On the time decay of solutions in one-dimensional theories of porous materials

International Journal of Solids and Structures

Volumn 43, Issue 11-12, 2006, Pages 3414-3427

  Magaña, Antonio ^a   Quintanilla, Ramón ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Exponential stability; Porous viscoelasticity; Semigroup of contractions

Indexed keywords

DAMPING; ELASTICITY; TEMPERATURE; VISCOELASTICITY; VISCOSITY;

EXPONENTIAL STABILITY; MICROTEMPERATURES; POROUS-VISCOELASTICITY; SEMIGROUP OF CONTRACTIONS;

POROUS MATERIALS;

EID: 33646469406     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.06.077     Document Type: Article

References (20)

1. Casas P.S., and Quintanilla R. Exponential stability in thermoelasticity with microtemperatures. Int. J. Eng. Sci. 43 (2005) 33-47
2. Casas P.S., and Quintanilla R. Exponential decay in one-dimensional porous-themoelasticity. Mech. Res. Commun. 32 (2005) 625-658
3. Cowin S.C. The viscoelastic behavior of linear elastic materials with voids. J. Elasticity 15 (1985) 185-191
4. Cowin S.C., and Nunziato J.W. Linear elastic materials with voids. J. Elasticity 13 (1983) 125-147
5. Eringen A.C. Mechanics of micromorphic materials. In: Gortler H. (Ed). Proc. 11th. Congress of Appl. Mech. (1964), Springer, New York
6. Eringen A.C. Mechanics of micromorphic continua. In: Kroner E. (Ed). Mechanics of Generalized Continua (1967), Springer, Berlin 18-35
7. Eringen A.C. Microcontinuum Field Theories (1999), Springer, Berlin
8. Eringen A.C., and Kafadar C.B. Polar field theories. In: Eringen A.C. (Ed). Continuum Physics vol. IV (1976), Academic Press, New York
9. Grot R. Thermodynamics of continuum with microstructure. Int. J. Eng. Sci. 7 (1969) 801-814
10. Ieşan D. A theory of thermoelastic materials with voids. Acta Mech. 60 (1986) 67-89
11. Ieşan D. On a theory of micromorphic elastic solids with microtemperatures. J. Therm. Stress. 24 (2001) 737-752
12. Ieşan D. Thermoelastic Models of Continua (2004), Springer, Berlin
13. Ieşan D., and Quintanilla R. On a theory of thermoelasticity with microtemperatures. J. Therm. Stress. 23 (2000) 199-215
14. Jiang S., and Racke R. Evolution Equations in Thermoelasticity (2000), Chapman and Hall/CRC, Boca Raton
15. Liu Z., and Zheng S. Semigroups Associated with Dissipative Systems (1999), Chapman and Hall/CRC, Boca Raton
16. Magaña, A., Quintanilla, R., 2005. On the exponential decay of solutions in one-dimensional generalized porous-thermo-elasticity. Manuscript.
17. Nunziato J.W., and Cowin S.C. A nonlinear theory of elastic materials with voids. Arch. Rational Mech. Anal. 72 (1979) 175-201
18. Quintanilla R. Slow decay for one-dimensional porous dissipation elasticity. Appl. Math. Lett. 16 (2003) 487-491
19. Quintanilla R., and Racke R. Stability for thermoelasticity of type III. Discrete Contin. Dynam. Syst. B 3 (2003) 383-400
20. Slemrod M. Global existence, uniqueness and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity. Arch. Rational Mech. Anal. 76 (1981) 97-133