Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

An existence and uniqueness theorem for incremental viscoelasticity


Authors: R. Quintanilla and H. T. Williams
Journal: Quart. Appl. Math. 43 (1985), 287-294
MSC: Primary 73G15
DOI: https://doi.org/10.1090/qam/814227
MathSciNet review: 814227
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] A. C. Pipkin and R. S. Rivlin, Small deformations superposed on large deformations in materials with fading memory, Arch. Rat. Mech. Anal. 8 297-308 (1961) MR 0135755
  • [2] D. Iesan, Incremental equations in thermoelasticity, J. Therm. Stresses 3, 41-56 (1980)
  • [3] C. B. Navarro and R. Quintanilla, On existence and uniqueness in incremental thermoelasticity, to appear in J App. Math. and Phys. (ZAMP) MR 756406
  • [4] H. T. Williams, Theory and applications of thermoviscoelasticity, Ph.D. Thesis. University of East Anglia, 1983
  • [5] P. Chadwick and R. W. Ogden, On the definition of elastic moduli, Arch. Rat. Mech. Anal. 44 41-53 (1971) MR 0334655
  • [6] R. J. Knops and E. W. Wilkes, Theory of elastic stability, Handbuch der Physik, vol. VIa/3, C. Truesdell (Ed.), Springer, Berlin, 1973
  • [7] C. B. Navarro, On symmetry and monotinicity of relaxation functions in linear viscoelasticity, J. App. Math. and Phys. (ZAMP) 30, 541-546 (1979) MR 545896
  • [8] C. M. Dafermos, Contraction semigroups and trend to equilibrium in continuum mechanics, IUTAM/IMU Symp. on Applications of Methods of Functional Analysis to Problems in Mechanics, P. Germain and B Nayroles (Eds.), Lecture Notes in Math. 503, Springer, Berlin, pp. 295-306, 1976 MR 0521351
  • [9] T. Kato, Linear evolution equations of the hyperbolic type, II, J. Math. Soc. Japan, 5 (1973) MR 0326483
  • [10] S. Chirita, Uniqueness and continuous dependence results for the incremental thermoelasticity, J. Therm. Stresses 5, 161-172 (1982) MR 695429

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 73G15

Retrieve articles in all journals with MSC: 73G15


Additional Information

DOI: https://doi.org/10.1090/qam/814227
Article copyright: © Copyright 1985 American Mathematical Society

American Mathematical Society