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Thermodynamic influences on shock waves in inhomogeneous elastic bodies. (English) Zbl 0274.73018


MSC:

74M20 Impact in solid mechanics
74A15 Thermodynamics in solid mechanics
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[1] Bethe, H.: The theory of shock waves for an arbitrary equation of state. Office of Scientific Research and Development, Division B, Report No. 545 (1942).
[2] Weyl, H.: Shock waves in arbitrary fluids. Comm. Pure Appl. Math.2, 103-122 (1949). · Zbl 0035.42004 · doi:10.1002/cpa.3160020201
[3] Harris, A. J.: The decay of plane, cylindrical and spherical shock waves, in: Underwater explosion research. Vol. 1, entitled: Shock Waves. A compendium of British and American Reports, Washington, D. C., Office of Naval Research (1950).
[4] Thomas, T. Y.: Extended compatibility conditions for the study of discontinuity in continuum mechanics. J. Math. Mech.6, 311-322 (1951). · Zbl 0077.37602
[5] Duvall, G. E., andR. C. Alverson: Fundamental research in support of vela-uniform, Semiannual Technical Summary Report No. 4, Menlo Park, Calif., Stanford Research Institute (1963).
[6] Achenbach, J. D., andG. Herrmann: Propagation of second-order thermomechanical disturbances in viscoelastic solids. Proceedings IUTAM Symposium East Kilbride, June 25-28, 1968 (Boley, B. A., ed.). Wien-New York: Springer 1970. · Zbl 0177.54502
[7] Chen, P. J., andM. E. Gurtin: On the growth of one-dimensional shock waves in materials with memory. Arch. Rational Mech. Anal.36, 33-46 (1970). · Zbl 0202.25305
[8] Chen, P. J.: One dimensional shock waves in elastic non-conductors. Arch. Rational Mech. Anal.43, 350-362 (1971). · Zbl 0246.73029 · doi:10.1007/BF00252001
[9] Chen, P. J., andM. E. Gurtin: Growth and decay of one-dimensional shock waves in fluids with internal state variables. Phys. Fluids14, 1091-1094 (1971). · Zbl 0216.53102 · doi:10.1063/1.1693568
[10] Chen, P. J.: One dimensional acceleration waves in inhomogeneous elastic non-conductors. Acta Mech. (forthcoming). · Zbl 0331.73025
[11] Chen, P. J.: One-dimensional shock waves in inhomogeneous elastic materials. Int. J. Solids Struct.8, 409-414 (1972). · Zbl 0232.73027 · doi:10.1016/0020-7683(72)90014-5
[12] Chen, P. J., andM. E. Gurtin: Thermodynamic influences on the growth of one-dimensional shock waves in materials with memory. Zeit. angew. Math. Phys.23, 69-79 (1972). · Zbl 0249.73004 · doi:10.1007/BF01593203
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