Abstract

An essential prerequisite for the efficient biomechanical tailoring of crops is to accurately relate mechanical behavior to compositional and morphological properties across different length scales. In this article, we develop a multiscale approach to predict macroscale stiffness and strength properties of crop stem materials from their hierarchical microstructure. We first discuss the experimental multiscale characterization based on microimaging (micro-CT, light microscopy, transmission electron microscopy) and chemical analysis, with a particular focus on oat stems. We then derive in detail a general micromechanics-based model of macroscale stiffness and strength. We specify our model for oats and validate it against a series of bending experiments that we conducted with oat stem samples. In the context of biomechanical tailoring, we demonstrate that our model can predict the effects of genetic modifications of microscale composition and morphology on macroscale mechanical properties of thale cress that is available in the literature.

Highlights

  • Recent advances in genomics have paved the way for biomechanical tailoring of crops (Brulé et al 2016)

  • We first validate our micromechanics-based model against four-point bending tests that we performed on oat stems

  • We illustrate the potential of our model for simulating and understanding the biomechanical tailoring of crop stems

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Summary

Introduction

Recent advances in genomics have paved the way for biomechanical tailoring of crops (Brulé et al 2016). In contrast to our work on bamboo that focused on functionally graded type materials, we focus here on the configuration of an inner layer of foamlike parenchyma cells surrounded by a dense outer shell, which is typical for crop stems (Gibson et al 1995). This morphology brings along specific challenges for deriving microstructure–property relationships, which we describe and suggest solutions for. For the example of oat, we experimentally profile the compositional and morphological properties across the hierarchical levels in the crop stem material, using microimaging technologies such as micro-CT, light microscopy, and transmission electron microscopy along with chemical composition analysis at the relevant scale.

Multiscale characterization of oat stem material
Node morphology through micro‐CT images
Cross‐section through light microscopy images
Functional regions through transmission electron microscopy images
Chemical composition of the oat stem
Multiscale modeling of stiffness and strength of crop stem material
Basic concepts and assumptions
Eshelby’s analytical solution‐based elastic homogenization
Estimate of homogenized elastic limit strength
From hierarchical representation to multistep micromechanics modeling
Microstructure–stiffness relationship in the elastic range
Cell wall materials
Parenchyma region
Sclerenchyma fibers and vascular bundles
Soft‐pith and outer‐shell materials
Upscaling elastic limit strength in crop stem material
Elastic limit of the soft‐pith material
The elastic limit of the outer‐shell region
Results and discussion
Model validation against four‐point bending experiments with oat stems
Model comparison with isotropic flexural constants
Predicting and explaining the mechanical behavior of crop mutants
Primary cell wall mutants
Secondary cell wall mutants
Functional region mutants
Cascade continuum micromechanics model
Four‐point bending test results for oat specimens

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