Diffusion and Stress Coupling Effect during Oxidation at High Temperature

We report the diffusion and stress coupling effect during oxidation. An analytical model is developed for the stress and diffusion coupling effect based on equilibrium relationship and diffusion equation considering for the stress effect. Compressive stress will generate during the oxidation due to the growth strain. This growth stress can modify the diffusion coefficient; therefore, the oxidation kinetics is also affected. The coupling effect reduces both the oxidation rate and the stress. The proposed model is applied to predict the oxidation evolution for SiC and its consistence with the experimental data demonstrates the theoretical analysis.

[1]  A. Rosakis,et al.  Thin film/substrate systems featuring arbitrary film thickness and misfit strain distributions. Part II: Experimental validation of the non-local stress/curvature relations , 2007 .

[2]  E. Opila,et al.  A Comparison of the Oxidation Kinetics of SiC and Si3 N 4 , 1995 .

[3]  H. Evans Stress effects in high temperature oxidation of metals , 1995 .

[4]  K. Hwang,et al.  Oxidation stress evolution and relaxation of oxide film/metal substrate system , 2012 .

[5]  E. Opila,et al.  A Comparison of the Oxidation Kinetics of SiC and Si3N4. , 1995 .

[6]  Anthony G. Evans,et al.  Mechanisms controlling the durability of thermal barrier coatings , 2001 .

[7]  Huajian Gao,et al.  Improved cycling stability of silicon thin film electrodes through patterning for high energy density lithium batteries , 2011 .

[8]  Huajian Gao,et al.  Analytical model of transient compressive stress evolution during growth of high diffusivity thin films on substrates , 2010 .

[9]  E. Jordan,et al.  Thermal Barrier Coatings for Gas-Turbine Engine Applications , 2002, Science.

[10]  On The Mechanics of Indentation Induced Lateral Cracking , 2004 .

[11]  K. Chou A Kinetic Model for Oxidation of Si–Al–O–N Materials , 2006 .

[12]  A. Bartz,et al.  Strength Degradation and Failure Mechanisms of Electron‐Beam Physical‐Vapor‐Deposited Thermal Barrier Coatings , 2004 .

[13]  D. Wilkinson,et al.  Modeling of oxidation-induced growth stresses , 2004 .

[14]  L. Gray,et al.  Kinetically Driven Growth Instability in Stressed Solids , 1998 .

[15]  A. Evans,et al.  The Mechanics of Indentation Induced Lateral Cracking , 2005 .

[16]  F. N. Rhines,et al.  The role of oxide microstructure and growth stresses in the high-temperature scaling of nickel , 1970 .

[17]  Huajian Gao,et al.  A surface locking instability for atomic intercalation into a solid electrode , 2010 .

[18]  Shaopeng Ma,et al.  Full-field measurement of nonuniform stresses of thin films at high temperature. , 2011, Optics express.

[19]  D. Clarke The lateral growth strain accompanying the formation of a thermally grown oxide , 2003 .

[20]  E. D. Rekow,et al.  Failure Modes in Ceramic‐Based Layer Structures: A Basis for Materials Design of Dental Crowns , 2007 .

[21]  D. Clarke Stress generation during high-temperature oxidation of metallic alloys , 2002 .

[22]  Mark M. Opeka,et al.  Modeling Oxidation Kinetics of SiC‐Containing Refractory Diborides , 2012 .

[23]  J. Lamon,et al.  Oxidation of Silicon Carbide Fibers During Static Fatigue in Air at Intermediate Temperatures , 2009 .

[24]  A. Rosakis,et al.  Multi-layer thin films/substrate system subjected to non-uniform misfit strains , 2008 .

[25]  J. F. Dinhut,et al.  On the growth strain origin and stress evolution prediction during oxidation of metals , 2006 .

[26]  R. Hay Growth stress in SiO2 during oxidation of SiC fibers , 2011 .