Thermoelastic wave propagation in inhomogeneous media

Archive of Applied Mechanics

Volumn 70, Issue 10, 2000, Pages 694-706

  Berezovski, A ^a   Engelbrecht, J ^a   Maugin, G A ^b  

^a TALLINN UNIVERSITY OF TECHNOLOGY   (Estonia)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

Discrete system; Numerical simulation; Thermoelastic wave

Indexed keywords

EID: 0009839341     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004190000114     Document Type: Article

References (18)

1. Maugin, G.A.: On shock waves and phase-transition fronts in continua. ARI (Springer) 50 (1998) 141-150
2. LeVeque, R.J.: Numerical methods for conservation laws. Basel: Birkhäuser 1990
3. Godlewski, R.; Raviart, P.-A.: Numerical approximation of hyperbolic systems of conservation laws. New York: Springer 1996
4. Godunov, S.K.: Finite difference methods for numerical computations of discontinuous solutions of equations of fluid dynamics. Mat. Sbornik 47 (1959) 271-306 (in Russian)
5. Fogarty, T.R.; LeVeque, R.J.: High-resolution finite volume methods for acoustic waves in periodic and random media. J. Acoust. Soc. Am. 106 (1999) 17-28
6. Muschik, W.: Fundamentals of non-equilibrium thermodynamics. In: Muschik, W. (ed.) Non-Equilibrium Thermodynamics with Applications to Solids, pp. 1-63. Wien: Springer 1993
7. LeVeque, R.J.: Wave propagation algorithms for multidimensional hyperbolic systems. J. Comput. Phys. 131 (1997) 327-353
8. LeVeque, R.J.: Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propagation algorithm. J. Comput. Phys. 148 (1998) 346-365
9. Nowacki, W.: Thermoelasticity. Oxford-Warszawa: Pergamon-PWN 1962
10. Maugin, G.A.; Berezovski, A.: Material formulation of finite-strain thermoelasticity and applications. J. Thermal Stresses 22 (1999) 421-449
11. Schottky, W.: Thermodynamik. Berlin: Springer 1961
12. Berezovski, A.: Continuous cellular automata for simulation of thermoelasticity. Proc. Estonian Acad. Sci. Phys. Math. 46 (1997) 5-13
13. Maugin, G.A.: Thermomechanics of plasticity and fracture. Cambridge, U.K: C.U.P. 1992
14. Forsythe, G.E.; Wasow, W.R.: Finite-difference methods for partial differential equations. New York: John Wiley & Sons 1959
15. Berezovski, A.; Rosenblum, V.: Thermodynamical modelling of heat conduction. Proc. Estonian Acad. Sci. Eng. 2 (1996) 196-208
16. Berezovski, A.: Simulation of non-linear heat conduction by means of thermodynamic-based algorithm. Int. J. Numer. Meth. Heat Fluid Flows 7 (1997) 711-721
17. Liska, R.; Wendroff, B.: Composite schemes for conservation laws. SIAM J. Numer. An. 35 (1998) 2250-2271
18. Berezovski, A.; Maugin, G.A.: Simulation of two-dimensional thermoelastic wave propagation by means of a composite wave-propagation algorithm. Research Report Mech 205/99, 40 pp. Tallinn: Institute of Cybernetics at Tallinn Technical University 1999