Gradient and size effects on spinodal and miscibility gaps
Document Type
Article
Publication Date
5-10-2018
Department
Department of Civil, Environmental, and Geospatial Engineering
Abstract
A thermodynamically consistent model of strain gradient elastodiffusion is developed. Its formulation is based on the enhancement of a robust theory of gradient elasticity, known as GRADELA, to account for a Cahn–Hilliard type of diffusion. Linear stability analysis is employed to determine the influence of concentration and strain gradients on the spinodal decomposition. For finite domains, spherically symmetric conditions are considered, and size effects on spinodal and miscibility gaps are discussed. The theoretical predictions are in agreement with the experimental trends, i.e., both gaps shrink as the grain diameter decreases and they are completely eliminated for crystals smaller than a critical size.
Publication Title
Continuum Mechanics and Thermodynamics
Recommended Citation
Tsagrakis, I.,
&
Aifantis, E.
(2018).
Gradient and size effects on spinodal and miscibility gaps.
Continuum Mechanics and Thermodynamics,
30(5), 1185-1199.
http://doi.org/10.1007/s00161-018-0673-3
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4642