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    Description

    In spite of the significant potential of cellulose nanocrystals as functional nanoparticles for numerous applications, a fundamental understanding of the mechanical properties of defect-free, crystalline cellulose is still lacking. In this paper, the elasticity matrix for cellulose Iß with hydrogen bonding network A was calculated using ab initio density functional theory with a semi-empirical correction for van der Waals interactions. The computed Young’s modulus is found to be 206 GPa along [001] (c-axis), 98 GPa along [010] (b-axis), and 19 GPa along [100] (a-axis). Full compliance matrices are reported for 1.0, 1.5 and 2.0 % applied strains Color contour surfaces that show variations of the Young’s modulus and average Poisson’s ratio with crystallographic direction revealed the extreme anisotropies of these important mechanical properties. The sensitivity of the elastic parameters to misalignments in the crystal were examined with 2D polar plots within selected planes containing specific bonding characteristics; these are used to explain the substantial variability in the reported experimental Young’s moduli values. Results for the lattice directions [001], [010] and [100] are within the range of reported experimental and other numerical values.

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    Citation

    Dri, Fernando L.; Hector, Louis G. Jr.; Moon, Robert J.; Zavattieri, Pablo D. 2013. Anisotropy of the elastic properties of crystalline cellulose Iß from first principles density functional theory with Van der Waals interactions. Cellulose, Volume 20, 2013; pp. 2703-2718.

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    Keywords

    Crystalline cellulose, cellulose Iß, density functional theory, young's modulus

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https://www.fs.usda.gov/treesearch/pubs/45299