A surface with stress, extensional elasticity, and bending stiffness
Related Experiment Video
Updated: Jan 26, 2026

Measuring the Bending Stiffness of Bacterial Cells Using an Optical Trap
Published on: April 26, 2010
Nicole Lapinski1, Zezhou Liu, Shu Yang
1Department of Chemical and Biomolecular Engineering, Lehigh University, Bethlehem, PA 18017, USA. anj6@lehigh.edu.
Abstract:
We demonstrate that the surface of a commonly used polydimethylsiloxane formulation (PDMS, Sylgard 184) treated by ultraviolet ozonolysis (UVO) has significant surface stress, considerable extensional elasticity (the "Shuttleworth Effect"), and surface bending elasticity. For soft solids, phenomena such as wetting, contact, surface flattening, and stiffening by liquid inclusions are often governed by their surface, which is usually represented by a liquid-like constant surface stress. Whether the surfaces of soft solids can have more complex constitutive response is actively debated. We studied the deformation of three surface-patterned materials systems: untreated polydimethylsiloxane (PDMS), an organogel, and patterned PDMS with surface treatment by UVO. The last of these three, we found, has complex surface elasticity. This is analogous to the situation for liquids in which the presence of a second phase at the interface yields Gibbs elasticity. Our finding is of broad applicability because in soft solids the behavior of the surface can often dominate bulk deformation.
Related Concept Videos
Residual Stresses in Bending
Bending of Curved Members - Neutral Surface
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...
Elastic Strain Energy for Normal Stresses
If...
Elastic Strain Energy for Shearing Stresses
Bending
In pure bending, the bending stress in a beam is calculated based on the bending moment and...
Elasticity
The elasticity of an object can be described by a stress-strain curve, which represents the relationship between stress...

