Nonaxisymmetric Thermomechanical Analysis of Functionally Graded Hollow Cylinders

Shao, Zhushan; Ang, Kok Keng; Reddy, J. N.; Wang, T. J.

doi:10.1080/01495730801977879

Cited by 45 publications

(30 citation statements)

References 24 publications

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“…Shao (2005) presented, by using a multi-layered approach based on the theory of laminated composites, the solutions of temperature, displacements, and thermal-mechanical stresses in a functionally graded circular hollow cylinder. Shao et al (2008) used complex Fourier series and Laplace transform techniques to investigate transient heat conduction and thermo-mechanical stresses in an FGM hollow cylinder. Jabbari et al (2002Jabbari et al ( , 2003Jabbari et al ( , 2009) derived the exact solution for one-dimensional and two dimensional steady-state thermoelastic problems of functionally graded hollow cylinders where material properties varied with the power product form of the radial coordinate variable.…”

Section: Introductionmentioning

confidence: 99%

A novel approach to thermal and mechanical stresses in a FGM cylinder with exponentially-varying properties

Çelebi

Yarımpabuç

Keles

2017

jtam

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A novel approach is employed to a general solution for one-dimensional steady-state thermal and mechanical stresses in a hollow thick cylinder made of a functionally graded material (FGM). The temperature distribution is assumed to be a function of radius, with general thermal and mechanical boundary conditions on the inside and outside surfaces of the cylinder. The material properties, except Poisson's ratio, are assumed to be exponentially-varying through the thickness. Forcing functions applied to the inner boundary are internal pressures which may be in form of steps. These conditions result in governing differential equations with variable coefficients. Analytical solutions to such equations cannot be obtained except for certain simple grading functions and pressures. Numerical approaches must be adopted to solve the problem in hand. The novelty of the present study lies in the fact that the Complementary Functions Method (CFM) is employed in the analysis. The Complementary Functions method (CFM) will be infused into the analysis to convert the problem into an initial-value problem which can be solved accurately. Benchmark solutions available in the literature are used to validate the results and to observe the convergence of the numerical solutions. The solution procedure is well-structured, simple and efficient and it can be readily applied to cylinders. It is also well suited for problems in which mechanical properties are graded.

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Section: Introductionmentioning

confidence: 99%

A novel approach to thermal and mechanical stresses in a FGM cylinder with exponentially-varying properties

Çelebi

Yarımpabuç

Keles

2017

jtam

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“…They used the Legendre polynomials and the system of Euler differential equations to solve the Navier equations. Shao et al [17] obtained analytical solutions of time-dependent temperature and thermo-mechanical stresses through the functionally graded hollow cylinder under non-axisymmetric mechanical and transient thermal loads by the complex Fourier series and Laplace transform techniques. Jabbari et al [18] also presented the general solution using the separation of variables and complex Fourier series for functionally graded hollow cylinders under non-axisymmetric and steady-state thermo-mechanical loads.…”

Section: Introductionmentioning

confidence: 99%

Thermo-electromechanical behavior of functionally graded piezoelectric hollow cylinder under non-axisymmetric loads

Atrian

Fesharaki

Nourbakhsh

2015

Appl. Math. Mech.-Engl. Ed.

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This paper presents an analytical solution of a thick walled cylinder composed of a functionally graded piezoelectric material (FGPM) and subjected to a uniform electric field and non-axisymmetric thermo-mechanical loads. All material properties, except Poisson's ratio that is assumed to be constant, obey the same power law. An exact solution for the resulting Navier equations is developed by the separation of variables and complex Fourier series. Stress and strain distributions and a displacement field through the cylinder are obtained by this technique. To examine the analytical approach, different examples are solved by this method, and the results are discussed.

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“…Zhong and Cheng [6] analyzed the crack problem in a functionally graded strip with arbitrary distributed material properties. Shao et al [7] studied the nonaxisymmetric thermal stress in functionally graded hollow cylinders. Li and Lee [8] made the fracture analysis of a weak-discontinuous interface in a symmetrical functionally graded composite strip loaded by anti-plane impact.…”

Section: Introductionmentioning

confidence: 99%

Stress analysis of a functional graded material plate with a circular hole

2009

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This paper is to study the two-dimensional stress distribution of a functional graded material plate (FGMP) with a circular hole under arbitrary constant loads. With using the method of piece-wise homogeneous layers, the stress distribution of the functional graded material plate having radial arbitrary elastic properties is derived based on the theory of the complex variable functions. As examples, numerical results are presented for the FGMPs having given radial Young's modulus or Poisson's ratio. It is shown that the stress is greatly reduced as the radial Young's modulus increased, but it is less influenced by the variation of the Poisson's ratio. Moreover, it is also found that the stress level varies when the radial Young's modulus increased in different ways. Thus, it can be concluded that the stress around the circular hole in the FGMP can be effectively reduced by choosing the proper change ways of the radial elastic properties.

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Nonaxisymmetric Thermomechanical Analysis of Functionally Graded Hollow Cylinders

Cited by 45 publications

References 24 publications

A novel approach to thermal and mechanical stresses in a FGM cylinder with exponentially-varying properties

A novel approach to thermal and mechanical stresses in a FGM cylinder with exponentially-varying properties

Thermo-electromechanical behavior of functionally graded piezoelectric hollow cylinder under non-axisymmetric loads

Stress analysis of a functional graded material plate with a circular hole

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