Free energies in the frequency domain: the scalar case-Reference-Cited by-同舟云学术

Free energies in the frequency domain: the scalar case

Published:2000 Issue:1 Volume:58 Page:127-150
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Golden J. M.

Abstract

A general closed expression is given for the isothermal minimum free energy of a linear viscoelastic material in terms of Fourier-transformed quantities. A one-parameter family of free energies is constructed, ranging continuously from the maximum to the minimum free energies.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/2000-58-01/S0033-569X-2000-1739041-7/S0033-569X-2000-1739041-7.pdf

Reference31 articles.

1. A. J. Staverman and F. Schwarzl, Thermodynamics of viscoelastic behaviour, Proc. Konink. Nederl. Akad. Wettensch. B55, 474-485 (1952)

2. International Series of Monographs on Pure and Applied Mathematics, Vol. 10;Bland, D. R.,1960

3. Tentative equations for the propagation of stress, strain and temperature fields in viscoelastic solids;Hunter, S. C.;J. Mech. Phys. Solids,1961

4. On recoverable work in linear viscoelasticity;Breuer, Shlomo;Z. Angew. Math. Phys.,1964

5. S. Breuer and E. T. Onat, On the determination of free energy in viscoelastic solids, Z. Angew. Math. Phys. 15, 185-191 (1964)

Cited by 56 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Viscoelastic and Electromagnetic Materials with Nonlinear Memory;Materials;2022-09-30

2. Free Energies for Nonlinear Materials with Memory;Journal of Elasticity;2022-03

3. Viscoelastic Solids and Fluids;Thermodynamics of Materials with Memory;2021

4. A Linear Memory Model;Thermodynamics of Materials with Memory;2021

5. The Minimum and Related Free Energies for Dielectric Materials;Thermodynamics of Materials with Memory;2021