Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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
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References | Additional Information

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  • [1] A. C. Pipkin and R. S. Rivlin, Mechanics of rate-independent materials, Z. Angew. Math. Phys. 16, 313-326 (1965). MR 0203992
  • [2] D. R. Owen, Thermodynamics of rate-independent materials (forthcoming).
  • [3] C. Truesdell and W. Noll, The non-linear field theories of mechanics, Handbuch der Physik, b. III/2, edited by S. Flugge, Springer-Verlag, Berlin, 1965. MR 0193816
  • [4] W. Noll, On the continuity of the solid and fluid states, J. Rational Mech. Anal. 4, 3-81 (1955). MR 0067670
  • [5] F. Riesz and B. Sz.-Nagy, Functional analysis, transl. by L. F. Boron, Ungar, New York, 1955. MR 0071727
  • [6] E. Asplund and L. Bungart, A first course in integration, Holt, Rinehart and Winston, New York, 1966. MR 0194570
  • [7] B. D. Coleman and W. Noll, An approximation theorem for functionals, with applications in continuum mechanics, Arch. Rational Mech. Anal. 6, 355-370 (1960). MR 0119598
  • [8] B. D. Coleman and W. Noll, Simple fluids with fading memory, Proc. Intl. Sympos. Second-order Effects, Haifa, 1962: Macmillan, New York, 1964, pp. 530-552. MR 0163526
  • [9] B. D. Coleman and V. J. Mizel, Norms and semi-groups in the theory of fading memory, Arch. Rational Mech. Anal. 23, 87-123 (1966). MR 0210343
  • [10] C.-C. Wang, Stress relaxation and the principle of fading memory, Arch. Rational Mech. Anal. 18, 117-126 (1965). MR 1553472
  • [11] C.-C. Wang, The principle of fading memory, Arch. Rational Mech. Anal. 18, 343-366 (1965). MR 0179996


Additional Information

DOI: https://doi.org/10.1090/qam/99849
Article copyright: © Copyright 1968 American Mathematical Society

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