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A Linear Complementarity Approach for the Non-convex Seismic Frictional Interaction between Adjacent Structures under Instabilizing Effects*

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Abstract

The paper deals with a numerical treatment of the dynamic hemivariational inequality problem concerning the elastoplastic-fracturing unilateral contact with friction between neighboring structures under second-order geometric effects 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. The generally nonconvex constitutive contact laws are piece-wise linearized, and in each time-step a nonconvex linear complementarity problem is solved with a reduced number of unknowns.

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Authors and Affiliations

  1. Dept. Civil Engineering, Institute of Structural Mechanics and Earthquake Engineering, Democritus University of Thrace, GR-67100, Xanthi, Greece

    A.A. Liolios

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  1. A.A. Liolios
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Liolios, A. A Linear Complementarity Approach for the Non-convex Seismic Frictional Interaction between Adjacent Structures under Instabilizing Effects*. Journal of Global Optimization 17, 259–266 (2000). https://doi.org/10.1023/A:1026789817828

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