Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Prof. Weimin Han, Department of Mathematics, University of Iowa, USA
Variational and Hemivariational Inequalities in Mechanics
Time & Venue:
2018.7.12 16:00-17:00 N820
Inequality problems in mechanics can be divided into two main categories:that of variational inequalities which is concerned with nonsmooth and convex functionals (potentials), and that of hemivariational inequalities which is concerned with nonsmooth and nonconvex functionals (superpotentials). Mathematical studies of variational inequalities started in the sixties, whereas that of hemivariational inequalities are more recent. Through the formulation of hemivariational inequalities, problems involving nonmonotone, nonsmooth and multivalued constitutive laws, forces, and boundary conditions can be treated successfully. In this talk, sample variational and hemivariational inequalities in contact mechanics are introducedand studied. The focus will be on recent and new results on the numerical solution of hemivariational inequalities. Numerical examples will be reported to illustrate the numerical evidence of the theoretically predicted optimal convergence orders.
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