Elements of Thermodynamics

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In general, of course, rocks are not statistically homogeneous. There is some kind of organization. In the classical approximation this is usually ignored, however. In the direct calculation, the evaluation of 1 u = ∫ u( x, y, z) dxdydz requires the knowledge of the V V exact quantities and geometry of all constituents. This is often not known, but we can calculate reliable bounds.
(a) Deformation is perpendicular to layers. We define M a =(σ/ε) a We have σ=σ 1 =σ 2 homogeneous stress (Reuss) And ε=ε 1 V 1 +ε 2 V 2 Thus 1/M a =V 1 /M 1 +V 2 /M 2
Page 1 and 2: Elements of Thermodynamics Indispen
Page 3 and 4: We distinguish extensive (size depe
Page 5 and 6: Consider a system of n extensive qu
Page 7 and 8: Conjugate quantities are related by
Page 9 and 10: Thermodynamic potentials The energy
Page 11 and 12: Energy can be expressed using vario
Page 13 and 14: These expressions allow us to defin
Page 15 and 16: dU = TdS − PdV # dU = % ∂U $
Page 17: ⎟⎟ ⎠⎠ ⎞⎞ ⎜⎜ ⎝⎝
Page 20 and 21: In general, the heterogeneity depen
Page 24 and 25: (b) Deformation is parallel to laye

Elements of Thermodynamics

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