Stress analysis and material tailoring in isotropic linear thermoelastic incompressible functionally graded rotating disks of variable thickness

Composite Structures

Volumn 92, Issue 3, 2010, Pages 720-729

  Nie, G J ^a   Batra, R C ^b  

^a TONGJI UNIVERSITY   (China)

^b Virginia Polytechnic Institute and State University   (United States)

Author keywords

Functionally graded rubberlike materials; Material tailoring; Rotating disk; Thermal stress; Variable thickness

Indexed keywords

AIRY STRESS FUNCTION; AXISYMMETRIC DEFORMATION; CONSTITUTIVE RELATIONS; DIFFERENTIAL QUADRATURE METHODS; EFFECTS OF MATERIALS; EXPLICIT EXPRESSIONS; FUNCTIONALLY GRADED; FUNCTIONALLY GRADED RUBBERLIKE MATERIALS; HOOP STRESS; INHOMOGENEITIES; LINEAR COMBINATIONS; MASS DENSITIES; NON-HOMOGENEOUS; NUMERICAL RESULTS; RADIAL COORDINATES; RADIAL DIRECTION; RADIAL STRESS; ROTATING ANNULAR DISK; ROTATING SOLIDS; RUBBERLIKE MATERIALS; SHEAR MODULUS; STRAIN FIELDS; THERMAL EXPANSION COEFFICIENTS; THERMOELASTICS; VARIABLE COEFFICIENTS; VARIABLE THICKNESS;

DEFORMATION; DISKS (STRUCTURAL COMPONENTS); ELASTIC MODULI; FUNCTIONALLY GRADED MATERIALS; HYDROSTATIC PRESSURE; ORDINARY DIFFERENTIAL EQUATIONS; RESIDUAL STRESSES; ROTATION; SHEAR STRAIN; STRESS ANALYSIS; THERMAL EXPANSION; THERMAL STRESS; THERMOELASTICITY; THICKNESS CONTROL; WHEELS;

ROTATING DISKS;

DEFORMATION; DENSITY; PRESSURE; SHEAR PROPERTY; STRESS; STRUCTURAL ANALYSIS; THERMAL EXPANSION; THERMOPLASTIC PROPERTY;

EID: 70350724388     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2009.08.052     Document Type: Article

References (40)

1. Roesler J., Paulino G., Gaedicke C., Bordelon A., and Park K. Fracture behavior of functionally graded concrete materials for rigid pavements. J Transport Res Board 2037 (2007) 40-49
2. Lucignano C., and Quadrini F. Indentation of functionally graded polyester composites. Measurement 42 (2009) 894-902
3. Chakraborty A., Dutta A.K., Ray K.K., et al. An effort to fabricate and characterize in-situ formed graded structure in a ceramic-metal system. J Mater Process Technol 209 5 (2009) 2681-2692
4. Bilgili E. Controlling the stress-strain inhomogeneities in axially sheared and radially heated hollow rubber tubes via functional grading. Mech Res Commun 30 (2003) 257-266
5. Bilgili E. Functional grading of rubber tubes within the context of a molecularly inspired finite thermoelastic model. Acta Mech 169 (2004) 79-85
6. Bilgili E. Modelling mechanical behavior of continuously graded vulcanized rubbers. Plast Rubber Compos 33 4 (2004) 163-169
7. Marzocca A.J. Finite element analysis of cure in a rubber cylinder. Polymer 32 (1991) 1456-1460
8. Azaar K., Lamine B., Granger R., Rosca I.D., and Vergnaud J.M. Process of cure of ethylene-propylene diene monomer rubbers - evaluation of state of cure. Plast Rubber Compos 29 (2000) 253-257
9. Gillen K.T., Terrill E.R., and Winter R.M. Modulus mapping of rubbers using micro- and nano-indentation techniques. Rubber Chem Technol 74 (2001) 428-450
10. Timoshenko S.P., and Goodier J.N. Theory of elasticity. 3rd ed. (1970), McGraw-Hill, New York
11. Horgan C.O., and Chan A.M. The stress response of functionally graded isotropic linearly elastic rotating disks. J Elast 55 (1999) 219-230
12. Jahed H., Farshi B., and Bidabadi J. Minimum weight design of inhomogeneous rotating discs. Int J Press Vessels Pip 82 (2005) 35-41
13. Eraslan A.N., and Akis T. On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems. Acta Mech 181 (2006) 43-63
14. Kordkheili S.A.H., and Naghdabadi R. Thermoelastic analysis of a functionally graded rotating disk. Compos Struct 79 (2007) 508-516
15. You L.H., You X.Y., Zhang J.J., et al. On rotating circular disks with varying material properties. Z Angew Math Phys 58 (2007) 1068-1084
16. Hojjati M.H., and Jafari S. Semi-exact solution of elastic non-uniform thickness and density rotating disks by homotopy perturbation and Adomian's decomposition methods Part I: elastic solution. Int J Press Vessels Pip 85 (2008) 871-878
17. Bayat M., Saleem M., Sahari B.B., et al. Analysis of functionally graded rotating disks with variable thickness. Mech Res Commun 35 (2008) 283-309
18. Bayat M., Saleem M., Sahari B.B., et al. Mechanical and thermal stresses in a functionally graded rotating disk with variable thickness due to radially symmetry loads. Int J Press Vessels Pip 86 (2009) 357-372
19. Bayat M., Sahari B.B., Saleem M., et al. Thermoelastic solution of a functionally graded variable thickness rotating disk with bending based on the first-order shear deformation theory. Thin Wall Struct 47 (2009) 568-582
20. Bayat M., Sahari B.B., Saleem M., et al. Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory. Appl Math Model 33 (2009) 4215-4230
21. Vullo V., and Vivio F. Elastic stress analysis of non-linear variable thickness rotating disks subjected to thermal load and having variable density along the radius. Int J Solids Struct 45 (2008) 5337-5355
22. Vivio F., and Vullo V. Elastic stress analysis of rotating converging conical disks subjected to thermal load and having variable density along the radius. Int J Solids Struct 44 (2007) 7767-7784
23. Zenkour A.M. Stress distribution in rotating composite structures of functionally graded solid disks. J Mater Process Technol 209 (2009) 3511-3517
24. Zenkour A.M. Elastic deformation of the rotating functionally graded annular disk with rigid casing. J Mater Sci 42 (2007) 9717-9724
25. Batra R.C. Finite plane strain deformations of rubberlike materials. Int J Numer Methods Eng 15 1 (1980) 145-160
26. Batra R.C. Optimal design of functionally graded incompressible linear elastic cylinders and spheres. AIAA J 46 8 (2008) 2050-2057
27. Batra R.C., and Iaccarino G.L. Exact solutions for radial deformations of a functionally graded isotropic and incompressible second-order elastic cylinder. Int J Non Linear Mech 43 (2008) 383-398
28. Batra R.C., and Bahrami A. Inflation and eversion of functionally graded non-linear elastic incompressible circular cylinders. Int J Non Linear Mech 44 (2009) 311-323
29. Bilgili E., Bernstein B., and Arastoopour H. Inhomogeneous shearing deformation of a rubber-like slab within the context of finite thermoelasticity with entropic origin for the stress. Int J Non Linear Mech 36 (2001) 887-900
30. Bilgili E., Bernstein B., and Arastoopour H. Effect of material non-homogeneity on the inhomogeneous shearing deformation of a Gent slab subjected to a temperature gradient. Int J Non Linear Mech 38 (2003) 1351-1368
31. Shu C. Differential quadrature and its application in engineering (2000), Springer, London
32. Leissa W., and Vagins M. The design of orthotropic materials for stress optimization. Int J Solids Struct 14 (1978) 517-526
33. Qian L.F., and Batra R.C. Design of bidirectional functionally graded plate for optimal natural frequencies. J Sound Vibration 280 (2005) 415-424
34. Batra R.C., and Vidoli S. Higher order piezoelectric plate theory derived from a three-dimensional variational principle. AIAA J 40 (2002) 91-104
35. Batra R.C., and Jin J. Natural frequencies of a functionally graded rectangular plate. J Sound Vibration 282 (2005) 509-516
36. Batra R.C. Torsion of a functionally graded cylinder. AIAA J 44 (2006) 1363-1365
37. Batra R.C. Higher order shear and normal deformable theory for functionally graded incompressible linear elastic plates. Thin Walled Struct 45 (2007) 974-982
38. Aimmanee S., and Batra R.C. Analytical solution for vibration of an incompressible isotropic linear elastic rectangular plate, and frequencies missed in previous solutions. J Sound Vibration 302 (2007) 613-620
39. Zimmerman R.W., and Lutz M.P. Thermal stresses and thermal expansion in a uniformly heated functionally graded cylinder. J Therm Stress 22 (1999) 177-188
40. Batra R.C. Elements of continuum mechanics (2005), AIAA, Reston