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Surface sulci in squeezed soft solids.

T Tallinen1, J S Biggins, L Mahadevan

  • 1School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.

Physical Review Letters
|February 7, 2013
PubMed
Summary
This summary is machine-generated.

Surface instability in soft solids under compression leads to complex 3D patterns. Numerical modeling reveals how different sulci morphologies, like I-shaped, Y-shaped, and hexagonal networks, emerge based on material compressibility and stress levels.

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Biophysics

Background:

  • Soft solids, biological tissues, and gels can develop significant surface compressive stresses due to external forces or internal processes.
  • High surface stresses can lead to the loss of surface smoothness, a phenomenon known as surface instability.
  • Previous studies primarily focused on 2D plane-strain conditions, which do not fully capture the 3D sulcification patterns observed in experiments.

Purpose of the Study:

  • To numerically model the lateral compression of a clamped elastic layer to understand the emergence of diverse 3D sulcification patterns.
  • To investigate the influence of material compressibility on the resulting surface morphologies.
  • To elucidate the relationship between stress levels and the geometric characteristics of sulci formation.

Main Methods:

  • Numerical modeling of a rigidly clamped elastic layer subjected to lateral compression.
  • Analysis of surface instability under varying degrees of material compressibility.
  • Characterization of sulci morphologies, including shape (I-shaped, Y-shaped) and arrangement (hexagonal).

Main Results:

  • For incompressible solids, sulci initially appear as I-shaped lines and transition to Y-shaped structures forming hexagonal arrangements at higher compressions.
  • Highly compressible solids exhibit a single sulcified phase characterized by a hexagonal sulcus network.
  • The study demonstrates a direct link between compression, material properties, and the resulting complex 3D surface patterns.

Conclusions:

  • The numerical model successfully reproduces the diverse 3D sulcification patterns observed in experiments.
  • Material compressibility is a key factor determining the type and arrangement of sulci formed.
  • This research provides a framework for understanding surface instabilities in soft materials with implications for tissue engineering and materials design.