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The comprehensive elastic properties of Suvin cotton fibre have been estimated. The Linked Atom Least Square method (LALS) technique has been employed to compute the structural properties using the X-ray diffraction data. Using Treloar’s assumptions the elastic stiffness matrix |Cij| has been calculated, then by utilizing the Voigt theory the elastic constants like Young’s modulus (E), Bulk modulus (K), Shear modulus (G), Poisson’s ratio (ν) and linear compressibility (β) have been estimated. Further, the experimental results of elastic constants are obtained and compared with the computed results and a broad correlation between them has been observed. ELATE web application tool is used to obtain the 3-dimensional images of variation of elastic constants along their spatial axes. From these figures an attempt has been made to explain the anisotropic mechanical property with respect to directional dependent Young’s modulus (E) and Shear modulus properties (G).

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X-ray imaging of crystalline region in cotton fibers were computed which depicts the ordered crystalline regions and Functional Data Analysis has been used to find the correlation between various parameters. Four different varieties of cotton fibers grown in Karnataka state, India were investigated. X-ray powder diffraction data of these fibers were analyzed with inhouse software. X-ray data were corrected for instrumental broadening and Lorentz polarization factors before using it for further analysis. Using Peakfit® program, 20 Bragg reflections were identified and cell parameters were determined by CHECKCELL®, and FWHM of these reflections were used to estimate the crystallite size and strain along [hkl] directions. Using these results and a novel method was employed to compute the ordered 3-deminesional region of the crystallite shapes in these cotton fibers. This technique can be extended to any materials. Correlation between varieties of fibers and each physical parameter like crystallite size, strain, tenacity and staple length have been given employing functional data analysis [1]. Thejas Gopal krishne Urs, Karthik Bharath, Sangappa Yallappa and R Somashekar (2016) "Functional data analysis techniques for the study of structural parameters in polymer composites" J. Appl. Cryst. 49,[594][595][596][597][598][599][600][601][602][603][604][605]