Safar, Alexander
2019.
Debonding and stretching of biogenic cellular structures.
PhD Thesis,
Cardiff University.
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Abstract
Plant material can regulate the mechanical properties of its cellular structure by changing: (i) the structure of the cell wall, (ii) the cell core pressure, and (iii) the cell-cell cohesion. The relevant scale at which such phenomena occur, though beyond the capacity of the human eye, can be followed by mechanical analysis and mathematical models based on micro-structural evidence. This thesis focuses on two fundamental mechanical aspects. First, it concerns the mechanism of cell debonding, as this is key in explaining the softening of fruit and legumes during storage or cooking, and is decisive for the perceived quality of food products. Particular attention is given to the mathematical modelling of damage through shear deformation as this has been largely neglected in the literature due to many theoretical and computational difficulties. Second, it provides a multiscale hyperelastic framework which relates the stresses and strains of a whole structure to those at the cell level, and vice versa. Specifically, the non-linear elastic moduli at the macroscopic level are derived systematically from those at the cell level.
Item Type: | Thesis (PhD) |
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Date Type: | Completion |
Status: | Unpublished |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Date of First Compliant Deposit: | 7 April 2020 |
Last Modified: | 06 Jan 2021 02:24 |
URI: | https://orca.cardiff.ac.uk/id/eprint/130870 |
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