<DOC>
<DOCNO>
744
</DOCNO>
<TITLE>
lower buckling load in the non-linear buckling theory
of thin shells .
</TITLE>
<AUTHOR>
tsien,h.s.
</AUTHOR>
<BIBLIO>
q. app. math. 5, 1947, 236.
</BIBLIO>
<TEXT>
  for thin shells the relation between
the load p and the deflection beyond the
classical buckling load is very often
non-linear .  for instance, when a uniform thin
circular cylinder is loaded in the axial
direction, the load p when plotted against the
end-shortening has the characteristic
shown in fig. 1 .  if the strain energy s and the
total potential are calculated,
their behavior can be represented by the
curves shown in figs. 2 and 3 .  it can be
demonstrated that the branches oc and ab
corresponds to stable equilibrium configurations
and the branch bc to unstable equilibrium
configurations .  the point b is then
the point of transition from stable to unstable
equilibrium configurations .
</TEXT>
</DOC>
