International Conference «Mathematical and Information Technologies, MIT-2016»

28 August – 5 September 2016

Vrnjacka Banja, Serbia – Budva, Montenegro

## Modeling mechanical deformation processes of metallized polymer films irradiated by electron

Preparations and investigations of the metallized polymeric materialscaused by wide use of this materialsin the space industry, electronics, etc .
Goal of this materials research is to obtain  composite films that have different distribution of the metallic thickness phase and do not affect mechanical properties.
Experimental and theoretical relation between relative extension(ε)and applied stress (σ)tothe for non-irradiated and irradiated silver metallized polyimide films were obtained. Research found that the metallization of polyimide film increases its relative elongation  to120% and breaking applied tension reaches ~ 175 MPa. Reason described below effect is related with method of producing these films.
Reaction of the material to mechanical deformation can be described by the following analytical expression:

expression(1), can be written as:

whereЕ - average elasticitymodule of the composite material.
The first and second parts of the series (2) describes  behavior of the material in the elastic region. First term of the expansion describes behavior of the material due to deformation as linear law (when σ <35 MPa), i.e. Hooke's law, and the second term of the expansion - in a non-linear (if σ ≥ 35 MPa). Third term takes into account the expansion behavior of the material as ductile, when the value of Еn is not a modulus of elasticity, etc.
According to (2) for irradiated metallized polymer films in the elastic regionequal average modulusε = f()  was experimentally determined equal to 31,7 MPa.
Experimental and theoretical curves agree very well for the area loads under ~ 140 MPa. Proposed mathematical model describes well the dependence ε = f() for the metallized films and films irradiated with electrons. Elasticity modulus is reducing due to exposure dose .Elasticity modulus is equal to: at D = 10 МГр - Е = 31,1МПа; D = 20 МГр - Е = 31 МПа; D = 30 МГр - Е = 30,1 МПа; D = 40 МГр - Е = 27 МПа.
References
[1] Бюллер К-У. Тепло - и термостойкие полимеры /  М. «Химия», 1984. - 156с.
[2]  Krulikovckaya M.P., Kuzub A.A., Circo L.t. // FMM.- 1989.-v.67, №2. - S.353-360..

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