Small-slope elastic membrane energy

For a nearly flat membrane represented by height

h (x)

, the quadratic bending-and-tension energy per invariant transverse length is

E = \frac{1}{2} \int (k_{c} h_{xx}^{2} + σ h_{x}^{2}) d x .

Its free equilibrium equation is

k_{c} h_{xxxx} - σ h_{xx} = 0

.

Table of contents
- Dimensionless adhesion strength Small-slope elastic membrane energy
- Membrane-mediated interaction potential Small-slope elastic membrane energy

Dimensionless adhesion strength ( $U = R^{2} U / k_{c}$ )

For a membrane of bending modulus

k_{c}

adhering with energy per area

U

to a cylinder of radius

R

,

U = R^{2} U / k_{c}

compares adhesion with bending cost.

Membrane-mediated interaction potential ( $V (L)$ )

A membrane-mediated interaction potential is the separation-dependent energy produced when deformation fields around two membrane-bound objects overlap. Its sign and range depend on membrane tension, bending stiffness, inclusion geometry, and which side of the membrane each object occupies.

 Ancestors (6)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version