Viscoelastic material admitting simple waves

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Published: Jan 1, 1967
DOI: https://doi.org/10.22201/igeof.00167169p.1967.7.1.1220
Keywords:
Viscoelastic materials, Simple waves, Material theory

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Ismael Herrera Revilla
Universidad Nacional Autónoma de México, Instituto de Geofísica, Ciudad Universitaria, Delegación Coyoacán, 04510, Mexico.

Abstract

Recent work on the theory of materials with memory (Coleman, B. D. and M. E. Curtin, 1965a, 1965b; Coleman, B. D., M. E. Curtin and I. Herrera, 1965; Herrera, I. and M. E. Curtin, 1965; Varley, E., 1965) concerned with tlw study of singular surfaces in such materials has enlightened very much the basic structure of the governing equations of motion. It has been shown that under an appropriate smoothness hypothesis they behave in many respects like hyperbolic partial differential equations.

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Herrera Revilla, I. (1967). Viscoelastic material admitting simple waves. Geofisica Internacional, 7(1), 15–22. https://doi.org/10.22201/igeof.00167169p.1967.7.1.1220
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Vol. 7 No. 1 (1967): January 1, 1967
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References

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COLEMAN, B. D. & M. E. CURTIN. 1965a. Waves in Materials with Memory II-III-IV. Arch. Rational Mech. Anal. 19 : 239-298, 317-338. DOI: https://doi.org/10.1007/BF00253482

----. 1965b. Thermodynamics and Waves Propagation. Tech. Report No. 100, Division of App. Math., Brown University, Providence, R.I., U.S.A.

COLEMAN, B. D., M. E. GURTIN & I. HERRERA. 1965. Waves in Materials with Memory, I. Arch. Rational Mech. Anal., 19 : 1-19. DOI: https://doi.org/10.1007/BF00252275

GURTIN, M. E. & E. STERNBERG 1962. On the Linear Theory of Viscoelasticity. Arch. Rational Mech. Anal. II : 291-356. DOI: https://doi.org/10.1007/BF00253942

HERRERA, I. 1966. Riemann Representation Method in Viscoelasticity. Arch. Rational Mech. Anal., 22 : 270-291. DOI: https://doi.org/10.1007/BF00285420

HERRERA, I. & M. E. GURTIN 1965. A Correspondence Principle for Viscoelastic Wave Propagation. Quart Jour. Appl. Math. 22 : 360 364 DOI: https://doi.org/10.1090/qam/185903

PIPKIN, A. C. 1965. Shock Structure in a Viscoelastic Fluid. Internal Report. Brown University, Providence, R.I., U.S.A.

TRUESDELL, C. A. & W. NOLL. 1966. Encyclopedia of Physics, Vol. 3, Part. 3 (para aparecer - to appear).

VARLEY, E. 1965. Acceleration Fronts in Viscoelastic Materials. Arch. Rational Mech. Anal. 19 : 215-225. DOI: https://doi.org/10.1007/BF00277009