Abstract
The two-constituent theory of Hall and Rajagopal (2011) is recast for N constituents based on the composite Helmholtz energy and elaborated to display the higher-gradient nature of the interactive forces between constituents. These body forces are essential in the descriptions of the intracell behaviors included in the force balances of each constituent. The model may be both applied to solid composites, e.g. for interrogating the damage and failure processes developed at the constituent level, as well as to diffusion-reaction processes involving e.g. fluids and solids. Applications of interest include the evolution of asymmetric material features potentially involving finite-dimensional growth and recession (oxidation of SiC results in a 2.2x local volume increase), leading to local rotations important to the description of failure, and the description of forces between constituents especially near free edges and cut-outs.
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Acknowledgments
The author thanks H. Gajendran, M. Anguiano Chavez, A. Masud, and K. R. Rajagopal for fruitful interactions and computational implementations.
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Hall, R.B. (2017). A Theory of Coupled Anisothermal Chemomechanical Degradation for Finitely-Deforming Composite Materials with Higher-Gradient Interactive Forces. In: Antoun, B., et al. Challenges in Mechanics of Time Dependent Materials, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-41543-7_13
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DOI: https://doi.org/10.1007/978-3-319-41543-7_13
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