the impact resistance of new lightweight panel is studied. this panel consists of two thin metal layers bonded together by intermediate fiber/epoxy layers (mcm-sheets). to simulate a behavior of this kind of impact problem, explicit and implicit finite element software abaqus is used. in order to validate the finite element modeling, these results have been compared with experimental test resul...

We extend the theory of Vassiliev (or finite type) invariants for knots to knotoids using two different approaches. Firstly, we take closures on obtain and use knots, proving that these are knotoid isotopy invariant. Secondly, define type directly knotoids, by extending singular via skein relation. Then, spherical show there non-trivial type-1 invariants, in contrast with classical knot where v...