TY - JOUR
T1 - Spatial chaos as a governing factor for imperfection sensitivity in shell buckling
AU - Groh, Rainer
AU - Pirrera, Alberto
PY - 2019/9/6
Y1 - 2019/9/6
N2 - Shell buckling is known for its extreme sensitivity to initial imperfections. It is generally understood that this sensitivity is caused by subcritical (unstable) buckling, whereby initial geometric imperfections rapidly erode the idealised buckling load of the perfect shell. However, it is less appreciated that subcriticality also creates a strong proclivity for spatially localised buckling modes. The spatial multiplicity of localisations implies a large set of possible trajectories to instability—also known as spatial chaos—with each trajectory affine to a particular imperfection. Using a toy model, namely a link system on a softening elastic foundation, we show that spatial chaos leads to a large spread in buckling loads even for seemingly indistinguishable random imperfections of equal amplitude. By imposing a dominant imperfection, the strong sensitivity to random imperfections is ameliorated. The ability to control the equilibrium trajectory to buckling via dominant imperfections or elastic tailoring creates interesting possibilities for designing imperfection-insensitive shells
AB - Shell buckling is known for its extreme sensitivity to initial imperfections. It is generally understood that this sensitivity is caused by subcritical (unstable) buckling, whereby initial geometric imperfections rapidly erode the idealised buckling load of the perfect shell. However, it is less appreciated that subcriticality also creates a strong proclivity for spatially localised buckling modes. The spatial multiplicity of localisations implies a large set of possible trajectories to instability—also known as spatial chaos—with each trajectory affine to a particular imperfection. Using a toy model, namely a link system on a softening elastic foundation, we show that spatial chaos leads to a large spread in buckling loads even for seemingly indistinguishable random imperfections of equal amplitude. By imposing a dominant imperfection, the strong sensitivity to random imperfections is ameliorated. The ability to control the equilibrium trajectory to buckling via dominant imperfections or elastic tailoring creates interesting possibilities for designing imperfection-insensitive shells
KW - localisation
KW - buckling
KW - instability
KW - nonlinearity
KW - shells
UR - http://www.scopus.com/inward/record.url?scp=85072652613&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.100.032205
DO - 10.1103/PhysRevE.100.032205
M3 - Article
VL - 100
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 3
M1 - 032205
ER -