Discussion of Thermomechanics on the Basis of Frame Invariance of Physical Law

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概要

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• In continuum mechanics it is not clear what principle is equivalent to the principle of material frame indifference (PMFI). In the present paper, it is first shown that not only mechanical conservation laws but also frame transformation laws of constitutive quantities and source (quantities are simultaneously derived for a changing frame under the assumption that the forms of the first and second laws of thermodynamics are invariant for changes of frame. Next, considering whether the reverse proposition is true or false, an explanation of the relationship between the PMFI and the invariance of the laws of thermodynamics for changes of frame is given. Then the bases of the PMFI are determined, clarifying the relationship between the PMFI and the frame invariance of the Clausius-Duhem inequality. Moreover, it is indicated that this method, which enables derivation of conservation laws using changes of frame, is equivalent to both the principle of virtual power and the method of Green and Rivlin.

• 一般社団法人日本機械学会の論文
• 1994-01-15

著者

• Shizawa K

  Keio Univ. Yokohama Jpn

• Shizawa Kazuyuki

  Faculty Of Science And Technology

関連論文

• Theoretical Consideration on the Fundamental Behavior of Conducting Magnetic Fluids : Couette-like Flow
• Thermodynamic Discussions for Constitutive Equations of Magnetic Fluids with Viscoelastic Effect : Polar Fluid Theory
• Thermodynamical Discussions on the Basic Equations of Conducting Magnetic Fluids : Nonrelativistic and Nonpolar Theory
• NEW CONSTITUTIVE EQUATIONS FOR CONDUCTING MAGNETIC FLUIDS WITH INTERNAL ROTATION : THERMODYNAMICAL DISCUSSIONS
• Discussion of Thermomechanics on the Basis of Frame Invariance of Physical Law

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