Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate : An asymptotic modeling approach

• The problem of contact deformation of an elastic body loaded by gravitational forces and laying on several small rigid supports is considered in the framework of the linear theory of elasticity. Using the method of matched asymptotic expansions, the limit asymptotic model for determining the support reactions and the kinematic parameters of the body settling is derived. The effect of the body surface reinforcement is discussed. The case of a uniform (symmetric) settling is considered in detail.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Annan elektroteknik och elektronik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Other Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

Asymptotic model

Biological metamaterial

Gravitational settling

Multiple contacts

Nanostructured substrate

Unilateral contact

Aspect ratio

Gravitation

Metamaterials

Nanostructured materials

Asymptotic modeling

Contact deformation

Elastic body

Gravitational settlings

High aspect ratio

Modeling approach

Nanostructured substrates

Elasticity

Publication and Content Type

ref (subject category)

art (subject category)