A Linear Complementarity Approach for the Non-convex Seismic Frictional Interaction between Adjacent Structures under Instabilizing Effects* |
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Authors: | A.A. Liolios |
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Affiliation: | (1) Dept. Civil Engineering, Institute of Structural Mechanics and Earthquake Engineering, Democritus University of Thrace, GR-67100 Xanthi, Greece |
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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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Keywords: | Computational contact mechanics Dynamic hemivariational inequalities Earthquake engineering Nonconvex linear complementarity problem |
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