Secondly, the configuration obtained here is naturally characterised by a finite length scale associated with the resolution of fabrication. Firstly, smooth connectivity within graded microstructures is automatically guaranteed. The present framework also exhibits interesting features in several other aspects. Upon linearisation, the computational cost associated with the proposed formulation is found to be as low as that in existing asymptotic-analysis-based homogenisation approaches, where only spatially periodic microstructures are considered. For a given graded microstructure, the stress field and overall compliance computed by the proposed method are shown, both theoretically and numerically, to be consistent with the underlying fine-scale results. With the introduction of a mapping function which transforms an infill graded microstructure to a spatially-periodic configuration, the originally complicated cross-scale problem can be asymptotically decoupled into a macroscale problem within a homogenised media and a microscale problem within a representative unit cell.
With the use of asymptotic analysis, we propose in this article a homogenisation framework to underpin the fast design of devices filled with quasi-periodic microstructures. Here we have tried not only to analyse the present state but also to present some new proposals that would, in accordance with the message of the Gospel, essentially contribute to the advancement of pastoral work and pastoral offer in contemporary towns.Graded microstructures have demonstrated their values in various engineering fields, and their production becomes increasingly feasible with the development of modern fabrication techniques, such as additive manufacturing. However, it often happens that, in that interest in the religious, people often resort to various new spiritual movements, and it seems that Christianity somehow loses its place and role. In the earlier phase of urbanization a significant detachment from the religious occurred, while in recent time we are witnesses of a powerful return of interest in religion and spirituality in towns. Modern ways of communication, mobility, general accessibility to all pieces of information, have resulted in the formation of a specific system of values and views on the world and society.
Namely, the lifestyle, circumstances, problems and possibilities in a contemporary town are essentially different than those in the past times, especially in comparison with the village. In the second part we have set out certain suggestions for the pastoral work adequate for our time and place. In this work we have first tried to determine the specifics of town lifestyle now and here.
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