Type

Journal Article

Authors

G Saccomandi
D A Prikazchikov
M D Gilchrist
M Destrade

Subjects

Biochemistry

Topics
elastic modulus models biological physiology computer simulation hardness connective tissue surface properties anisotropy stress mechanical

Surface instability of sheared soft tissues. (2008)

Abstract When a block made of an elastomer is subjected to a large shear, its surface remains flat. When a block of biological soft tissue is subjected to a large shear, it is likely that its surface in the plane of shear will buckle (appearance of wrinkles). One factor that distinguishes soft tissues from rubberlike solids is the presence--sometimes visible to the naked eye--of oriented collagen fiber bundles, which are stiffer than the elastin matrix into which they are embedded but are nonetheless flexible and extensible. Here we show that the simplest model of isotropic nonlinear elasticity, namely, the incompressible neo-Hookean model, suffers surface instability in shear only at tremendous amounts of shear, i.e., above 3.09, which corresponds to a 72 deg angle of shear. Next we incorporate a family of parallel fibers in the model and show that the resulting solid can be either reinforced or strongly weakened with respect to surface instability, depending on the angle between the fibers and the direction of shear and depending on the ratio Emu between the stiffness of the fibers and that of the matrix. For this ratio we use values compatible with experimental data on soft tissues. Broadly speaking, we find that the surface becomes rapidly unstable when the shear takes place "against" the fibers and that as E/mu increases, so does the sector of angles where early instability is expected to occur.
Collections Ireland -> University College Dublin -> PubMed

Full list of authors on original publication

G Saccomandi, D A Prikazchikov, M D Gilchrist, M Destrade

Experts in our system

1
Giuseppe Saccomandi
University College Dublin
Total Publications: 4
 
2
M. D. Gilchrist
University College Dublin
Total Publications: 172
 
3
Michel Destrade
National University of Ireland Galway
Total Publications: 106