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(2018.7.12)Prof. Weimin Han:Variational and Hemivariational Inequalities in Mechanics
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Update time: 2018-07-13
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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Weimin Han, Department of Mathematics, University of Iowa, USA

Inviter:  
Title:
Variational and Hemivariational Inequalities in Mechanics
Time & Venue:
2018.7.12 16:00-17:00 N820
Abstract:
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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