  We study the buckling of a one fiber composite whose matrix stiffness is
slightly dependent on the compressive force. We show that the equilibrium
curves of the system exhibit a limit load when the induced stiffness parameter
gets bigger than a threshold. This limit load increases when increasing the
stiffness parameter and is related to a possible localized path in the
post-buckling domain. Such a change in the maximum load may be very desirable
from a structural stand point.
