Browse > Article
http://dx.doi.org/10.12989/sem.2014.49.1.041

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)
Publication Information
Structural Engineering and Mechanics / v.49, no.1, 2014 , pp. 41-64 More about this Journal
Abstract
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).
Keywords
second sound; stochastic generalized finite difference (SGFD) method; thermal shock; coupled thermoelasticity; Gaussian uncertainty;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Bagri, A. and Eslami, M.R. (2007a), "A unified generalized thermoelasticity; solution for cylinders and spheres", Int. J. Mech. Sci., 49, 1325-1335.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
6 Chandrasekharaiah, D.S. (1998), "Hyperbolic thermoelasticity: a review of recent literature", Appl. Mech. Rev., 51, 705-729.   DOI   ScienceOn
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.   DOI
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.   DOI
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.   DOI   ScienceOn
10 Green, A. E. and Naghdi, P. M. (1993), "Thermoelasticity without energy dissipation", J. Elastic., 31, 189-208.   DOI   ScienceOn
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.   DOI
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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.   DOI   ScienceOn
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 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.   DOI   ScienceOn
18 Melnik, R.V.N. (2001), "Discrete models of coupled dynamic thermoelasticity for stress-temperature formulations", Appl. Math. Comput., 122, 107-1328.   DOI   ScienceOn
19 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.   DOI   ScienceOn