Thermal stress in rotating functionally graded hollow circular disks

被引:86
作者
Peng, Xu-Long [1 ]
Li, Xian-Fang [1 ]
机构
[1] Cent S Univ, Sch Civil Engn & Architecture, IMST, Changsha 410083, Peoples R China
关键词
Functionally graded materials; Radial nonhomogeneity; Rotating hollow disk; THERMOELASTIC ANALYSIS; VARIABLE THICKNESS; SOLID DISK; DEFORMATION; CYLINDER; GRADIENT; LOADS;
D O I
10.1016/j.compstruct.2010.01.008
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The analysis of thermoelastic problem of a rotating functionally graded hollow circular disk is made. The hollow disk is assumed to have varying material properties along the radial direction. An analytical method is presented to investigate steady thermal stresses in a functionally graded circular annulus rotating with constant angular velocity about its central axis. The associated boundary value problem is reduced to a Fredholm integral equation. The thermal stresses and radial displacement are obtained by numerically solving the resulting equation. A comparison of the numerical results with the exact ones for material properties of special power-law profile confirms the effectiveness of the method. For generally varying material parameters, numerical results are presented graphically to show the effects of gradient parameter, temperature change, angular velocity and thickness of the disk on the distribution of thermal stresses and radial displacement. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1896 / 1904
页数:9
相关论文
共 18 条
[1]   Algorithm 876: Solving Fredholm integral equations of the second kind in MATLAB [J].
Atkinson, Kendall E. ;
Shampine, Lawrence F. .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2008, 34 (04)
[2]   Analysis of functionally graded rotating disks with variable thickness [J].
Bayat, Mehdi ;
Saleem, M. ;
Sahari, B. B. ;
Hamouda, A. M. S. ;
Mahdi, E. .
MECHANICS RESEARCH COMMUNICATIONS, 2008, 35 (05) :283-309
[3]   Mechanical and thermal stresses in a functionally graded rotating disk with variable thickness due to radially symmetry loads [J].
Bayat, Mehdi ;
Saleem, M. ;
Sahari, B. B. ;
Hamouda, A. M. S. ;
Mahdi, E. .
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, 2009, 86 (06) :357-372
[4]   Approximate solution of limit angular speed for externally loaded rotating solid disk [J].
Bhowmick, Shubhankar ;
Misra, Dipten ;
Saha, Kashi Nath .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2008, 50 (02) :163-174
[5]   Deformation and stresses in functionally graded rotating disks [J].
Durodola, JF ;
Attia, O .
COMPOSITES SCIENCE AND TECHNOLOGY, 2000, 60 (07) :987-995
[6]  
El-Naggar AM, 2002, HEAT MASS TRANSFER, V39, P41, DOI [10.1007/s00231-001-0285-4, 10.1007/S00231-001-0285-4]
[7]   On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems [J].
Eraslan, AN ;
Akis, T .
ACTA MECHANICA, 2006, 181 (1-2) :43-63
[8]   On the rotating elastic-plastic solid disks of variable thickness having concave profiles [J].
Eraslan, AN ;
Orcan, Y .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2002, 44 (07) :1445-1466
[9]   The stress response of functionally graded isotropic linearly elastic rotating disks [J].
Horgan, CO ;
Chan, AM .
JOURNAL OF ELASTICITY, 1999, 55 (03) :219-230
[10]   Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads [J].
Jabbari, A ;
Sohrabpour, S ;
Eslami, MR .
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, 2002, 79 (07) :493-497