Hemivariational Inequalities

Inequalities.- 7.3 Applications to Engineering Problems: Von Kármán Plates and Thermoelasticity.- 8 Optimal Control and Identification Problems.- 8.1 Formulation of the Problem.- 8.2 Mathematical Study of the Optimal Control Problem Governed by Hemivariational Inequalities.- 8.3 Applications to Engineering Problems.- IV Numerical Applications.- 9 On the Numerical Treatment of Hemivariational Inequalities.- 9.1 The First Numerical Attempts and the Questions of Stability and Uniqueness.- 9.2 The Microspring Approximation Method of the Decreasing Branch.- 9.3 The Method of Decreasing Branch Approximation by Monotone Laws.- 9.4 Application I: Cleavage in Laminated Composites and the Non-monotone Unilateral Contact Problem.- 9.5 Application II: The Nonmonotone Friction Problem and the Combined Unilateral Contact Problem with Nonmonotone Friction.- 10 On the Approximation of Hemivariational Inequalities by Variational Inequalities.- 10.1 General Formulation of the Method.- 10.2 Application III: Nonmonotone Friction Interface Conditions with Debonding.- 10.3 Application IV:Adhesive Joints in Structural Mechanics.- 10.4 Application V: Comparison with the Path Following Method.- 10.5 Application VI: Nonmonotone Stress-Strain Laws. The Sawtooth Behaviour of Composites.- 10.6 Application VII: Shear Connectors in Composite Beams.- 11 The Method of Substationary Point Search.- 11.1 General Formulation of the Method.- 11.2 On the Numerical Implementation of the Algorithm.- 11.3 Application VIII: Delamination and Adhesive Joints in Structural Mechanics.- 11.4 Application IX: Semirigid Connections in Steel Structures.- 12 On a Decomposition Method into Two Convex Problems.- 12.1 General Formulation of the Method.- 12.2 Application X: The Stamp Problem and the Interfacial Debonding in Composites.- 13 Dynamic Hemivariational Inequalities and Crack Problems.- 13.1 Application XI: Numerical Treatment of Dynamic Hemivariational Inequalities.- 13.2 Application XII: The Unilateral Contact and Nonmonotone Friction Problem in Cracks.- 13.3 Application XIII: Fracture of Cracks Repaired by an Adhesive Material.- 14 Applications of the Theory of Hemivariational Inequalities in Robotics.- 14.1 Application XIV: Adhesive Grasping Problem in Robotics.- 14.2 Application XV: On the Optimal Control of the Adhesive Grasping Problem in Robotics.- 15 Addenda: Hemivariational Inequalities, Fractals and Neural Networks.- 15.1 Fractals in Mechanics. An Introduction.- 15.2 Application XVI: Hemivariational Inequalities for Fractal Interfaces.- 15.3 The Neural Network Approach to Hemivariational Inequalities.- 15.4 Application XVII: D.C.B. Specimen Modelling. The Neural Network Approach.- 15.5 Application XVIII: The Inverse Delamination Problem as a Supervised Learning Problem for a Neural Network. Extensions.- References.