Funct. Mater. 2019; 26 (2): 342-346.


Mathematical model of bending two-layer film aluminium-polyimide structure due to temperature changes

I.Sh.Nevliudov1, V.M.Borshchov2, V.A.Palagin1, I.A. Razumov-Fryziuk1, I.T.Tymchuk1, V.V.Nevliudova1, A.Y.Petrova3

1Kharkiv National University of Radioelectronics, 14 Nauky Ave., 61166 Kharkiv, Ukraine
2LED Technologies of Ukraine, 3 Novgorodskaya Str., 61145 Kharkiv, Ukraine
3V.Karazin Kharkiv National University, 4 Svobody Sq., 61022 Kharkiv, Ukraine


Mathematical model of bending two-layer film aluminium-polyimide structures due temperature changes during making by adhesiveless method printing and thermo treatment for imidization of insulation is obtained. Different linear expansion coefficients of layers lead to distortion flatness of structure. Model connects temperature changes with mechanical bending moment, qualities of materials, dimensions layers and permits to calculate all parameters stress-strain state: curvature, situation of neutral surface concerning adhesion surface, distribution stresses and forces in materials. Model uses common hypotheses of theory bending about existence neutral layer in curving structure, that all normals to neutral surface of curving structure don't become distorted, remain normal to deformed surface and adjoin layers don't press one on another. Results of work can be used for selection of materials and constructive elements of flexible connecting cables and boards for detector systems in high-energy physics experiments.

flexible cable, printed board, adhesiveless structures.

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