This paper describes a new solution procedure, the local arc-length me
thod, for structures with strain-softening materials, which is a devel
opment of the arc-length method. The new procedure is based on the use
of a constraint equation which uses displacement parameters associate
d with the localized failure zone in such structures. Numerical exampl
es show that this new procedure is more reliable than current versions
of the arc-length method. (C) 1997 Civil-Comp Ltd and Elsevier Scienc
e Ltd.