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| THERMODYNAMICAL THEORY OF IRREVERSIBLE PROCESSES FOR ELASTO-PLASTIC METAL-DISLOCATION SYSTEM AND STRESS-ACTIVATED MOTION OF DISLOCATIONS |
| Liu Shu-I University of Science and Technology of China |
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Cite this article:
Liu Shu-I University of Science and Technology of China. THERMODYNAMICAL THEORY OF IRREVERSIBLE PROCESSES FOR ELASTO-PLASTIC METAL-DISLOCATION SYSTEM AND STRESS-ACTIVATED MOTION OF DISLOCATIONS. Acta Metall Sin, 1977, 13(4): 273-281.
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Abstract Thermodynamical functions of metal-dislocation system are defined in phy-sico-chemical space of states by taking P=(1/3)σ_(kk) in connection with plastic in-compressibility. Irreversible shear deformation of this system is treated by the-rmodynamical laws of irreversible processes. In a way equivalent to the introduction of entropy production from theclassical second law for irreversible processes, the free energy change ΔZ_(T.P) isexpressed in terms of dissipations Δ' and Δ_Z, ΔZ_(T.P)= -A'_(iR)-Δ_Z when distor-sion work A'_(iR) is done by the system, and ΔZ_(T.R)= A'_(iR)-Δ', when work is doneto the system by applied deviational stress field, S_(jk). In a way parallel to the derivation of Nernst equation for reversible cells,the above ΔZ_(T.P) expressions, together with reaction isotherm, ΔZ_(T.P)=ΔZ_0~≠+kTln (γ~≠x~≠/γx), give the concentration x~≠ of activated dislocations, and simple kin-etic arguments lead to the rate of movement v, of dislocations under applieddeviational stress field S_(jk):wherein Δ' and Δz are taken to be equal for the case of symmetrical barrier,Δ'=Δ_z=Δ~≠ which is the monotonous internal friction of irreversible stress acti-vation; Δe_(mn)~≠ is the deviational increment of activation, and v_0, the volume ofeach dislocation. Other results are given in the Chinese text.
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Received: 18 April 1977
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