An ideal I on a cardinal κ is called rigid if all automorphisms of P (κ)/I are trivial. An ideal is called μ-minimal if whenever G ⊆ P (κ)/I is generic and X ∈ P (μ)V [G] \ V , it follows that V [X] = V [G]. We prove that the existence of a rigid saturated μ-minimal ideal on μ+, where μ is a regular cardinal, is consistent relative to the existence of large cardinals. The existence of such an i...

The analytical solution for a transversely isotropic linear elastic layer bonded to a rigid foundation and indented by a rigid cylinder or sphere was developed. This solution follows procedures used by others to solve contact problems of linear anisotropic materials. The solution can be used to find the stress distribution and the displacement field in anisotropic layers like articular cartilag...

The paper deals with the shape and/or topology optimization for an elastic body in unilateral contact with a rigid foundation. The contact phenomenon with Tresca friction between the surfaces of the elastic or rigid bodies is described by the elliptic variational inequality. This optimization problem consists in finding such topology of the domain occupied by the body and/or the shape of its bo...

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...

We describe a simple modification to a rigid endoscope so as to provide both high-quality conventional and confocal images of reasonably accessible regions of the body. This versatile system uses a structured illumination approach together with a conventional incoherent illumination source. Images taken in fluorescence are presented using this combined conventional and confocal endoscope.