Abstract
The paper deals with an optimal control numerical treatment of the dynamic inequality problem concerning the elastoplastic-fracturing unilateral contact between neighboring structures during earthquakes. The numerical procedure is based on an incremental problem formulation and on a double discretization, in space by the finite element method and in time by the Houbolt method. It is emphasized that the generally nonconvex constitutive contact laws can be simulated numer ically by using data derived from response records of instrumented civil engineering structures. These interface laws are piece-wise linearized, and in each time-step a nonconvex linear complementarity problem is solved with a reduced number of unknowns, Finally, the method is applied to a civil engineering example of adjacent frames.
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