Modeling of the Ordered Surface Topography of Statically Deformed Aluminum Alloy
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MODELING OF THE ORDERED SURFACE TOPOGRAPHY OF STATICALLY DEFORMED ALUMINUM ALLOY I. V. Lytvynenko,1 P. O. Maruschak,1, 2 S. A. Lupenko,1 and P. V. Popovych1
UDC 621.77
We propose an approach to modeling the ordered surface topography of D16chT aluminum alloy after static deformation. This approach enables us to establish statistic estimates of the parameters of formed surface irregularities with regard for the stochastic and cyclic nature of their self-organization. Keywords: model, cyclic random process, self-organized structure, deformation.
It is known that the operation of aluminum alloys used in the civil and military aviation for the design of fatigue sensors is accompanied by the formation of a certain surface topography [1]. Actually, the structure of the surface shear deformation serves as an information characteristic of the state of an object of diagnostic control. The necessity of estimation of the processes of self-organization of the surface defects and localized deformation structures led to the creation of the models of these physical phenomena [1–3]. However, in this case, the use of empirical and heuristic approaches somewhat decreases the accuracy of the results. Moreover, we can mention numerous works [4, 5] in which the localization of strains is described by using the deterministic engineering approaches, although it has the random character, as the major part of physicomechanical signals. For this reason, it is necessary to develop new methods for modeling the processes of deformation in contemporary structural materials and to improve the available procedures. This task is of special importance for the engineering monitoring of the state of fatigue sensors in the aircraft structures. This control is impossible without the corresponding automated diagnostic systems. The use of contemporary computers in these systems can significantly extend their technical possibilities and guarantee the possibility of more reliable evaluation of the states of the surfaces in aircraft structures [1, 6].
The indicated problems are connected with the insufficient development of the theory of modeling and processing of cyclic signals from mesomechanical processes [7, 8]. Therefore, it is necessary to develop models and methods that would include the available algorithms of their processing within the framework of a single methodological theoretic approach. It is required to consider a broad spectrum of possible signs of the cyclicity of topographic elements for the description not only of the exact or probabilistic repetition in the structure of data but also the diversity of regularities of changes and the rhythm of cyclic signals caused by the formation of topography for certain macrodeformations of the specimen.
In what follows, we substantiate the possibilities of application of the stochastic approach to the analysis and modeling of the ordered topographies of the surface of D16chT statically deformed aluminum alloy. 1 2
Pulyui Ternopil' National Technical University, Ternopil', Ukraine. Corresponding a
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