Structural Engineering and Mechanics

  • 제49권1호
  • /
  • Pages.41-64
  • /
  • 2014
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Stochastic analysis of elastic wave and second sound propagation in media with Gaussian uncertainty in mechanical properties using a stochastic hybrid mesh-free method

  • Hosseini, Seyed Mahmoud (Industrial Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad) ;
  • Shahabian, Farzad (Civil Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad)
  • 투고 : 2012.10.22
  • 심사 : 2013.12.09
  • 발행 : 2014.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

The main objective of this article is the exploitation of a stochastic hybrid mesh-free method based on stochastic generalized finite difference (SGFD), Newmark finite difference (NFD) methods and Monte Carlo simulation for thermoelastic wave propagation and coupled thermoelasticity analysis based on GN theory (without energy dissipation). A thick hollow cylinder with Gaussian uncertainty in mechanical properties is considered as an analyzed domain for the problem. The effects of uncertainty in mechanical properties with various coefficients of variations on thermo-elastic wave propagation are studied in details. Also, the time histories and distribution on thickness of cylinder of maximum, mean and variance values of temperature and radial displacement are studied for various coefficients of variations (COVs).

키워드

참고문헌

  1. Bagri, A. and Eslami, M.R. (2007a), "A unified generalized thermoelasticity; solution for cylinders and spheres", Int. J. Mech. Sci., 49, 1325-1335. https://doi.org/10.1016/j.ijmecsci.2007.04.004
  2. Bagri, A. and Eslami, M.R. (2007b), "A unified generalized thermoelasticity formulation; application to thick functionally graded cylinders", J. Thermal Stress., 30, 911-930. https://doi.org/10.1080/01495730701496079
  3. Benito, J.J., Urena, F. and Gavete, L. (2001), "Influence of several factors in the generalized finite difference method", Appl. Math. Model., 25(12), 1039-1053. https://doi.org/10.1016/S0307-904X(01)00029-4
  4. Benito, J.J., Urena, F. and Gavete, L. (2003), "An h-adaptive method in the generalized finite differences", Comput. Meth. Appl. Mech. Eng., 192, 735-739. https://doi.org/10.1016/S0045-7825(02)00594-7
  5. Benito, J.J., Urena, F. and Gavete, L. (2007), "Solving parabolic and hyperbolic equations by the generalized finite difference method", J. Comput. Appl. Math., 209, 208-233. https://doi.org/10.1016/j.cam.2006.10.090
  6. Chandrasekharaiah, D.S. (1998), "Hyperbolic thermoelasticity: a review of recent literature", Appl. Mech. Rev., 51, 705-729. https://doi.org/10.1115/1.3098984
  7. Chiba, R. and Sugano, Y. (2008), "Stochastic analysis of a thermoelastic problem in functionally graded plates with uncertain material properties", Arch. Appl. Mech., 78(10), 749-764. https://doi.org/10.1007/s00419-007-0188-z
  8. Chiba, R. (2009), "Stochastic thermal stresses in an FGM annular disc of variable thickness with spatially random heat transfer coefficients", Meccanica, 44(2), 159-176. https://doi.org/10.1007/s11012-008-9158-y
  9. Gavete, L., Benito, J.J. and Gavete, M.L. (2003), "Improvements of generalized finite difference method and comparison with other meshless method", Appl. Math. Model., 27(10), 831-847. https://doi.org/10.1016/S0307-904X(03)00091-X
  10. Green, A. E. and Naghdi, P. M. (1993), "Thermoelasticity without energy dissipation", J. Elastic., 31, 189-208. https://doi.org/10.1007/BF00044969
  11. Hosseini, S.M., Akhlaghi, M. and Shakeri, M. (2008), "Heat conduction and heat wave propagation in functionally graded thick hollow cylinder base on coupled thermoelasticity without energy dissipation", Heat Mass Tran., 44, 1477-1484. https://doi.org/10.1007/s00231-008-0381-9
  12. Hosseini, S.M. (2009), "Coupled thermoelasticity and second sound in finite length functionally graded thick Hollow cylinders (without energy dissipation)", Mater. Des., 30, 2011-2023. https://doi.org/10.1016/j.matdes.2008.08.048
  13. Hosseini, S.M. and Shahabian, F. (2011a), "Transient analysis of thermo-elastic waves in thick Hollow cylinders using a stochastic hybrid numerical method, considering Gaussian mechanical properties", Appl. Math. Model., 35, 4697-4714. https://doi.org/10.1016/j.apm.2011.03.057
  14. Hosseini, S.M. and Shahabian, F. (2011b), "Stochastic assessment of thermo-elastic wave propagation in Functionally Graded Materials (FGMs) with Gaussian uncertainty in constitutive mechanical properties", J. Thermal Stress., 34, 1071-1099. https://doi.org/10.1080/01495739.2011.605995
  15. Hosseini, S.M., Sladek, J. and Sladek, V. (2011c), "Meshless local Petrov-Galerkin method for coupled thermo-elasticity analysis of a functionally graded thick Hollow cylinder", Eng. Anal. Bound. Elem., 35, 827-835. https://doi.org/10.1016/j.enganabound.2011.02.001
  16. Hosseini, S.M., Shahabian, F., Sladek, J. and Sladek, V. (2011d), "Stochastic meshless local Petrov-Galerkin (MLPG) method for thermo-elastic wave propagation analysis in functionally graded thick hollow cylinders", Comput. Model. Eng. Sci., 71(1), 39-66.
  17. Melnik, R.V.N. (2001), "Discrete models of coupled dynamic thermoelasticity for stress-temperature formulations", Appl. Math. Comput., 122, 107-1328. https://doi.org/10.1016/S0096-3003(00)00026-6
  18. Sherief, H.H., El-Maghraby, N.M. and Allam, A. (2013), "Stochastic thermal shock problem in generalized thermoelasticity", Appl. Math. Model., 37(3), 762-775. https://doi.org/10.1016/j.apm.2012.02.056
  19. Taheri, H., Fariborz, S. and Eslami, M.R. (2005), "Thermoelastic analysis of an annulus using the Green- Naghdi model", J. Thermal Stress., 28(9), 911-927. https://doi.org/10.1080/01495730590964909

피인용 문헌

  1. Stochastic elastic wave analysis of angled beams vol.56, pp.5, 2015, https://doi.org/10.12989/sem.2015.56.5.767
  2. Generalized coupled non-Fickian/non-Fourierian diffusion-thermoelasticity analysis subjected to shock loading using analytical method vol.60, pp.3, 2016, https://doi.org/10.12989/sem.2016.60.3.529
  3. Perturbation based stochastic isogeometric analysis for bending of functionally graded plates with the randomness of elastic modulus vol.17, pp.7, 2014, https://doi.org/10.1590/1679-78256066