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

  • hyper-elastic composites
  • Third-gradient continua

• Graduation date

  Fall 2020

• Type of Item

  Thesis

• Degree

  Master of Science

• DOI

  https://doi.org/10.7939/r3-9ncq-xm60

• License

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