Elastic rods with incompatible strain: Macroscopic versus microscopic buckling

摘要: Abstract We consider the buckling of a long prismatic elastic solid under combined effect pre-stress that is inhomogeneous in cross-section, and prescribed displacement its endpoints. A linear bifurcation analysis carried out using different structural models (namely double beam, rectangular thin plate, hyper-elastic 3-d): it yields mode wavenumber qc are first encountered when end-to-end progressively decreased with fixed pre-stress. For all three models, we find transition from long-wavelength ( q c = 0 ) to short-wavelength (qc ≠ 0) increased past critical value. method for calculating proposed based on small-wavenumber expansion mode. Overall, our findings explain formation multiple perversions elastomer strips, as well large variations number function cross-sectional geometry, reported by Liu et al. (2014).