Thermodynamics and Wave Propagation in Non-Linear Materials with Memory
作者： B. D. Coleman , M. E. Gurtin
DOI: 10.1007/978-3-7091-5581-3_3
关键词: Partial differential equation 、 Perfect fluid 、 Classical mechanics 、 Dissipative system 、 Mathematics 、 Nonlinear system 、 Thermodynamics 、 Viscoelasticity 、 Continuum mechanics 、 Shock wave 、 Wave propagation
摘要: In the past year several articles have appeared on theory of propagating singular surfaces in non-linear dissipative materials1. Since non-equilibrium thermodynamics plays a basic role this infant subject, we prepared for symposium survey its most developed part: one-dimensional waves materials which do not conduct heat but long-range viscoelastic memory.
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sci-hub.st 参考文章(20)
Richard Courant, K. O. Friedrichs, Supersonic flow and shock waves ,(1948)
C. Truesdell, R. Toupin, The Classical Field Theories Handbuch der Physik. ,vol. 2, pp. 226- 858 ,(1960) , 10.1007/978-3-642-45943-6_2
Bernard D. Coleman, Morton E. Gurtin, THERMODYNAMICS AND WAVE PROPAGATION. Quarterly of Applied Mathematics. ,vol. 24, pp. 257- 262 ,(1966) , 10.1090/QAM/207265
Bernard D. Coleman, Morton E. Gurtin, Waves in materials with memory Archive for Rational Mechanics and Analysis. ,vol. 19, pp. 239- 265 ,(1965) , 10.1007/BF00250213
Bernard D. Coleman, James M. Greenberg, Morton E. Gurtin, WAVES IN MATERIALS WITH MEMORY. V. ON THE AMPLITUDE OF ACCELERATION WAVES AND MILD DISCONTINUITIES. Archive for Rational Mechanics and Analysis. ,vol. 22, pp. 333- 354 ,(1966) , 10.1007/BF00266558
W. A. Green, The growth of plane discontinuities propagating into a homogeneously deformed elastic material Archive for Rational Mechanics and Analysis. ,vol. 16, pp. 79- 88 ,(1964) , 10.1007/BF00281332
Thermodynamics and one dimensional shock waves in materials with memory Proc. R. Soc. Lond. A. ,vol. 292, pp. 562- 574 ,(1966) , 10.1098/RSPA.1966.0153
Bernard D. Coleman, Walter Noll, An Approximation Theorem for Functionals, with Applications in Continuum Mechanics Archive for Rational Mechanics and Analysis. ,vol. 6, pp. 355- 370 ,(1960) , 10.1007/BF00276168
Bernard D. Coleman, Victor J. Mizel, Norms and semi-groups in the theory of fading memory Archive for Rational Mechanics and Analysis. ,vol. 23, pp. 87- 123 ,(1966) , 10.1007/BF00251727
E. Varley, J. Dunwoody, The effect of non-linearity at an acceleration wave Journal of the Mechanics and Physics of Solids. ,vol. 13, pp. 17- 28 ,(1965) , 10.1016/0022-5096(65)90028-1