Evaluation of stress concentration in multi-wedge systems with functionally graded wedges

Industry 4.0. Part II.Conditions in the area of production technology and architecture of IT system in processing of polymer materials

“…Opracowany system informatyczny jest następnie wdrażany i optymalizowany, a w wypadku konieczności wprowadzenia zmian -modernizowany. Należy zaznaczyć, że obydwa obszary (Industry i IT) są traktowane jako oddzielne systemy, funkcjonujące w architekturze zbliżonej do modelu klient-serwer [12][13][14][15]. Ich rozbudowa oraz modernizacja odbywa się często niezależnie, bez szczegółowej analizy zachodzących między nimi korelacji.…”

The stress singularity order in a composite wedge of functionally graded materials under antiplane deformation

“…In this article, the special cases, where the shear modulus changes according to one of the following laws [7,14,16] will be consider: the liniar law…”

“…In works [14,19] the stresses singularity order in a multi-wedge system, whose elastic characteristics of elements are related by a functional dependence ( Fig. 2a) is investigated.…”

“…This is due to the fact that the use of analytical approaches (complex potentials or Mellin transform) [4,7,11,12] leads to the need of solving a system of equations of order 2n for antiplane problem and 4n for a plane one. And the numerical methods [14,15] require serious improvements, especially in the study of systems containing elements with small opening angles. This may explain the fact that there currently are no detailed studies of the behavior of the stress field singularity around the vertex of a multi-wedge system in the case when the number of its elements will increase (and the size of their opening angles will decrease, respectively) while maintaining the original geometry of the system.…”

“…There the influence of elastic characteristics of external wedges on the order of singularity is also investigated. However, despite the sufficient number of works involved in the mentioned problems (reviews [6,14,16]), the question of the influence of the characteristics variation laws on the description of the stress state in the vicinity of the corresponding "singular" points remains open. It should also be noted that the special form of expressions for the displacements and stresses fields in materials with angular gradients creates additional difficulties when formulating the conditions of contact with an isotropic material.…”