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Higher-Order Gradient Continuum Analysis of Elastic Fibre-Reinforced Solid Subjected to Flexural and Tensile Loads

  • Author / Creator
    Seyed Bolouri, Seyed Ehsan
  • Composite is a multiphase material that is artificially made, as opposed to one
    that occurs or forms naturally. Many composite materials are composed of just
    two phases; one is termed the matrix, which is continuous and surrounds the
    other phase, often called the dispersed phase. Composites have endless applications
    in industries such as biomedical, automotive, and aerospace products.
    The most distinctive characteristic that made them popular among corporations
    and factories is that they can be designed to achieve the desired properties.
    It is worth mentioning that the main objective of obtaining the optimal
    design by various types of analysis and simulations is avoiding failure and damages
    subjected to the load and prevent indemnification and outrageous costs
    in industries.
    Continuum mechanics is a universal tool that gained so much attention
    during recent years due to its ability to formulate mechanical responses of
    composites. It would eventually lead to a comprehensive analysis of matrix
    material subject to mechanical loads. In this thesis, a continuum-based model
    has been developed to predict the behavior of composite material subject to
    flexural and bias extension loads. Equilibrium equation has been augmented
    with the concept of incompressibility to start elastic solids analysis. Non-linear
    formulations, accounting by the second, and third-order gradient methods integrated
    by principles of virtual work and refined energy density function have
    been derived analytically. Numerical approaches such as linearization and finite
    element analysis consisting of higher-order Gateaux derivatives along the
    ii
    fiber direction have been taken into account to solve the ordinary and partial
    differential equations.
    The FEniCS project open-source finite element package is used to solve the
    corresponding systems of partial differential equations. Remarkably, The numerical
    results, such as deformation profiles and shear strain contours, demonstrate
    a reasonable agreement with the experimental results.

  • Subjects / Keywords
  • Graduation date
    Fall 2020
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/r3-9ncq-xm60
  • License
    Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.