TY - JOUR
T1 - Effects of scars on icosahedral crystalline shell stability under external pressure
AU - Wan, Duanduan
AU - Bowick, Mark John
AU - Sknepnek, Rastko
PY - 2015/3/19
Y1 - 2015/3/19
N2 - We study how the stability of spherical crystalline shells under external pressure is influenced by the defect structure. In particular, we compare stability for shells with a minimal set of topologically required defects to shells with extended defect arrays (grain boundary "scars" with nonvanishing net disclination charge). We perform both Monte Carlo and conjugate gradient simulations to compare how shells with and without scars deform quasistatically under external hydrostatic pressure. We find that the critical pressure at which shells collapse is lowered for scarred configurations that break icosahedral symmetry and raised for scars that preserve icosahedral symmetry. The particular shapes which arise from breaking of an initial icosahedrally symmetric shell depend on the Föppl-von Kármán number.
AB - We study how the stability of spherical crystalline shells under external pressure is influenced by the defect structure. In particular, we compare stability for shells with a minimal set of topologically required defects to shells with extended defect arrays (grain boundary "scars" with nonvanishing net disclination charge). We perform both Monte Carlo and conjugate gradient simulations to compare how shells with and without scars deform quasistatically under external hydrostatic pressure. We find that the critical pressure at which shells collapse is lowered for scarred configurations that break icosahedral symmetry and raised for scars that preserve icosahedral symmetry. The particular shapes which arise from breaking of an initial icosahedrally symmetric shell depend on the Föppl-von Kármán number.
UR - http://www.scopus.com/inward/record.url?scp=84961309844&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84961309844&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.91.033205
DO - 10.1103/PhysRevE.91.033205
M3 - Article
C2 - 25871236
AN - SCOPUS:84961309844
VL - 91
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 3
M1 - 033205
ER -