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Extraction of Plant-based Capsules for Microencapsulation Applications

Extraction of Plant-based Capsules for Microencapsulation Applications

Published on: November 9, 2016

Buckling of spherical capsules.

Sebastian Knoche¹, Jan Kierfeld

¹Department of Physics, Technische Universität Dortmund, D-44221 Dortmund, Germany. sebastian.knoche@tu-dortmund.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|December 21, 2011

Summary

Soft elastic capsules buckle under negative pressure or reduced volume. Numerical analysis reveals buckled shapes are energetically favorable earlier than classical theory predicts, offering new methods for determining elastic moduli.

Area of Science:

Continuum Mechanics
Materials Science
Biophysics

Background:

Soft elastic capsules are prevalent in biological systems and engineered materials.
Understanding their mechanical behavior, particularly buckling, is crucial for predicting stability and function.
Classical buckling instability theories often provide limited insights into complex deformation modes.

Purpose of the Study:

To investigate the buckling behavior of soft elastic capsules under negative pressure and reduced volume.
To derive and numerically solve shape equations based on nonlinear shell theory and hyperelasticity.
To determine the energetically preferred stable configurations and compare them with classical predictions.

Main Methods:

Nonlinear shell theory applied to axisymmetric, initially spherical capsules.

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Numerical solution of derived shape equations.

Application of a least-energy principle for prescribed volume and pressure.

Analysis of bifurcation behavior using bifurcation diagrams.

Main Results:

A rich bifurcation behavior was observed, with distinct sequences of stable shapes under prescribed volume versus prescribed pressure.
Buckled shapes were found to be energetically favorable at lower negative pressures and larger critical volumes than predicted by classical instability.
A relationship between curvatures at the indentation rim and the bending modulus was identified in the buckled state.

Conclusions:

The study provides a comprehensive picture of capsule buckling, from initial deformation to full collapse, accounting for self-intersection.
Energetically favorable buckled states emerge earlier than predicted by classical buckling theory.
The identified curvature-modulus relationship offers a novel experimental method for determining the elastic moduli of soft capsule membranes.