this paper deals with the basic notions of k-tautimmersions . these notions come from two special cases; that is, tight and taut immersions. tight and taut based on high and distance functions respectively and their basic notions are normal bundle, endpoint map, focal point, critical normal. we generalize hight and distance functions to cylindrical function and define basic notions of k-taut im...

The Lattice Boltzmann Method (LBM), e.g. in [3] and [4], can be interpreted as an alternative method for the numerical solution of partial differential equations. LBM is usually applied to solve fluid flows. However, interpretation a general tool, allows extend solid mechanics well. In this spirit, has been studied recent years. First publications [5], [6] present scheme dynamic behavior linear...

According to the Eshelby conjecture, an ellipse or ellipsoid is only shape that induces interior uniform strain under a far-field loading. We extend conjecture domains of general for anti-plane elasticity. Specifically, we show each positive integer N , inclusion polynomial loading degree if and exterior conformal map Laurent series . Furthermore, isotropic case, characterize by using first-deg...

We consider the anti-plane shear waves in a domain consisting of an infinite layer with thin coating lying on elastic half-space. The properties coating, layer, and half-space are assumed to be different. On free upper surface we assume compatibility condition within Gurtin–Murdoch elasticity, whereas at plane interface perfect contact. For this problem there exist two possible regimes related ...

This paper deals with the basic notions of k-tautimmersions . These notions come from two special cases; that is, tight and taut immersions. Tight and taut based on high and distance functions respectively and their basic notions are normal bundle, endpoint map, focal point, critical normal. We generalize hight and distance functions to cylindrical function and define basic notions of k-taut ...