Stress, deformation and diffusion interactions in solids – A simulation study. (May 2015)

• Record Type: Journal Article
• Authors: Fischer, F.D.; Svoboda, J.
• Is Part Of: Journal of the mechanics and physics of solids. Volume 78(2015:May)
• Page Start: 427
• Page End: 442
• Publication Date: 2015-05
• Subjects: Diffusion -- Bulk -- Microstructure -- Viscoelastic material -- Stress relaxation -- Residual stress; Mechanics, Applied -- Periodicals; Solids -- Periodicals; Mechanics -- Periodicals; Mécanique appliquée -- Périodiques; Solides -- Périodiques; Mechanics, Applied; Solids; Periodicals; 531.05
• DOI: 10.1016/j.jmps.2015.02.018
• Languages: English
• ISSNs: 0022-5096

Abstract

Abstract: Equations of diffusion treated in the frame of Manning's concept, are completed by equations for generation/annihilation of vacancies at non-ideal sources and sinks, by conservation laws, by equations for generation of an eigenstrain state and by a strain–stress analysis. The stress-deformation-diffusion interactions are demonstrated on the evolution of a diffusion couple consisting of two thin layers of different chemical composition forming a free-standing plate without external loading. The equations are solved for different material parameters represented by the values of diffusion coefficients of individual components and by the intensity of sources and sinks for vacancies. The results of simulations indicate that for low intensity of sources and sinks for vacancies a significant eigenstress state can develop and the interdiffusion process is slowed down. For high intensity of sources and sinks for vacancies a significant eigenstrain state can develop and the eigenstress state quickly relaxes. If the difference in the diffusion coefficients of individual components is high, then the intensity of sources and sinks for vacancies influences the interdiffusion process considerably. For such systems their description only by diffusion coefficients is insufficient and must be completed by a microstructure characterization.