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Shape transitions in soft spheres regulated by elasticity.

Craig Fogle1, Amy C Rowat2, Alex J Levine3

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Soft spherical structures buckle and wrinkle when their surface area increases beyond a critical point. This elasticity-driven transition forms complex, lower-symmetry shapes, relevant to various natural and synthetic materials.

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Area of Science:

  • Soft matter physics
  • Materials science
  • Mechanical engineering

Background:

  • Spherical core-shell structures exhibit complex behaviors under elastic stress.
  • Understanding morphological transitions is key to predicting material properties.

Purpose of the Study:

  • To investigate elasticity-driven morphological transitions in soft spherical core-shell structures.
  • To identify the critical conditions leading to buckling and wrinkling.
  • To analyze the resulting wrinkled structures and their dependence on material properties.

Main Methods:

  • Theoretical modeling of elastic continuum core and bending-dominated shell.
  • Analysis of surface area increase for fixed core volume.
  • Characterization of buckling instability and spherical harmonic deformations.

Main Results:

  • A critical excess surface area triggers instability in the isotropic sphere.
  • The sphere buckles into a lower-symmetry wrinkled structure.
  • Dependence of the buckled shape and critical area on elastic parameters and system size was studied.

Conclusions:

  • The study provides a theoretical framework for elasticity-driven morphological transitions in soft core-shell structures.
  • Results are relevant to experimental observations in gel-filled vesicles and other natural phenomena.
  • The findings have potential applications in diverse fields, from food science to cell biology.