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Online ISSN 1552-4485; Print ISSN 0033-569X
On the concept of rate-independence
Authors:
D. R. Owen and W. O. Williams
Journal:
Quart. Appl. Math. 26 (1968), 321-329
DOI:
https://doi.org/10.1090/qam/99849
MathSciNet review:
QAM99849
Full-text PDF Free Access
References | Additional Information
- Allen C. Pipkin and Ronald S. Rivlin, Mechanics of rate-independent materials, Z. Angew. Math. Phys. 16 (1965), 313–327 (English, with German summary). MR 203992, DOI https://doi.org/10.1007/BF01591911 D. R. Owen, Thermodynamics of rate-independent materials (forthcoming).
- C. Truesdell and W. Noll, The non-linear field theories of mechanics, Handbuch der Physik, Band III/3, Springer-Verlag, Berlin, 1965, pp. 1–602. MR 0193816
- Walter Noll, On the continuity of the solid and fluid states, J. Rational Mech. Anal. 4 (1955), 3–81. MR 67670, DOI https://doi.org/10.1512/iumj.1955.4.54001
- Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727
- Edgar Asplund and Lutz Bungart, A first course in integration, Holt, Rinehart and Winston, New York-Toronto, Ont.-London, 1966. MR 0194570
- 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 Walter Noll, Simple fluids with fading memory, Second-order Effects in Elasticity, Plasticity and Fluid Dynamics (Internat. Sympos., Haifa, 1962) Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1964, pp. 530–552. MR 0163526
- 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
- C. -C. Wang, Stress relaxation and the principle of fading memory, Arch. Rational Mech. Anal. 18 (1965), no. 2, 117–126. MR 1553472, DOI https://doi.org/10.1007/BF00282258
- C.-C. Wang, The principle of fading memory, Arch. Rational Mech. Anal. 18 (1965), 343–366. MR 179996, DOI https://doi.org/10.1007/BF00281325
Additional Information
Article copyright:
© Copyright 1968
American Mathematical Society