On the thermodynamics of materials with memory.

*(English)*Zbl 0197.23402##### Keywords:

mechanics of solids
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\textit{B. D. Coleman} and \textit{D. R. Owen}, Arch. Ration. Mech. Anal. 36, 245--269 (1970; Zbl 0197.23402)

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##### References:

[1] | 1958 [1] Noll, W., A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2 (1958–1959), 197–226. · Zbl 0083.39303 |

[2] | 1960 [1] Coleman, B. D., & W. Noll, An approximation theorem for functionals, with applications in continuum mechanics. Arch. Rational Mech. Anal. 6, 355–370. · Zbl 0097.16403 |

[3] | 1961 [1] Coleman, B. D., & W. Noll, Foundations of linear viscoelasticity. Rev. Mod. Phys. 33, 239–249. Erratum: ibid Rev. Mod. Phys. 36, 1103. · Zbl 0103.40804 |

[4] | 1962 [1] Coleman, B. D., & W. Noll, Simple fluids with fading memory. Proc. Intl. Sympos. Second-order Effects, Haifa. 530–552. |

[5] | 1963 [1] Coleman, B. D., & W. Noll, The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rational Mech. Anal. 13, 167–178. · Zbl 0113.17802 |

[6] | 1964 [1] Coleman, B. D., Thermodynamics of materials with memory. Arch. Rational Mech. Anal. 17, 1–46. |

[7] | 1964 [2] Coleman, B. D., On thermodynamics, strain impulses, and viscoelasticity. Arch. Rational Mech. Anal. 17, 230–254. · Zbl 0125.13603 |

[8] | 1964 [3] Valentine, F. A., Convex Sets. New York etc.: McGraw Hill. |

[9] | 1965 [1] Wang, C.-C., Stress relaxation and the principle of fading memory. Arch. Rational Mech. Anal. 18, 117–126. · Zbl 0125.41504 |

[10] | 1966 [1] Coleman, B. D., & V. J. Mizel, Norms and semi-groups in the theory of fading memory. Arch. Rational Mech. Anal. 23, 87–123. · Zbl 0146.46104 |

[11] | 1966 [2] Mizel, V. J., & C.-C. Wang, A fading memory hypothesis which suffices for chain rules. Arch. Rational Mech. Anal. 23, 124–134. · Zbl 0171.47201 |

[12] | 1966 [3] Wang, C.-C., & R. M. Bowen, On the thermodynamics of non-linear materials with quasi-elastic response. Arch. Rational Mech. Anal. 22, 79–99. · Zbl 0152.43001 |

[13] | 1967 [1] Coleman, B. D., & V. J. Mizel, A general theory of dissipation in materials with memory. Arch. Rational Mech. Anal. 27, 255–274. |

[14] | 1968 [1] Coleman, B. D., & E. H. Dill, On the stability of certain motions of incompressible materials with memory. Arch. Rational Mech. Anal. 30, 197–224. · Zbl 0167.54203 |

[15] | 1968 [2] Coleman, B. D., & V. J. Mizel, On the general theory of fading memory. Arch. Rational Mech. Anal. 29, 18–31. · Zbl 0167.24704 |

[16] | 1968 [3] Coleman, B. D., & V. J. Mizel, On thermodynamic conditions for the stability of evolving systems. Arch. Rational Mech. Anal. 29, 105–113. · Zbl 0159.56106 |

[17] | 1968 [4] Coleman, B. D., & V. J. Mizel, On the stability of solutions of functional-differential equations. Arch. Rational Mech. Anal. 30, 173–196. · Zbl 0184.36801 |

[18] | 1968 [5] Gurtin, M. E., On the thermodynamics of material with memory. Arch. Rational Mech. Anal. 28, 40–50. · Zbl 0169.28002 |

[19] | 1968 [6] Owen, D. R., Thermodynamics of materials with elastic range. Arch. Rational Mech. Anal. 31, 91–112. · Zbl 0169.28003 |

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