On rigid linear heat conductors with memory

International Journal of Engineering Science

Volumn 36, Issue 7-8, 1998, Pages 765-782

  Fabrizio, M ^a   Gentili, G ^a   Reynolds, D W ^b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b DUBLIN CITY UNIVERSITY   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; HEAT FLUX; LINEAR EQUATIONS; MATHEMATICAL MODELS; STATE SPACE METHODS; THERMODYNAMICS;

ENERGY EQUATION; FREE PSEUDOENERGY; LINEAR HEAT CONDUCTORS;

HEAT CONDUCTION;

EID: 0032058191     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7225(97)00123-7     Document Type: Article

References (17)

1. Cattaneo C. Sulla conduzione del calore. Atti Sem Mat Fis Univ Modena 1948;3:83-101.
2. Coleman BD. Thermodynamics of materials with memory. Arch Rational Mech Anal 1964;17:1-46.
3. Coleman BD, Dill EH. On thermodynamics and stability of motions of materials with memory. Arch Rational Mech Anal 1973;51(1):1-53.
4. Coleman BD, Noll W. An approximation theorem for functionals, with applications in continuum mechanics. Arch Rat Mech Anal 1960;6:355-70.
5. Coleman BD, Owen DR. A mathematical foundation for thermodynamics. Arch Rational Mech Anal 1974;54(1):1-104.
6. Day WA. An objection to using entropy as a primitive concept in continuum thermodynamics. Acta Mech 1977;27:251-5.
7. Fabrizio M, Giorgi C, Morro A. Free energies and dissipation properties for systems with memory. Arch Rational Mech Anal 1994;125(3):341-73.
8. Giorgi C, Gentili G. Thermodynamic properties and stability for the heat flux equation with linear memory. Q Appl Math 1993;51(2):343-62.
9. Grabmueller H. On linear theory of heat conduction in materials with memory. Proc Roy Soc Edin 1977;76A:119-37.
10. Gurtin ME. On the thermodynamics of materials with memory. Arch Rational Mech Anal 1968;28:40-50.
11. Gurtin ME. Modern Continuum Thermodynamics, vol. 1 of Mechanics Today. Pergamom, 1972, pp 168-213.
12. Gurtin ME, Pipkin AC. A general theory of heat conduction with finite wave speeds. Arch Rational Mech Anal 1968;31(2):113-26.
13. Joseph DD, Preziosi L. Heat waves. Rev Mod Phys 1989;61:41-73.
14. Joseph DD, Preziosi L. Addendum to the paper Heat Waves. Rev Mod Phys 1990;62:375-91.
15. McCarthy M. Constitutive equations for thermomechanical materials with memory. Int J Eng Sci 1970;8:467-74.
16. Miller RK. An integro-differential equation for rigid heat conductors with memory. J Math Anal Appl 1978;66:313-32.
17. Nunziato J. On heat conduction in materials with memory. Q Appl Math 1971;29:187-204.