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Hooke's law, a pivotal principle in material science, establishes that the strain a material undergoes is directly proportional to the applied stress, defined by a factor called the modulus of elasticity or Young's modulus.
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The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...
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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
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As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
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Size-Dependent Elastic Modulus and Core-Shell Structural Characteristics of Electrospun Nanofibers.

Muhammad Azeem Munawar1,2, Fritjof Nilsson3,4, Dirk W Schubert1,2

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Smaller polycaprolactone (PCL) nanofibers exhibit increased stiffness due to surface and confinement effects. This size-dependent mechanical property can be controlled by adjusting fiber diameter during electrospinning.

Keywords:
electrospinningmechanical strengthnanofiber diameterpolycaprolactone (PCL)size‐dependent elasticity

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Area of Science:

  • Materials Science
  • Nanotechnology
  • Polymer Science

Background:

  • Electrospun nanofibers, such as polycaprolactone (PCL), are utilized in various applications.
  • Understanding the mechanical properties of these nanofibers is crucial for their effective use.
  • Nanoscale mechanical behavior can deviate significantly from bulk properties.

Purpose of the Study:

  • To investigate the relationship between the diameter of electrospun PCL nanofibers and their mechanical properties.
  • To determine the influence of nanoscale geometry and surface effects on fiber stiffness.
  • To evaluate theoretical models for predicting size-dependent mechanical behavior.

Main Methods:

  • Fabrication of polycaprolactone (PCL) nanofibers with varying diameters using electrospinning.
  • Experimental measurement of Young's modulus as a function of fiber diameter.
  • Application and comparison of two theoretical models (core-shell and extended surface mechanics models) to experimental data.

Main Results:

  • A clear inverse relationship was observed: decreasing fiber diameter led to a significant increase in Young's modulus.
  • Surface and confinement effects were identified as key factors contributing to enhanced stiffness in thinner fibers.
  • Both theoretical models provided good fits to the experimental data, with the extended model showing improved accuracy at intermediate diameters.

Conclusions:

  • The mechanical stiffness of electrospun PCL nanofibers is strongly dependent on their diameter.
  • Increased surface-to-volume ratio and molecular packing in thinner fibers enhance their stiffness.
  • Fiber diameter control during electrospinning offers a method to tune the mechanical properties of nanofibers for specific applications.