Araştırma Makalesi
BibTex RIS Kaynak Göster

Thermal stresses in a cylindrically curved FGM beam

Yıl 2019, Cilt: 1 Sayı: 1, 25 - 39, 30.06.2019

Öz

In
this study, the stress analysis of the cylindrically curved beam, which is
functionally graded for thermal load in radial direction, has been analytically
analyzed. The temperature distribution varies steadily state as a function of
the radial coordinate. The beam is assumed to be in the plane strain state. The
elasticity modulus of the functionally graded beam is assumed to vary with the
power law in relation to the thickness of the beam. In addition, the effect of
the vary in the power law parameter and with the general mixture law, all
material properties of the beam  (modulus
of elasticity, density, thermal expansion coefficient, thermal conductivity
coefficient and yield stress) except for Poisson's ratio change in radial
direction. Thus, all material properties of the beam vary depending on the
power law. Beam; stresses under positive, negative and homogeneous temperatures
were examined. Stress analysis is considered according to Von Mises yield
criterion.

Proje Numarası

2017.03.05.01

Kaynakça

  • Arslan, E., & Mack, W. (2014). Elastic-plastic states of a radially heated thick-walled cylindrically curved panel. Forschung im Ingenieurwesen, 78(1-2), 1-11. https://doi.org/10.1007/s10010-014-0170-1
  • Arslan, E., & Eraslan, A. N. (2010). Analytical solution to the bending of a nonlinearly hardening wide curved bar. Acta Mechanica, 210(1-2), 71-84.https://doi.org/10.1007/s00707-009-0195-y
  • Dadras, P. (2001). Plane strain elastic–plastic bending of a strain-hardening curved beam. International journal of mechanical sciences, 43(1), 39-56.https://doi.org/10.1016/S0020-7403(99)00102-2
  • Duc, N. D., & Van Tung, H. (2010). Nonlinear response of pressure-loaded functionally graded cylindrical panels with temperature effects. Composite Structures, 92(7), 1664-1672.https://doi.org/10.1016/j.compstruct.2009.11.033
  • Dryden, J. (2007). Bending of inhomogeneous curved bars. International Journal of Solids and Structures, 44(11-12), 4158-4166.https://doi.org/10.1016/j.ijsolstr.2006.11.021
  • Eraslan, A. N., & Arslan, E. (2008). A concise analytical treatment of elastic‐plastic bending of a strain hardening curved beam. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik: Applied Mathematics and Mechanics, 88(8), 600-616.https://doi.org/10.1002/zamm.200600037
  • Eraslan, A. N., & Akis, T. (2006). On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems. Acta Mechanica, 181(1-2), 43-63.https://doi.org/10.1007/s00707-005-0276-5
  • Kiani, Y., Shakeri, M., & Eslami, M. R. (2012). Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation. Acta Mechanica, 223(6), 1199-1218.https://doi.org/10.1007/s00707-012-0629-9
  • Librescu, L., Nemeth, M. P., Starnes Jr, J. H., & Lin, W. (2000). Nonlinear response of flat and curved panels subjected to thermomechanical loads. Journal of thermal stresses, 23(6), 549-582.https://doi.org/10.1080/01495730050143134
  • Mohammadi, M., & Dryden, J. R. (2008). Thermal stress in a nonhomogeneous curved beam. Journal of Thermal Stresses, 31(7), 587-598.https://doi.org/10.1080/01495730801978471
  • Peng, X. L., & Li, X. F. (2010). Thermal stress in rotating functionally graded hollow circular disks. Composite Structures, 92(8), 1896-1904.https://doi.org/10.1016/j.compstruct.2010.01.008
  • Shaffer, B. W., & House Jr, R. N. (1957). Displacements in a wide curved bar subjected to pure elastic-plastic bending. J. Appl. Mech. Trans. ASME, 24, 447-452.
  • Shaffer, B. W., & House, R. N. (1954). The elastic-plastic stress distribution within a wide curved bar subjected to pure bending. NEW YORK UNIV BRONX SCHOOL OF ENGINEERING AND SCIENCE.
  • Timoshenko, S.P. and Goodier, J.N. (1970) Theory of Elasticity, 3rd ed. McGraw-Hill, New York.
Yıl 2019, Cilt: 1 Sayı: 1, 25 - 39, 30.06.2019

Öz

Destekleyen Kurum

Şırnak Üniversitesi Bilimsel araştırma birimi

Proje Numarası

2017.03.05.01

Teşekkür

This work is supported by Sirnak University Research Fund (BAP), Project no: 2017.03.05.01.

Kaynakça

  • Arslan, E., & Mack, W. (2014). Elastic-plastic states of a radially heated thick-walled cylindrically curved panel. Forschung im Ingenieurwesen, 78(1-2), 1-11. https://doi.org/10.1007/s10010-014-0170-1
  • Arslan, E., & Eraslan, A. N. (2010). Analytical solution to the bending of a nonlinearly hardening wide curved bar. Acta Mechanica, 210(1-2), 71-84.https://doi.org/10.1007/s00707-009-0195-y
  • Dadras, P. (2001). Plane strain elastic–plastic bending of a strain-hardening curved beam. International journal of mechanical sciences, 43(1), 39-56.https://doi.org/10.1016/S0020-7403(99)00102-2
  • Duc, N. D., & Van Tung, H. (2010). Nonlinear response of pressure-loaded functionally graded cylindrical panels with temperature effects. Composite Structures, 92(7), 1664-1672.https://doi.org/10.1016/j.compstruct.2009.11.033
  • Dryden, J. (2007). Bending of inhomogeneous curved bars. International Journal of Solids and Structures, 44(11-12), 4158-4166.https://doi.org/10.1016/j.ijsolstr.2006.11.021
  • Eraslan, A. N., & Arslan, E. (2008). A concise analytical treatment of elastic‐plastic bending of a strain hardening curved beam. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik: Applied Mathematics and Mechanics, 88(8), 600-616.https://doi.org/10.1002/zamm.200600037
  • Eraslan, A. N., & Akis, T. (2006). On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems. Acta Mechanica, 181(1-2), 43-63.https://doi.org/10.1007/s00707-005-0276-5
  • Kiani, Y., Shakeri, M., & Eslami, M. R. (2012). Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation. Acta Mechanica, 223(6), 1199-1218.https://doi.org/10.1007/s00707-012-0629-9
  • Librescu, L., Nemeth, M. P., Starnes Jr, J. H., & Lin, W. (2000). Nonlinear response of flat and curved panels subjected to thermomechanical loads. Journal of thermal stresses, 23(6), 549-582.https://doi.org/10.1080/01495730050143134
  • Mohammadi, M., & Dryden, J. R. (2008). Thermal stress in a nonhomogeneous curved beam. Journal of Thermal Stresses, 31(7), 587-598.https://doi.org/10.1080/01495730801978471
  • Peng, X. L., & Li, X. F. (2010). Thermal stress in rotating functionally graded hollow circular disks. Composite Structures, 92(8), 1896-1904.https://doi.org/10.1016/j.compstruct.2010.01.008
  • Shaffer, B. W., & House Jr, R. N. (1957). Displacements in a wide curved bar subjected to pure elastic-plastic bending. J. Appl. Mech. Trans. ASME, 24, 447-452.
  • Shaffer, B. W., & House, R. N. (1954). The elastic-plastic stress distribution within a wide curved bar subjected to pure bending. NEW YORK UNIV BRONX SCHOOL OF ENGINEERING AND SCIENCE.
  • Timoshenko, S.P. and Goodier, J.N. (1970) Theory of Elasticity, 3rd ed. McGraw-Hill, New York.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Mehmet Haskul

Proje Numarası 2017.03.05.01
Yayımlanma Tarihi 30 Haziran 2019
Gönderilme Tarihi 2 Mayıs 2019
Kabul Tarihi 29 Mayıs 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 1 Sayı: 1

Kaynak Göster

APA Haskul, M. (2019). Thermal stresses in a cylindrically curved FGM beam. Şırnak Üniversitesi Fen Bilimleri Dergisi, 1(1), 25-39.