Title of article :
On the curvature effect of thin membranes
Author/Authors :
Wang، نويسنده , , Duo-tian JIAO، نويسنده , , Xiangmin and Conley، نويسنده , , Rebecca and Glimm، نويسنده , , James، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2013
Abstract :
We investigate the curvature effect of a thin, curved elastic interface that separates two subdomains and exerts a pressure due to a curvature effect. This pressure, which we refer to as interface pressure, is similar to the surface tension in fluid mechanics. It is important in some applications, such as the canopy of parachutes, biological membranes of cells, balloons, airbags, etc., as it partially balances a pressure jump between the two sides of an interface. In this paper, we show that the interface pressure is equal to the trace of the matrix product of the curvature tensor and the Cauchy stress tensor in the tangent plane. We derive the theory for interfaces in both 2-D and 3-D, and present numerical discretizations for computing the quality over triangulated surfaces.
Keywords :
elastic membrane , STRESS , Interface pressure , Curvature effect , Generalized Young–Laplace equation , Numerical discretizations
Journal title :
Journal of Computational Physics
Journal title :
Journal of Computational Physics