Math S.J.T.U. Phase Transformation and Applications ·Total differential -1 Euler 三一 0z Stiring approximately equation lnW!≈WlnW-W SJTU Thermodynamics of Materials Spring 2006 ©X.J.Jin Lecture 1 First law IPhase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 1 First law I Math • Total differential ≈ ln!ln − NNNN • Stiring approximately equation ⎟ −= 1 ⎠⎞ ⎜⎝⎛ ∂∂ ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ z xy zy xz yx x y z y z x z x y ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ −= ⎠⎞ ⎜⎝⎛ ∂∂ Euler