Diffusion-induced stress in inhomogeneous materials:concentration-dependent elastic modulus

作     者：YANG FuQian 

作者机构：Materials Program Department of Chemical and Materials Engineering University of Kentucky Lexington KY 40506 USA 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2012年第55卷第6期

页      面：955-962页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 

主　　题：diffusion-induced stresses concentration-dependent elastic modulus 

摘      要：By incorporating the contribution of solute atoms to the Helmholtz free energy of solid solution,a linear relation is derived between Young s modulus and the concentration of solute *** solute atoms can either increase or decrease Young s modulus of solid solution,depending on the first-order derivative of the Helmholtz free energy with respect to the concentration of solute *** this relation,a closed-form solution of the chemical stress in an elastic plate is obtained when the diffusion behavior in the plate can be described by the classical Fick s second law with convection boundary condition on one surface and zero flux on the other *** plate experiences tensile stress after short diffusion time due to asymmetrical diffusion,which will likely cause surface *** results show that the effect of the concentration dependence of Young s modulus on the evolution of chemical stress in elastic plates is negligible if the change of Young s modulus due to the diffusive motion of solute atomsis is not compatible in magnitude with Young s modulus of the pure ***,a new diffusion equation is developed for strictly regular binary solid *** effective diffusivity is a nonlinear function of the concentration of solute atoms.