  Tarasov-SD-tik-2026-1-ru.pdf |
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- Method of synthesis of a mathematical model of the topography of natural leather
- Tarasov S. D. Method of synthesis of a mathematical model of the topography of natural leather. Technologies & Quality. 2026. No 1(71). P. 11–18. (In Russ.) https://doi.org/10.34216/2587-6147-2026-1-71-11-18.
- DOI: https://doi.org/10.34216/2587-6147-2026-1-71-11-18
- УДК: 687.022
- EDN: VYVWYQ
- Publish date: 2026-02-09
- Annotation: This article discusses a proposed method for synthesizing a mathematical model of natural leather topography based on experimental values obtained during testing of material samples. The object of the study is natural leather used in the manufacture of footwear. The subject of the study is the patterns of distribution of various indicators over the surface of natural leather, based on which it is possible to mathematically justify the identification of various topographic areas. The proposed method for synthesizing a mathematical model of natural leather topography includes the following stages: developing a sample arrangement scheme on a sheet of material, which is optimal for constructing a mathematical model; testing samples and obtaining numerical values of material indicators; determining sample coordinates in a local coordinate system; approximating the obtained data using a network of radial basis functions; determining the numerical value of the indicator required for production; identifying a topographic area. The method for synthesizing a mathematical model of natural leather topography is implemented in the form of a computer program. The method was tested on a cut of natural leather, using bending test parameters using the ring method.
- Keywords: natural leather, topographic areas, bending test, approximation, mathematical model, elasticity, bending work, proportionality coefficients, modulus of elasticity
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