Maximum recoverable work, minimum free energy and state space in linear viscoelasticity

Quarterly of Applied Mathematics

Volumn 60, Issue 1, 2002, Pages 153-182

  Gentili, Giorgio ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; FREE ENERGY; HEAT LOSSES; INTEGRAL EQUATIONS; MATRIX ALGEBRA; STATE SPACE METHODS; TENSORS; THEOREM PROVING; THERMODYNAMICS; TOPOLOGY; VECTORS; VISCOELASTICITY;

ISOTHERMAL CONDITIONS; LINEAR VISCOELASTICITY; MAXIMUM RECOVERABLE WORK; MINIMUM FREE ENERGY;

MAXIMUM PRINCIPLE;

EID: 0036492582     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1878264     Document Type: Article

References (25)

1. On the maximum recoverable work in linear viscoelasticity
2. On the determination of free energy in linear viscoelasticity
3. A mathematical foundation for thermodynamics
4. Reversibility, recoverable work and free energy in linear viscoelasticity
5. Some results on the least work needed to produce a given strain in a given time in a viscoelastic material and a uniqueness theorem for dynamic viscoelasticity
6. The thermodynamics of simple materials with fading memory
7. On the analytic expression of the free energy in linear viscoelasticity
8. On the concepts of state and free energy in linear viscoelasticity
9. An explicit formula for the minimum free energy in linear viscoelasticity
10. Simple materials with fading memory
11. Free energies and dissipation properties for systems with memory
12. Internal dissipation, relaxation property, and free energy in materials with fading memory
13. Maximum and minimum free energies for a linear viscoelastic material
14. Viscoelastic relaxation functions compatible with thermodynamics
15. Systems of integral equations on a half-line with kernels depending on the difference of arguments
16. Free energies in the frequency domain: The scalar case
17. Sull'espressione dell'energia libera nei materiali viscoelastici lineari
18. Sull'espressione analitica di alcune grandezze termodinamiche nei materiali con memoria
19. Ancora sull'espressione analitica dell'energia libera nei materiali con memoria
20. Sulla nozione di stato materiali viscoelastici di tipo 'rate'
21. On dissipation inequalities and linear viscoelasticity
22. Minimal and maximal free energy for materials with memory
23. A new mathematical theory of simple materials
24. Dissipative dynamical systems. Part I: General theory