric theories with a much smaller set of coefficients. The measure of these coefficients via observations of near-horizon processes can be used to effectively constrain and compare arbitrary metric theories of gravity. Although our attention is here focussed on spherically symmetric black holes, we also discuss how our approach could be extended to rotating black holes.

Ting Dai - One of the best experts on this subject based on the ideXlab platform.

  • thermo elastic analysis of a functionally graded rotating hollow circular disk with variable thickness and angular speed
    Applied Mathematical Modelling, 2016
    Co-Authors: Ting Dai, Hong-liang Dai
    Abstract:

    Abstract In this paper, the displacement and stress fields in a functionally graded material (FGM) hollow circular disk, rotating with an angular acceleration under a changing temperature field, are achieved by using a semi-analytical approach. The material properties are assumed to vary along the Radial Coordinate and related to the volume fraction of each material. The modulus of elasticity and the coefficient of thermal expansion are supposed to be temperature-dependent, while the Poisson's ratio is assumed to be constant. In numerical examples, effects of the functionally graded index, the geometric shape, the angular speed and the temperature boundary conditions to the displacement and stresses are considered. The results of this study may be useful for other investigations of rotating FGM circular disks with variable thickness.

Lihua You - One of the best experts on this subject based on the ideXlab platform.

  • on rotating circular disks with varying material properties
    Zeitschrift für Angewandte Mathematik und Physik, 2007
    Co-Authors: Lihua You, X Y You, Jian J Zhang
    Abstract:

    Taking Young’s modulus, thermal expansion coefficient and density to be the functions of the Radial Coordinate, a closed form solution of rotating circular disks made of functionally graded materials subjected to a constant angular velocity and a uniform temperature change is proposed in this paper. Excellent agreement with the solution from Mathematica 5.0 indicates the correctness of the proposed closed form solution. Distributions of the Radial displacement and stresses in the disks are determined with the proposed approach and how material properties, temperature change, geometric size and different material coefficients affect deformations and stresses is investigated.

  • creep deformations and stresses in thick walled cylindrical vessels of functionally graded materials subjected to internal pressure
    Composite Structures, 2007
    Co-Authors: Lihua You, Z Y Zheng
    Abstract:

    Abstract Steady-state creep of thick-walled cylindrical vessels made of functionally graded materials subjected to internal pressure is investigated in this paper. Taking material parameters involved in Norton’s law to be the functions of the Radial Coordinate, a simple and accurate method is developed from the strain rate–stress relations, Norton’s law, deformation compatibility condition and equilibrium equation of axisymmetric, plane strain problems. The proposed approach is employed to calculate stresses and creep strain rates in the thick-walled cylindrical vessels. How variations of material parameters along the Radial direction affect the stresses in the vessels is examined.