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x  ## 留言板 引用本文: Citation: ## A PHENOMENOLOGICAL THEORY OF INTERFACE DYNAMICS IN THE PROCESS OF DIFFUSIONLESS PHASE TRANSFORMATION AND ITS APPLICATIONS

ZHANG JIN-XIU, LI XIE-JUN
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• #### 摘要

固态相变中相界面或畴界面的平均运动速度V与有效相变驱动力△G＇(相变驱动力△G与相界面运动阻力△GR之差)之间的关系可表示为V=φ(△G—△GR)。当有单向变化的外场(场强为ξ,变化速率为ξ)作用于相变系统并能诱导相界面运动时,就会产生母相/新相间的转变。在相变过程中同时叠加一个交变应力时,则可计算得界面动力学关系V=φ(△G—△GR)与相变过程内耗Q-1、相关的模量亏损(△M/M)、相变速率dF/dξ、相变应变ε0间的关系为 [d lnφ(△G-△GR)/d(△G-△GR)]= Q-1ω/n2M(dF/dξ)ξ = (△M/M)ω/nMε0(dF/dξ)ξ, 以及 (△M/M)/Q-1=ε0/n。此处ω为交变应力的圆频率,M为与振动模式有关的弹性模量,n为应力与界面运动的耦合因子。因此,界面动力学关系式的通解为 V = ∑(±n)/(α≠-1) Aα exp{[(△G-△GR)/△Gα*]α+ 1/(α+ 1)} +∑(m)/(β0) Aβ[(△G-△GR)/△Gβ*]β 此处n,m为正整数。上式中的各项参数可由实验数据确定。此外,(△M/M)/Q-1的等式还可用于判别相变过程的模量亏损中有无声子模软化的贡献。

#### Abstract

The relationship between average velocity of phase and/or domain interface V and the effective phase transformation (PT) driving force in the process of diffusionless (DL) PT △G＇ (the difference between PT driving force AG and the resistence △GR, △G＇=△G - △GR) can be expressed as V = φ(△G - △GR). Consider a monodirectional varying external field (intensity is ξ and varying rate is ξ) exerted on a DLPT system, the phase interface moves and then the DLPT takes place when △G provided by the external field increases to a critical value △GR. If a hamonic external stress σ = σ0 sin ωt which can interact with the moving interface exerts on the system and the coupling factor is n,an expression between dynamic relation of interface V = φ(△G - △GR) and the internal friction in the DLPT process Q-1, related modulus defect △M/M, PT rate dF/dξ and the PT strain ε0 can be derived as d lnφ(△G＇)/d△G＇= Q-1ω/n2M(dF/dξ) = (△M/M)ω/nMε0(dF/dξ)ξ, or and (△M/M)Q-1=ε0/n. where ω is frequency of hamonic stress, M is modulus related to vibration mode. A gerenal solution of the interface dynamic equation can be obtained as V = ∑(±n)/(α≠-1) Aα exp[((△G - △GR)/△Gα*)α+1/(α+ 1)] +∑(m)/(β0) Aβ(△G-△GR)/△Gβ*)β where Aα,Aβare coefficient, △Gα* and △Gβ* are resistance parameters related to the high velocity interface. The specific solution and the value of △GR can be determined by the experimental data of the internal friction in the DLPT with diffrent ξ. The equation of (△M/M )/Q-1 can be used to determine whether the soft mode contributes in the process of DLPT.

## 无扩散相变中界面动力学的唯象理论及其应用

• 1. 中山大学物理系

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