|
Online ISSN 1552-4485; Print ISSN 0033-569X
When is a nonlinear viscoelastic material hyperelastic?
Author:
David W. Reynolds
Journal:
Quart. Appl. Math. 40 (1983), 492-496
MSC:
Primary 73F20
DOI:
https://doi.org/10.1090/qam/693881
MathSciNet review:
693881
Full-text PDF Free Access
References | Similar Articles | Additional Information
- W. A. Day, Thermodynamics based on a work axiom, Arch. Rational Mech. Anal. 31 (1968), no. 1, 1–34. MR 1553518, DOI https://doi.org/10.1007/BF00251512 W. A. Day, When is a linear viscoelastic material elastic? Mathematika 18, 134–137 (1971)
- William Alan Day, The thermodynamics of simple materials with fading memory, Springer-Verlag, New York-Heidelberg, 1972. Springer Tracts in Natural Philosophy, Vol. 22. MR 0366234
- Bernard D. Coleman and Walter Noll, An approximation theorem for functionals, with applications in continuum mechanics, Arch. Rational Mech. Anal. 6 (1960), 355–370 (1960). MR 119598, DOI https://doi.org/10.1007/BF00276168
- Bernard D. Coleman and Victor J. Mizel, Norms and semi-groups in the theory of fading memory, Arch. Rational Mech. Anal. 23 (1966), 87–123. MR 210343, DOI https://doi.org/10.1007/BF00251727
- W. A. Day, A theory of thermodynamics for materials with memory, Arch. Rational Mech. Anal. 34 (1969), 85–96. MR 249038, DOI https://doi.org/10.1007/BF00247460
- Shlomo Breuer and E. Turan Onat, On recoverable work in linear viscoelasticity, Z. Angew. Math. Phys. 15 (1964), 12–21 (English, with German summary). MR 178644, DOI https://doi.org/10.1007/BF01602660
- Bernard D. Coleman, Thermodynamics of materials with memory, Arch. Rational Mech. Anal. 17 (1964), 1–46. MR 171419, DOI https://doi.org/10.1007/BF00283864
Retrieve articles in Quarterly of Applied Mathematics with MSC: 73F20
Retrieve articles in all journals with MSC: 73F20
Additional Information
Article copyright:
© Copyright 1983
American Mathematical Society