Ma. Mikulinsky et Ds. Livshits, PREBUCKLING AND POSTBUCKLING BEHAVIOR OF MECHANICAL STRUCTURES IN TERMS OF PHASE-TRANSITIONS, International journal of engineering science, 33(13), 1995, pp. 1987-2000
Pre- and postbuckling behavior of stable-symmetric mechanical structur
es is investigated in close proximity of the buckling point. Two buckl
ing mechanisms are found as analogous to phase transitions: bifurcatio
n of equilibrium is analogous to phase transitions of the second order
, snap through is analogous to the first order phase transition. The a
nalogy is related to the same symmetry changes in buckling and in phas
e transitions at their critical points.