EJPAU, 2005, Volume 8, Issue 4
Civil Engineering

A problem of the theory of elasticity is considered for an elastic layer in frictional contact with an elastic half-space bounded by a plane with an axially symmetric smooth dip. The method of the Hankel integral transforms is used to solve the problem. In this way we obtain a system of dual integral equations such that it can be reduced to a single Fredholm integral equation of the second kind. The numerical results are presented in the form of diagrams for particular cases of the dip. Besides we discuss the variation of the contact parameters depending on the layer thickness.

A photoelastic method was proposed to examine quality of tempered float glass used in the building facade of the ten-store office building. It turned out that strong disturbances in distribution of residual stresses were present in examined glass, facade panels. It can be concluded that these disturbances were the cause of spontaneous breakages of glass panels, which took place in some circumstances. The proposed inspection procedure is cheap and very effective.

The problem of non-linear heat flow in solids at large temperature changes and variable material properties is considered in this paper. The equation of heat conduction has been formulated and then – the equations of the finite elements method in the two versions: non-incremental and incremental have been derived.

The aim of this contribution is to propose a new non-asymptotic 2D-model of non-homogeneous Reissner type elastic plates with one-directional periodic (uniperiodic) structure. This model was obtained by tolerance averaging technique (TAA) describing effect of repetitive cell size l (and at the same time the period-length of in-homogeneity) on the overall plate behaviour. The new feature of the proposed model is the possibility to apply the analysis of plates having thickness of an order of the period-length. So far, the non-asymptotic 2Dmodel of Reissner-type uniperiodic plates was formulated under assumption that the plate thickness is very small compared to the period-length.

Plates resting on a subsoil are often met in constructions of the civil engineering. The main aim of the paper is twofold. Firstly, to propose a new averaged model of medium thickness plates resting on a periodic Winkler’s 3D subsoil, based on the non-asymptotic tolerance averaging technique, cf. Wozniak and Wierzbicki [19]. The main feature of the model is that it describes the effect of period lengths on the overall behaviour of the plate. Secondly, to apply the non-asymptotic model to analyse free vibrations of a plate strip on a periodic subsoil and show that the aforementioned effect plays a crucial role in dynamic problems.

The paper gives a focus on the problem of acoustic waves reflection from a layer of varying density situated between two homogeneous materials. Presented results illustrate the dependence of reflection and transition coefficients on frequency and on the structure of the transition layer.