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The goal of this paper is to study a mathematical model which describes the quasistatic frictional contact between aviscoplastic body and a foundation. The contact is modeled with normal compliance, unilateral constraint, friction, damage andmemory term, which also includes foundation memory property. We present the classical formulation of the problem and derivevariational-hemivariational formulation. Finally we provide a unique weak solution of the problem. [ABSTRACT FROM AUTHOR]

This paper discusses the functional, compositional and aesthetic role of urban canopies in the residential areas of Arab cities. Residential areas are understood across three problem scales: those of the district, the plot and the residential building itself. The objective of this study was to identify traditional and contemporary solutions in terms of spatial, functional and formal urban courtyard and canopy design. The study included an analysis of selected cases of various types of architectural and urban solutions present in residential areas with a focus on their accessibility, form of use, and architectural forms, as divided into traditional and contemporary solutions. The analyses resulted in recommendations for contemporary interpretations of urban canopies with the intent to preserve the value of local construction tradition, as well as modern needs linked to the necessity of implementing pro-environmental solutions on the architectural and urban scales. [ABSTRACT FROM AUTHOR]

The paper presents the reconstruction of the vault in the tower of the Basilica of the Assumption of the Blessed Virgin Mary in Gdańsk. The issue was discussed in the context of research on the geometry of Gothic vaults. The research problem was to determine the spatial structure of the vault on the basis of small remnants and in the absence of unambiguous documentation. Historical and bibliographic sources as well as the technical documentation were analyzed. On this basis, several models of virtual vaults with various geometries were developed. Theoretical models were compared with the remnants of the vault (presented in the form of laser scanning documentation) to find the best solution. This allowed to confirm the validity of the approach based on strict reference to traces as opposed to prioritising idealised theoretical models. Moreover, the research on the geometry of Gothic vaults presented in this paper shows the necessity of continuous studies in this field, which may be used in conservation works. [ABSTRACT FROM AUTHOR]