TY - JOUR
T1 - Simple model of splitting instability in swollen membranes
AU - Sakaguchi, Hidetsugu
AU - Maeyama, Satomi
PY - 2014/2/15
Y1 - 2014/2/15
N2 - A simple one-dimensional mechanical model is proposed for splitting instability in swollen membranes. The splitting instability occurs by ring constriction. The bifurcation can be both subcritical and supercritical, depending on the slenderness of spheroidal membranes. The lower critical point is estimated theoretically for the simplest circular system. Necking instability occurs in a spheroidal membrane when the twist angle in the boundary conditions is increased.
AB - A simple one-dimensional mechanical model is proposed for splitting instability in swollen membranes. The splitting instability occurs by ring constriction. The bifurcation can be both subcritical and supercritical, depending on the slenderness of spheroidal membranes. The lower critical point is estimated theoretically for the simplest circular system. Necking instability occurs in a spheroidal membrane when the twist angle in the boundary conditions is increased.
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U2 - 10.7566/JPSJ.83.024603
DO - 10.7566/JPSJ.83.024603
M3 - Article
AN - SCOPUS:84894208584
SN - 0031-9015
VL - 83
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 2
M1 - 024603
ER -