The paper deals with crack propagation through an interface between two elastic materials. The basic idea of developing stability criteria of general singular stress concentrators introduced in the first part is applied to the case of a crack with its tip at the interface between two different materials. Three different stability criteria based on different physical principles are presented and a numerical example with their mutual comparison is carried out. A procedure based on a generalized strain energy density factor is shown which makes it possible to estimate the further direction of crack propagation after the crack has passed the interface. The procedure presented is applied in the numerical examples. and Obsahuje seznam literatury
A graph is called supermagic if it admits a labelling of the edges by pairwise different consecutive positive integers such that the sum of the labels of the edges incident with a vertex is independent of the particular vertex. Some constructions of supermagic labellings of regular graphs are described. Supermagic regular complete multipartite graphs and supermagic cubes are characterized.
This article deals with manuscripts from the library at the Franciscan Convent of Our Lady of Angels in Hradčany. It follows the way the manuscripts were recorded in the existing catalogues for 1675, 1728, 1850 and 1855. The 1850 catalogue preserves a list of manuscripts which indicates that at the time there were 116 manuscripts in the library. When we inspect the catalogue itself we find that the list is not complete and does not record all the manuscripts detailed in the catalogue (with at least fifteen items missing).