Study on Fuzzy Models of Thermal Condactivity of Thin Composites Based on Analitical Dependences

Abstract

The paper presents a method for calculating the thermal conductivity coefficient of thin prismatic specimens with disc inclusions, taking into account the inclusion diameter and thermal conductivity coefficient. The main goal of the research is an attempt to fill the lack of information about the thermal conductivity of composite materials with a disc filler. The model is based on thermal resistance consideration at the material-inclusion interface. The applicability ranges of the developed method are given. There are results presented to show applicability of the obtained analytical relationships for relatively small values of the thermal conductivity coefficient and diameter of the inclusion (filler). Based on a fuzzy model for static objects as applied to composite materials, an analysis of accuracy for analytical dependences and numerical results is given. The graphs of change in the thermal conductivity coefficient with required accuracy were obtained on the basis of the fuzzy model.