W. Achtziger et Mp. Bendsoe, DESIGN FOR MAXIMAL FLEXIBILITY AS A SIMPLE COMPUTATIONAL MODEL OF DAMAGE, Structural optimization, 10(3-4), 1995, pp. 258-268
We consider a simple model of damage, where damage is interpreted as t
he removal of material from a given truss structure. Occuring damage i
n a given scenario is modelled by a damage contribution which maximize
s compliance. Assuming linear elasticity this leads to an optimization
problem formulated in displacements and a set of variables which desc
ribe the damaged material of each bar in the truss. A sequence of such
problems models damage as a time-dependent process, i.e. damage evolu
tion is considered. A simple ad-hoc-method for the resulting nonconvex
problems can be interpreted as a descent algorithm of feasible direct
ions which reaches a local optimum in a finite number of steps. Some n
umerical examples show the use of the algorithm.