Papers by Author: Wiktoria Miszuris

Abstract: The plane strain compression of a long symmetric strip consisted of a three layer material between rigid, parallel, rough plates is under consideration. Two possible geometrical configurations of the layers are examined (a) a viscoplastic material is situated between two layers consisting of a rigid/perfectly plastic material, (b) a rigid/perfectly plastic material lies between two viscoplastic layers. It is assumed throughout the paper that the viscoplastic law is bounded in that sense that it reaches its critical value (saturation stress) as the strain rate tends to infinity. Exploiting closed form solutions obtained, qualitative differences between them and the known from literature solutions for three layer material structure with classic viscoplastic material are discussed. Asymptotic behaviour of solutions in the vicinity of maximum friction surfaces is analysed for any configuration.

Abstract: Imperfect transmission conditions modelling a thin reactive intermediate layer be- tween two bonded materials in a dissimilar strip are derived in this paper in most general case extending results obtained previously in [1]. The interphase material is assumed to be heat-resistant and situated in a thin rectangular domain between the main materials.

Abstract: Imperfect transmission conditions modelling a thin reactive 2D intermediate layer between two bonded materials in a dissimilar strip have been derived and analytically analysed in another paper of this issue. In this paper, the validity of these transmission conditions for heat conduction problems has been investigated due to the finite element method (FEM) for two formulations of a reactive layer: namely, based on a constant and a temperature-dependent source or sink formulation. It is shown that the accuracy of the transmission conditions is excellent for the investigated examples.

Abstract: Imperfect transmission conditions modelling a thin reactive intermediate layer be- tween two bonded materials in a dissimilar strip are derived in this paper. The interphase material is assumed to be heat-resistant and situated in a thin rectangular domain between the main materials. Different types of the interphase are investigated in detail: constant and temperature dependent sources.

Abstract: Imperfect transmission conditions modelling a thin 2D intermediate layer between two bonded materials in a dissimilar strip have been derived and analytically analysed in another paper of this issue. In this paper, the validity of these transmission conditions for heat conduction problems has been investigated due to the finite element method (FEM) for various cases: namely, steady-state under uniform boundary conditions with constant or functional- dependent, i.e. temperature or spatial coordinate, conductivities of the interphase, non-uniform boundary conditions and finally for transient analysis. It is shown that the accuracy of the transmission conditions is excellent over the whole range of the interphase and that typical edge effects known from structural problems are not observable under the chosen problem parameters.

Abstract: Imperfect transmission conditions modelling a thin intermediate layer between two bonded materials in a dissimilar strip are derived in this paper. The interphase material is assumed to be heat-resistant and situated in a thin rectangular domain between the main materials. Different types of the interphase are investigated: homogeneous and inhomogeneous; linear and nonlinear ones.