Coupled thermoelasticity in a composite half-space

Journal of Engineering Mathematics

Volumn 56, Issue 1, 2006, Pages 1-21

  Parnell, William J ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Coupled thermoelasticity; Effective moduli; Homogenization

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPOSITE MATERIALS; COMPUTER SIMULATION; ELASTIC MODULI; VOLUME FRACTION;

COMPOSITE HALF-SPACE; COUPLED THERMOELASTICITY; EFFECTIVE MODULI; HOMOGENIZATION;

THERMOELASTICITY;

BOUNDARY VALUE PROBLEMS; COMPOSITE MATERIALS; COMPUTER SIMULATION; ELASTIC MODULI; THERMOELASTICITY; VOLUME FRACTION;

EID: 33748619512     PISSN: 00220833     EISSN: 15732703     Source Type: Journal    
DOI: 10.1007/s10665-006-9038-1     Document Type: Article

References (17)

1. Boley B.A., and Weiner J. (1960). Theory of Thermal Stresses. John Wiley and Sons, New York, 586 pp.
2. Danilovskaya V.I. (1950). Thermal stresses in an elastic halfspace arising after a sudden heating of its boundary (in Russian). Prikladnaya Matematika i Mechanika 14:316-318
3. Boley B.A., and Tolins I.S. (1962). Transient coupled thermoelastic boundary value problems in the half-space. J. Appl. Mech. 29:637-646
4. Achenbach J.D. (1963). Approximate transient solutions for the coupled equations of thermoelasticity. J. Acoust. Soc. Am. 36:10-18
5. Baczynski Z.F. (2003). Dynamic thermoelastic processes in microperiodic composites. J. Therm. Stresses 26:55-66
6. Bakhvalov N., and Panasenko G., Homogenization: Averaging Processes in Periodic Media. Kluwer (1989) 366 pp
7. Whitcomb J.D., and Noh J. (2000). Concise derivation of Formulas for 3D sublaminate homogenization. J. Comput. Mat. 34:522-535
8. Reddy J.N. (2003). Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. CRC Press, Boca Raton, 856 pp.
9. Kerner E.H. (1956). The elastic and thermo-elastic properties of composite media. Proc. Phys. Soc. B 69:808-813
10. Budiansky B. (1970). Thermal and thermoelastic properties of isotropic composites. J. Comput. Mat. 4:286-295
11. Laws N. (1973). On the thermostatics of composite materials. J. Mech. Phys. Solids 21:9-17
12. Francfort G.A. (1983). Homogenization and linear thermoelasticity. SIAM J. Math. Anal. 14:696-708
13. Solaroli G., Gu Z., Baz A., and Ruzzene M. (2003). Wave propagation in periodic stiffened shells: Spectral finite element modelling and experiments. J. Vib. Control 9:1057-1081
14. Bouzit D., and Pierre C. (1995). An experimental investigation of vibration localization in disordered multispan beams. J. Sound Vib. 187:649-669
15. Parnell W.J., and Abrahams I.D., Dynamic Homogenization in Periodic Fibre Reinforced Media I Quasi-static limit for SH waves. Wave Motion, Accepted, February 2006.
16. Parnell W.J., and Abrahams I.D., An Introduction to Homogenization in Continuum Mechanics. Cambridge University Press, due out 2006.
17. Santosa F., and Vogelius M. (1993). First order corrections to the homogenized eigenvalues of a periodic composite medium. SIAM J. Appl. Math. 53:1636-1668