Abstract
Many materials are multiphasic, with an evolving, transient microstructure. If load-bearing phases within such a material dissolve while the material is under load, the stress being transmitted by those phases is handed off to neighboring phases, which leads to additional deformation. Thus, time-dependent dissolution results in creep or relaxation of the macroscopic material. To mechanistically model such dissolution-induced creep or relaxation, it is necessary to couple a model of the microstructure with the evolving states of stress and strain within the material. Here, we discuss a computationally-implemented model where creep or relaxation of an evolving composite is attributable to dissolution. Special care is taken in tracking the natural configuration of each voxel of the multiphasic material such that newly precipitated phases form in a stress-free state. The new model is utilized to model (1) relaxation of a porous material that has melting ice within its pore network and (2) relaxation due to hydration-induced dissolution within cement paste.
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Notes
- 1.
Apparent strain is defined here, from a continuum mechanics perspective, as strain that exists independent of the state of stress. Unlike other ‘free’ strains (e.g., strain induced by changes in temperature or moisture state of the material), the apparent strain here does not involve a change in the atomic or molecular spacing from the reference configuration. However, from a book-keeping perspective, apparent strain is treated in the same fashion as free strains.
- 2.
This solution procedure for the VE/VP material problem disregards any linear momentum in the body. This approach generates negligible error since the velocity of the time-dependent deformation is extremely slow under the boundary conditions considered.
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Acknowledgments
This research was supported by the National Science Foundation CAREER Award Program under grant number CMMI-0843979. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
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Li, X., Rahman, S., Grasley, Z.C. (2016). Modeling Creep and Relaxation Caused by Phase Dissolution. In: Antoun, B. (eds) Challenges in Mechanics of Time Dependent Materials, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-22443-5_9
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DOI: https://doi.org/10.1007/978-3-319-22443-5_9
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