in this work, we study a unilateral contact problem with non local friction of coulombbetween a locking material and a rigid foundation. in the first step , we present the mathematicalmodel for a static process, we establish the variational formulation in the form of a variationalinequality and we prove the existence and uniqueness of the solution. in the second step, usingthe penalty method we...

In this paper we consider classical and variational of fracture dynamic problems with taking into account a contact interaction of the crack edges. An algorithm for the solution of the elastodynamic contact problem with unilateral constrain has been developed. It arises from the boundary variational principle of elastodynamics for bodies with cracks and unilateral constrains on their sides. Som...

THE problem of uniocular catcaract witlh good visual acuity in the other eye is an old, but by no means a solved, problem. The established views still upheld by many oplhthalmologists, that such a cataract is best left alone, is based on the observation that the optical correction of unilateral aphakia is not satisfactory, a-s diplopia and general discomfort are exl)erienced. Furthermilore, the...

The size of the retinal image in the corrected aphakic eye is some 24% larger than the image before removal of the crystalline Len's. This large differential makes binocular vision impossible in individuals with unilateral aphakia corrected by spectacle lenses. A similar calculation, but with a contact lens correction, reduces this figure to about 8% (Dawson, 1962) . Theoretically, intraocular ...

Mathematical statement of elastodynamic contact problem for cracked body with considering unilateral restrictions and friction of the crack faces is done in classical and weak forms. Different variational formulations of unilateral contact problems with friction based on boundary variational principle are considered. Nonsmooth optimization algorithms of Udzawa’s type for solution of unilateral ...