Thermodynamics and wave propagation

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

Authors: Bernard D. Coleman and Morton E. Gurtin
Journal: Quart. Appl. Math. 24 (1966), 257-262
MSC: Primary 73.35
DOI: https://doi.org/10.1090/qam/207265
MathSciNet review: 207265
Full-text PDF Free Access

J. Hadamard, Bull. Soc. Math. France 29 (1901) 50–60

R. Sips, J. Polymer Sci. 6 (1951) 285–293

J. L. Ericksen, On the propagation of waves in isotropic incompressible perfectly elastic materials, J. Rational Mech. Anal. 2 (1953), 329–337. MR 55928, DOI https://doi.org/10.1512/iumj.1953.2.52018

E. H. Lee and I. Kanter, J. Appl. Phys. 24 (1953) 1115–1122

A. E. Green and R. S. Rivlin, The mechanics of non-linear materials with memory, Arch. Rational Mech. Anal. 1 (1957), 1–21. MR 95628, DOI https://doi.org/10.1007/BF00297992
Walter Noll, A mathematical theory of the mechanical behavior of continuous media, Arch. Rational Mech. Anal. 2 (1958), 198–226. MR 105862, DOI https://doi.org/10.1007/BF00277929
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

C. Truesdell and R. A. Toupin, The classical field theories, In: Flügge’s Encyclopedia of Physics, 3/1 (1960) 225–793

Bernard D. Coleman and Walter Noll, Foundations of linear viscoelasticity, Rev. Modern Phys. 33 (1961), 239–249. MR 0158605, DOI https://doi.org/10.1103/RevModPhys.33.239
C. Truesdell, General and exact theory of waves in finite elastic strain, Arch. Rational Mech. Anal. 8 (1961), 263–296. MR 138259, DOI https://doi.org/10.1007/BF00277444

B.-T. Chu, March 1962, ARPA report from the Division of Engineering, Brown University (1962)

B. D. Coleman, Arch. Rational Mech. Anal. 17 (1964) 1–46

B. D. Coleman, Arch. Rational Mech. Anal. 17 (1964) 230–254

C. Truesdell, Internat. Sympos. Second-Order Effects, Haifa, 1962, (1964) 187–199

Bernard D. Coleman, Morton E. Gurtin, and Ismael Herrera R., Waves in materials with memory. I. The velocity of one-dimensional shock and acceleration waves, Arch. Rational Mech. Anal. 19 (1965), 1–19. MR 175397, DOI https://doi.org/10.1007/BF00252275

B. D. Coleman and M. E. Gurtin, Arch. Rational Mech. Anal. 19 (1965) 239–265

B. D. Coleman and M. E. Gurtin, Arch. Rational Mech. Anal. 19 (1965) 266–298

B. D. Coleman and M. E. Gurtin, Arch. Rational Mech. Anal. 19 (1965) 317–338

I. Herrera and M. E. Gurtin, A correspondence principle for viscoelastic wave propagation, Quart. Appl. Math. 22 (1965), 360–364. MR 185903, DOI https://doi.org/10.1090/S0033-569X-1965-0185903-3
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
Eric Varley, Acceleration fronts in viscoelastic materials, Arch. Rational Mech. Anal. 19 (1965), 215–225. MR 177565, DOI https://doi.org/10.1007/BF00277009
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
A. C. Pipkin, Shock structure in a viscoelastic fluid, Quart. Appl. Math. 23 (1965/66), 297–303. MR 191240, DOI https://doi.org/10.1090/S0033-569X-1966-0191240-3