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金属学报  1977, Vol. 13 Issue (4): 273-281    
  论文 本期目录 | 过刊浏览 |
弹塑性金属位错系统的热力学不可逆过程理论与位错应力激活运动
刘叔仪
中国科学技术大学
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
引用本文:

刘叔仪. 弹塑性金属位错系统的热力学不可逆过程理论与位错应力激活运动[J]. 金属学报, 1977, 13(4): 273-281.
. THERMODYNAMICAL THEORY OF IRREVERSIBLE PROCESSES FOR ELASTO-PLASTIC METAL-DISLOCATION SYSTEM AND STRESS-ACTIVATED MOTION OF DISLOCATIONS[J]. Acta Metall Sin, 1977, 13(4): 273-281.

全文: PDF(539 KB)  
摘要: 本文由不可逆过程热力学第一、二定律理解和计算位错应力激活速率,所得位错速率υ中有三个新的方面:(1)反映相互作用的活度系数γ,γ~≠;(2)与激活自由能ΔZ_0~≠平列的“激活内耗”,Δ~≠;和(3)可能把位错动力学和塑性学增量理论连接起来的“激活畸变增量”,Δe_(mn)~≠与畸变功: υ_0——位错体积; S_(jk,ejk)——偏应力、应变; 本文的理论方法与结果可为深入研究提供参考。
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.
收稿日期: 1977-04-18     
[1] Glasstone, S., Laidler K. J. and Hrying, H., 速率过程理论, 1941.
[2] Li,J.C.M.,“位错塑性的动力学与热力学”,《位错动力学》专集,1967,pp.87--116.
[3] 王竹溪,《热力学》,高等教育出版社,1953.
[4] 刘叔仪,《物理化学》,中国科学技术大学,1963,卷一;《热力学》,p.37,卷二;《物质结构与统计热力学》,p.170
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