## 1 Introduction  
In many climatic conditions in late autumn, winter, and early spring seasons frequent cyclic transitions occur for air temperature, and for the temperature of the surface and upper part of asphalt concrete layers of highways, respectively, through 0 \({}^{\circ}\)C. According to some data the number of such transitions for air temperature through 0 \({}^{\circ}\)C is 100 and more in the south of Kazakhstan annually. The specified phenomenon is also a characteristic one for climatic conditions of many countries in the world including European ones. For example, index of freezing-thawing (FT) was 650 degree-days in Paris in the worst winter season of 1962-1963, and it was 240 degree-days in the south of France [1]. [PERSON] et al. reported about the fact that pavement of Western Europe is subjected to 500-1200 freezing-thawing cycles for 12-15 years of service life [2]. It is known that cyclic freezing and thawing (CFT) decreases the asphalt concrete strength and results in failure of the asphalt concrete pavement [3]. It was only in 1940 when [PERSON] stated that (CFT) resulted in irreversible failures of asphalt concrete pavements after 8-10 years of operation [4]. Therefore, impact assessment of CFT on properties of bitumens and asphalt concretes is an important one. For example, [PERSON] et al. [5] give the results of laboratory experimental study for the effect of CFT on the characteristics of the asphalt concrete. It was found that CFT impacts greatly on the characteristics of the asphalt concrete. Specifically, it has been shown that already after six cycles Marshall stability is decreased by 56.6%, and after 24 cycles it is decreased by 77%. The effect of CFT on stiffness at 60 s and other characteristics of six types for fine aggregate matrixes (FAM) have been investigated by [PERSON] et al. [6]. Stiffness of the mixtures has been determined on bending beam rheometer (BBR). The obtained results have shown that CFT in all cases decreases the stiffness of mixtures and the stiffness decreasing becomes stronger with the increasing of cycles number for freezing and thawing. For example, after CFT the stiffness can be decreased till 27%. [PERSON] et al. [7] evaluated the effect of CFT on the fatigue life of hot mix asphalt and bitumen stiffness. The samples of asphalt concrete and bitumen have been subjected to 5, 10, 15, and 20 CFT. It is found out that the investigated characteristics of the asphalt concrete and bitumen are decreased with the number increase for cycles of FT. Meanwhile, after 20 cycles of FT the fatigue strength of the asphalt concrete and bitumen stiffness have been decreased for 37% and 41% respectively. Stiffness decrease (deformability increase) and recoverability of creep strain decrease for neat bitumen and bitumen modified with ethylene vinyl acetate has been reported in the works [8] and [9] respectively. Essential decrease of dynamic modulus for an asphalt concrete after CFT occurring within one winter season in conditions of southern Ontario (Canada) has been reported in the article [10]. [PERSON] et al. [11], based on the results of laboratory tests, show also the effect of CFT on strength and resilient modulus of the asphalt concrete at compression. After 14 cycles of FT the strength and elasticity modulus are decreased for 14% and 20% respectively. The results of laboratory experimental investigations for three types of asphalt concrete (a stone music asphalt mixture, a conventional dense graded asphalt mixture and an open graded asphalt mixture) have shown that CFT impacts greatly on permeability of asphalt concretes [12]. CFT increases the sizes of the existing pores and causes the occurrence of the new ones in an asphalt concrete. With increase of the cycle number of FT the hydraulic conductivity is essentially increased and with big values of hydraulic gradient the regime of water flow in the asphalt concrete does not follow the Darcy's law, i.e., it is not a laminar regime, but a turbulent one [12].