An Application of the Absolute Reaction Rate Theory to Some Problems in Annealing

Abstract

Absolute rate theory is combined with molecular models in the study of the annealing of metals and of glass. It is thus possible to obtain expressions which are in close agreement with experimental data. Both the observed first-order data for metals and the second-order data for glass are predicted in this way. A virtue of the rate theory treatment is that it replaces the earlier macroscopic theories with a treatment in molecular terms.

Plastic flow in very low temperature regime within annular micropores

“…Eyring's contribution to this subject was the formal development of the transition state theory which provided the basis for deformation kinetics, as well as all other thermally activated processes, such as crystallisation, diffusion, polymerisation, etc. [12,24,29].…”

“…2. Firstly, this material can be expressed as [12,24,29,31]Γ =Γ 0 sinh(τ /τ 0 ), whereΓ is the shear rate, τ is the shear stress, andΓ…”

“…In fact, the mechanical behavior of amorphous materials such as polymers [9][10] and bulk metallic glasses [11][12] continues to present great theoretical challenges. While dislocations have long been recognized as playing a central role in plasticity of crystalline systems, no counterpart is easily identifiable in disordered matter.…”

“…The glassy matter will be treated as a shear-shinning material. To consider the transport of this kind of glass (shear-thinning) matter in microdomain, we adopt the verified model initiated by Cagle and Eyring [12] which was used to study the annealing of glass. To obtain the law of annealing of glass for explaining the too rapid annealing at the earliest time, because the relaxation at the beginning was steeper than could be explained by the bimolecular law, Cagle and Eyring [12] tried a hyperbolic sine law between the shear (strain) rate:Γ and (large) shear stress: τ and obtained the close agreement with experimental data.…”

“…To consider the transport of this kind of glass (shear-thinning) matter in microdomain, we adopt the verified model initiated by Cagle and Eyring [12] which was used to study the annealing of glass. To obtain the law of annealing of glass for explaining the too rapid annealing at the earliest time, because the relaxation at the beginning was steeper than could be explained by the bimolecular law, Cagle and Eyring [12] tried a hyperbolic sine law between the shear (strain) rate:Γ and (large) shear stress: τ and obtained the close agreement with experimental data. This model has sound physical foundation from the thermal activation process (Eyring already considered a kind of (quantum) tunneling which relates to the matter rearranging by surmounting a potential energy barrier [29]; cf., Fig.…”