Theoretical Description of the Self-Healing Process in Asphalt Concrete

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Abstract

The article presents a theoretical description of the self-healing process that is realized in building materials. A mathematical model of the change in the structurally sensitive parameter (strength, resistance coefficient) of the material under the influence of the operating environment, which occurs as a result of two processes, is proposed in the form of kst (t) = C10exp (A1t) + C20exp (A2t) + 1, where the first term characterizes the features of the recovery process, and the second – the features of the destructive processes. The mandatory condition is: C10 + C20 = 0. The parameters Ci (t) = Ci (0) + kit are a function of time, establishing the change in the degree of contribution of each component, which in the initial period of time are equal to 0 in total, and the coefficients ki indicate the intensity of the attenuation of the process and the change in the contribution of the coefficients Ci over time. Using experimental data, the applicability of the proposed model for self-healing asphalt concretes is proven. The use of an encapsulated modifier allows for an increase in the growth of the resistance coefficient due to self-healing by 49–63%. At the same time, the rate of self-healing does not change significantly, and the rate of destruction after self-healing using encapsulated AR polymer is 2.7 times. The obtained results prove that the use of encapsulated AR polymer is an effective way to implement self-healing technology in asphalt concrete.

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About the authors

S. S. Inozemtsev

National Research Moscow State University of Civil Engineering

Author for correspondence.
Email: inozemtsevss@mail.ru

Candidate of Sciences (Engineering)

Russian Federation, 26, Yaroslavskoe Hwy, Moscow, 129337

E. V. Korolev

Saint Petersburg State University of Architecture and Civil Engineering

Email: korolev@nocnt.ru

Doctor of Sciences (Engineering)

Russian Federation, 4, 2nd Krasnoarmeyskaya St., Saint Petersburg, 190005

References

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Supplementary files

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2. Fig. 1. Scheme of the process of self-healing of bitumen binder based on the theory of capillary diffusion [12]

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3. Fig. 2. Kinetics of change in material strength: 1 – state of material with complete restoration of structure; 2 – state of material with partial restoration of structure; R (0) – initial strength; Rn – strength for different degrees of restoration of structure

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4. Fig. 3. Dependence of the kst (t) model during the implementation of the self-healing process at C1 = –0.5; C2 = 0 (a) and during the implementation of destruction at C1 = 0; C2 = 0.5 (b) for R (0) = 3 MPa

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5. Fig. 4. Behavior of the function kst (t) for C1 = –0.5; C2 = 0.5 for different combinations of coefficients A1 and A2

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6. Fig. 5. Behavior of the function kst (t) at α = –2; β = –2; γ = –2 and R (0) = 3 MPa: 1 – C1 (0) = –C2 (0) = –3; 2 – C1 (0) = –C2 (0) = –2; 3 – C1 (0) = –C2 (0) = –1 at different k1 (a) and k2 (b)

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7. Fig. 6. Change of kst,max (a) and vh / vd (b) at α = –2; β = –2; γ = –2 and R (0) = 3 MPa: 1 – C1 (0) = –C2 (0) = –3; 2 – C1 (0) = –C2 (0) = –2; 3 – C1 (0) = –C2 (0) = –1 at different k1 and k2

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8. Fig. 7. Dependence of the resistance coefficient of asphalt concrete stone mastic asphalt concrete (SMAC) (1); SMAC with encapsulated oil (2); SMAC with encapsulated AR polymer (3)

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