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Thermal stresses in a cylindrically curved FGM beam

Year 2019, Volume: 1 Issue: 1, 25 - 39, 30.06.2019

Abstract

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.

Project Number

2017.03.05.01

References

  • 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.
Year 2019, Volume: 1 Issue: 1, 25 - 39, 30.06.2019

Abstract

Supporting Institution

Şırnak Üniversitesi Bilimsel araştırma birimi

Project Number

2017.03.05.01

Thanks

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

References

  • 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.
There are 14 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Mehmet Haskul

Project Number 2017.03.05.01
Publication Date June 30, 2019
Submission Date May 2, 2019
Acceptance Date May 29, 2019
Published in Issue Year 2019 Volume: 1 Issue: 1

Cite

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