Thermoelastic stresses in functionally graded rotating annular disks with variable thickness

Allam, M. N. M.; Tantawy, R.; Zenkour, A. M.

doi:10.15632/jtam-pl.56.4.1029

Artykuł - szczegóły

Tytuł artykułu

Thermoelastic stresses in functionally graded rotating annular disks with variable thickness

Autorzy

Allam M. N. M. , Tantawy R. , Zenkour A. M.

Treść / Zawartość

Pełne teksty:

Allam_Tantawy_Zenkour_Thermoelastic_Vol.56_4-2018.pdf

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DOI

10.15632/jtam-pl.56.4.1029

Warianty tytułu

Języki publikacji

Abstrakty

This article presents semi-analytical solutions for stress distributions in exponentially and functionally graded rotating annular disks with arbitrary thickness variations. The disk is under pressure on its boundary surfaces and exposed to temperature distribution varying linearly across thickness. Material properties are supposed to be graded in the radial direction of the disk and obeying to two different forms of distribution of volume fraction of constituents. Different conditions at boundaries for stresses and displacement are discussed. Accurate and efficient solutions for displacement and stresses in rotating annular disks are determined using infinitesimal theory. Numerical results are carried out and discussed for different cases. It can be deduced that the gradient of material properties and thickness variation as well as the change of temperature sources have a specific effect in modern applications.

Słowa kluczowe

functionally graded variable thickness semi-analytical approach rotating thermal effect

Wydawca

Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej

Czasopismo

Journal of Theoretical and Applied Mechanics

Rocznik

2018

Tom

Vol. 56 nr 4

Strony

1029--1041

Opis fizyczny

Bibliogr. 48 poz., rys.

Twórcy

autor

Allam M. N. M.

Mansoura University, Faculty of Science, Department of Mathematics, Mansoura

autor

Tantawy R.

Damietta University, Faculty of Science, Department of Mathematics, Damietta, Egypt

autor

Zenkour A. M.

zenkour@kau.edu.sa; zenkour@kaf-sci.edu.eg

King Abdulaziz University, Faculty of Science, Department of Mathematics, Jeddah, Saudi Arabia
Kafrelsheikh University, Faculty of Science, Department of Mathematics, Kafrelsheikh, Egypt

Bibliografia

1. Afsar A.M., Go J., 2010, Finite element analysis of thermoelastic field in a rotating FGM circular disk, Applied Mathematical Modelling, 34, 3309-3320
2. Allam M.N.M., Badr R.E., Tantawy R., 2008, Stresses of a rotating circular disk of variable thickness carrying a current and bearing a coaxial viscoelastic coating, Applied Mathematical Modelling, 32, 1643-1656
3. Allam M.N.M., Zenkour A.M., 2005, On the rotating fiber-reinforced viscoelastic composite solid and annular disks of variable thickness, International Journal for Computational Methods in Engineering Science and Mechanics, 7, 1-11
4. Allam M.N.M., Zenkour A.M., El-Azab T.M.A., 2007, Viscoelastic deformation of the rotating inhomogeneous variable thickness solid and annular disks, International Journal for Computational Methods in Engineering Science and Mechanics, 8, 5, 313-322
5. Argeso H., 2012, Analytical solutions to variable thickness and variable material property rotating disks for a new three-parameter variation function, Mechanics Based Design of Structures and Machines, 40, 2, 133-152
6. Arnab B., Islam S.M.R., Kahlak A.A., Afsar A.M., 2014, Finite difference solution to thermoelastic field in a thin circular FGM disk with a concentric hole, Procedia Engineering, 90, 193-198
7. Asghari M., Ghafoori E., 2010, A three-dimensional elasticity solution for functionally graded rotating disks, Composite Structures, 92, 1092-1099
8. Bayat M., Sahari B.B., Saleem M., Ali A., Wong S.V., 2009a, Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory, Applied Mathematical Modelling, 33, 4215-4230
9. Bayat M., Sahari B.B., Saleem M., Ali A., Wong S.V., 2009b, Thermoelastic solution of a functionally graded variable thickness rotating disk with bending based on the first-order shear deformation theory, Thin-Walled Structures, 47, 568-582
10. Bayat M., Sahari B.B., Saleem M., Hamouda A.M.S., Reddy J.N., 2009c, Thermoelastic analysis of functionally graded rotating disks with temperature-dependent material properties: uniform and variable thickness, International Journal of Mechanics and Material Design, 5, 263-279
11. Bayat M., Saleem M., Sahari B.B., Hamouda A.M.S., Mahdi E., 2008, Analysis of functionally graded rotating disks with variable thickness, Mechanics Research Communications, 35, 283-309
12. Cavallaro L., 1965, Stress analysis of rotating disks, Nuclear Structural Engineering, 2, 271-281
13. Dai H.-L., Zheng, Z-Q., Dai T., 2017, Investigation on a rotating FGPM circular disk under a coupled hygrothermal field, Applied Mathematical Modelling, 46, 28-47
14. Dai T., Dai H.-L., 2015, Investigation of mechanical behavior for a rotating FGM circular disk with a variable angular speed, Journal of Mechanical Science and Technology, 29, 9, 3779-3787
15. Dai T., Dai H.-L., 2017, Analysis of a rotating FGMEE circular disk with variable thickness under thermal environment, Applied Mathematical Modelling, 45, 900-924
16. Das D., Sahoo P., Saha K., 2012, Dynamic analysis of rotating annular disk of variable thickness under uniform axial pressure, International Journal for Computational Methods in Engineering Science and Mechanics, 13, 1, 37-59
17. Entezari A., Filippi M., Carrera E., 2017, On dynamic analysis of variable thickness disks and complex rotors subjected to thermal and mechanical prestresses, Journal of Sound and Vibration, 405, 68-85
18. Entezari A., Kouchakzadeh M.A., Carrera E., Filippi M., 2017, A refined finite element method for stress analysis of rotors and rotating disks with variable thickness, Acta Mechanica, 228, 575-594
19. Essa S., Argeso H., 2017, Elastic analysis of variable profile and polar orthotropic FGM rotating disks for a variation function with three parameters, Acta Mechanica, 228, 3877-3899
20. Feng W.W., 1985, On finite deformation of viscoelastic rotating disks, International Journal of Nonlinear Mechanics, 20, 1, 21-26
21. Ghorbanpour Arani A., Khoddami Maraghi Z., Mozdianfard M.R., Shajari A.R., 2010a, Thermo-piezo-magneto-mechanical stresses analysis of FGPM hollow rotating thin disk, International Journal of Mechanics and Material Design, 6, 341-349
22. Ghorbanpour Arani A., Loghman A., Shajari A.R., Amir S., 2010b, Semi-analytical solution of magneto-thermo-elastic stresses for functionally graded variable thickness rotating disks, Journal of Mechanical Science and Technology, 24, 10, 2107-2117
23. Golmakani M.E., 2013, Large deflection thermoelastic analysis of shear deformable functionally graded variable thickness rotating disk, Composites: Part B, 45, 1143-1155
24. Hartog D., 1952, Advanced Strength of Materials, New York, McGraw-Hill
25. Hassani A., Hojjati M.H., Farrahi G., Alashti R.A., 2011, Semi-exact elastic solutions for thermo-mechanical analysis of functionally graded rotating disks, Composite Structures, 93, 3239-3251
26. Hassani A., Hojjati M.H., Mahdavi E., Alashti R.A., Farrahi G., 2012, Thermo- -mechanical analysis of rotating disks with non-uniform thickness and material properties, International Journal of Pressure Vessels and Piping, 98, 95-101
27. Hosseini M., Shishesaz M., Tahan K.N., Hadi A., 2016, Stress analysis of rotating nano-disks of variable thickness made of functionally graded materials, International Journal of Engineering Science, 109, 29-53
28. Kadkhodayan M., Golmakani M.E., 2014, Non-linear bending analysis of shear deformable functionally graded rotating disk, International Journal of Non-Linear Mechanics, 58, 41-56
29. Leu S.-Y., Chien L.-C., 2015, Thermoelastic analysis of functionally graded rotating disks with variable thickness involving non-uniform heat source, Journal of Thermal Stresses, 38, 415-426
30. Mashat D.S., Zenkour A.M., 2014, Hygrothermal bending analysis of a sector-shaped annular plate with variable radial thickness, Composite Structures, 113, 446-458
31. Murthy D.N.S., Sherbourne A.N., 1970, Elastic stresses in anisotropic disks of variable thickness, International Journal of Mechanical Sciences, 12, 827-640
32. Peng X.-L., Li X.-F., 2012, Elastic analysis of rotating functionally graded polar orthotropic disks, International Journal of Mechanical Sciences, 60, 84-91
33. Peng X-L., Li X-F., 2012, Effects of gradient on stress distribution in rotating functionally graded solid disks, Journal of Mechanical Science and Technology, 26, 1483-1492
34. Ruhi M., Angoshtari A., Naghdabadi, R., 2005, Thermoelastic analysis of thick-walled finite- -length cylinders of functionally graded materials, Journal of Thermal Stresses, 28, 391-408
35. Sahni M., Sahni R., 2015, Rotating functionally graded disc with variable thickness profile and external pressure, Procedia Computer Science, 57, 1249-1254
36. Sharma J.N., Sharma D., Kumar S., 2013, Vibration analysis of a rotating FGM thermoelastic axisymmetric circular disk using FEM, International Journal for Computational Methods in Engineering Science and Mechanics, 14, 262-270
37. Sherbourne A.N., Murthy D.N.S., 1974, Stresses in disks with variable profile, International Journal of Mechanical Sciences, 16, 449-459
38. Tutuncu N., Temel B., 2013, An efficient unified method for thermoelastic analysis of functionally graded rotating disks of variable thickness, Mechanics of Advanced Materials and Structures, 20, 38-46
39. Vullo V., Vivio, F., 2008, Elastic stress analysis of non-linear variable thickness rotating disks subjected to thermal load and having variable density along the radius, International Journal of Solids and Structures, 45, 5337-5355
40. Wu N.-G., Ramsey J.H., 1966, Stresses in a layered rotating disk, International Journal of Mechanical Sciences, 8, 629-639
41. Yella Reddy T., Srinath H., 1974, Elastic stresses in a rotating anisotropic annular disk of variable thickness and variable density, International Journal of Mechanical Sciences, 16, 85-89
42. You L.H., You X.Y., Zhang J.J., Li J., 2007, On rotating circular disks with varying material properties, Zeitschrift f¨ur angewandte Mathematik und Physik, 58, 1068-1084
43. Zafarmand H., Hassani B., 2014, Analysis of two-dimensional functionally graded rotating thick disks with variable thickness, Acta Mechanica, 225, 453-464
44. Zenkour A.M., 2005, Analytical solution for rotating exponentially-graded annular disks with various boundary conditions, International Journal of Structural Stability and Dynamics, 5, 557-577
45. Zenkour A.M., 2009, Stress distribution in rotating composite structures of functionally graded solid disks, Journal of Materials Processing Technology, 209, 3511-3517
46. Zenkour A.M., 2014, On the magneto-thermo-elastic responses of FG annular sandwich disks, International Journal of Engineering Science, 75, 54-66
47. Zenkour A.M., Allam, M.N.M., 2006, On the rotating fiber-reinforced viscoelastic composite solid and annular disks of variable thickness, International Journal for Computational Methods in Engineering Science and Mechanics, 7, 21-31
48. Zhenga Y., Bahalooa H., Mousanezhada D., Mahdib E., Vaziria A., Nayeb-Hashemi, H., 2016, Stress analysis in functionally graded rotating disks with non-uniform thickness and variable angular velocity, International Journal of Mechanical Sciences, 119, 283-293

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-3c80ce31-1c50-4f60-b611-4c7ec717fa59