Author:
BARTHÈS-BIESEL DOMINIQUE,DIAZ ANNA,DHENIN EMMANUELLE
Abstract
Three constitutive laws (Skalak et al.'s law extended to area-compressible interfaces,
Hooke's law and the Mooney–Rivlin law) commonly used to describe the mechanics
of thin membranes are presented and compared. A small-deformation analysis of
the tension–deformation relation for uniaxial extension and for isotropic dilatation
allows us to establish a correspondence between the individual material parameters
of the laws. A large-deformation analysis indicates that the Mooney–Rivlin law is
strain softening, whereas the Skalak et al. law is strain hardening for any value of
the membrane dilatation modulus. The large deformation of a capsule suspended in
hyperbolic pure straining flow is then computed for several membrane constitutive
laws. A capsule with a Mooney–Rivlin membrane bursts through the process of
continuous elongation, whereas a capsule with a Skalak et al. membrane always
reaches a steady state in the range of parameters considered. The small-deformation
analysis of a spherical capsule embedded in a linear shear flow is modified to account
for the effect of the membrane dilatation modulus.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
235 articles.
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