Dynamics of poroelastic filaments

Details Dynamics of poroelastic filaments Dynamics of poroelastic filaments

2004-05-11

arxiv.org/abs/cond-mat/0405208v1

Physics

Condensed Matter

Soft Condensed Matter

34 pages, 13 figures, to appear in the Proceeding of the Royal Society

Scientific paper

10.1098/rspa.2003.1270

We investigate the stability and geometrically non-linear dynamics of slender rods made of a linear isotropic poroelastic material. Dimensional reduction leads to the evolution equation for the shape of the poroelastica where, in addition to the usual terms for the bending of an elastic rod, we find a term that arises from fluid-solid interaction. Using the poroelastica equation as a starting point, we consider the load controlled and displacement controlled planar buckling of a slender rod, as well as the closely related instabilities of a rod subject to twisting moments and compression when embedded in an elastic medium. This work has applications to the active and passive mechanics of thin filaments and sheets made from gels, plant organs such as stems, roots and leaves, sponges, cartilage layers and bones.

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