Thermoelastic dynamic response for a long functionally graded hollow cylinder

Abstract

In this paper, a novel numerical method is presented to analyze the thermoelastic dynamic response of a long hollow cylinder made of functionally graded materials under radially symmetric dynamic mechanical and thermal loadings. That is utilizing finite difference method and Newmark method to solve the governing equation. The material of the functionally graded material hollow cylinder is assumed to change continuously along the thickness according to power-law distribution, except for a constant Poisson’s ratio, and the thermal boundary condition without internal heat source is considered. Comparisons between this paper’s results and the corresponding analytical results validate the solution proposed in this paper. Finally, the functionally graded material hollow cylinder under constant load and impulsive load are discussed in detail and many valuable thermoelastic dynamic characteristics are revealed.

Keywords

Thermoelastic dynamic behavior functionally graded material hollow cylinder

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References

Yang

. Time-dependent stress analysis in functionally graded materials. Int J Solids Struct 2000; 37: 7593–7608.

Jabbari

Sohrabpour

Eslami

. Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads. Int J Pres Ves Pip 2002; 79: 493–497.

Shao

. Mechanical and thermal stresses of a functionally graded circular hollow cylinder with finite length. Int J Pres Ves Pip 2005; 82: 155–163.

Shen

Noda

. Postbuckling of FGM cylindrical shells under combined axial and radial mechanical loads in thermal environments. Int J Solids Struct 2005; 42: 4641–4662.

Shakeri

Akhlaghi

Hoseini

. Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder. Compos Struct 2006; 76: 174–181.

Dai

. Magnetothermoelastic interactions in hollow structures of functionally graded material subjected to mechanical loads. Int J Pres Ves Pip 2007; 84: 132–138.

Lutz

Zimmerman

. Thermal stresses and effective thermal expansion coefficient of a functionally-gradient sphere. J Therm Stresses 1996; 19: 39–54.

Radu

Taylor

Paffumi

. Development of new analytical solutions for elastic thermal stress components in a hollow cylinder under sinusoidal transient thermal loading. Int J Pres Ves Pip 2008; 85: 885–893.

Shao

. Thermo-mechanical stresses in functionally graded circular hollow cylinder with linearly increasing boundary temperature. Compos Struct 2008; 83: 259–265.

10.

Jabbari

Bahtui

Eslami

. Axisymmetric mechanical and thermal stresses in thick short length FGM cylinders. Int J Pres Ves Pip 2009; 86: 296–306.

11.

Shariyat

Khaghani

Lavasani

SMH

. Nonlinear thermoelasticity, vibration, and stress wave propagation analyses of thick FGM cylinders with temperature-dependent material properties. Eur J Mech A/Solids 2010; 29: 378–391.

12.

Peng

. Thermoelastic analysis of a cylindrical vessel of functionally graded materials. Int J Pres Ves Pip 2010; 87: 203–210.

13.

Shariyat

Lavasani

SMH

Khaghani

. Nonlinear transient thermal stress and elastic wave propagation analyses of thick temperature-dependent FGM cylinders, using a second–order point-collocation method. Appl Math Model 2010; 34: 898–918.

14.

Dai

Yang

Zheng

. Magnetothermoelastic analysis of functionally graded hollow spherical structures under thermal and mechanical loads. Solid State Sci 2011; 13: 372–378.

15.

Ying

Wang

. Axisymmetric thermoelastic analysis in a finite hollow cylinder due to nonuniform thermal shock. Int J Press Ves Pip 2010; 87: 714–720.

16.

Thomas

. Numerical partial differential equations , New York: Springer-Verlag, Inc., 1995.

17.

Mao

Tian

. Damage analysis and dynamic response of elasto-plastic laminated composite shallow spherical shell under low velocity impact. Int J Solids Struct 2010; 47: 126–137.

18.

Miyamoto

. Functional graded materials: design, processing and applications , Norwell, MA: Kluwer Academic Publishers, 1999.