Impact Compressive Properties of RTPF Reinforced Concrete Based on Fractal Theory

doi:10.12068/j.issn.1005-3026.2025.20230214

Abstract

Abstract:

In order to explore the relationship between the dynamic compressive performance of recycled tire polymer fiber （RTPF） reinforced concrete and the distribution rule of fragment size， the impact compression tests of concrete incorporating different volume fractions of RTPF （0， 0.05%， 0.1%， 0.2% and 0.4%） were conducted using a split Hopkinson pressure bar with a diameter of 100 mm. The results indicate that the fractal dimension of concrete with different RTPF contents ranges from 1.422 to 2.401 under the strain rates of 38.2～122.2 s^-1. The fractal dimension increases with the increase of strain rate， which has typical strain rate effect. The fractal dimension first decreases and then increases with the increase of RTPF content， and the fractal dimension of concrete reinforced with 0.1% RTPF is the lowest. The dynamic compressive strength and dissipated energy of RTPF reinforced concrete all increase with the increase of fractal dimension regardless of the strain rates. At the same fractal dimension， the fiber‑matrix synergistic effect is the optimum under RTPF volume fraction of 0.1%， which provides the superior enhancement in the dynamic compressive strength and dissipative energy of concrete. The relationship between the macroscopic damage and dynamic compressive properties of RTPF reinforced concrete can be established using fractal theory to obtain the optimal content of RTPF for concrete.

Key words: fiber reinforced concrete, recycled tire polymer fiber （RTPF）, split Hopkinson pressure bar （SHPB）, fractal dimension, impact compression

CLC Number:

TU 528.572

Meng CHEN, Hang YU, Yu-ting WANG, Tong ZHANG. Impact Compressive Properties of RTPF Reinforced Concrete Based on Fractal Theory[J]. Journal of Northeastern University(Natural Science), 2025, 46(1): 127-133.

Figures/Tables 14

Fig.1 Morphology of RTPF

Table 1 Physical and mechanical properties of RTPF

长度/mm	直径/ $μ m$	密度/（kg·m^-3）	弹性模量/GPa
8.7±4.1	21.1±2.5	1 160	3.21

Table 1 Physical and mechanical properties of RTPF

长度/mm	直径/ $μ m$	密度/（kg·m^-3）	弹性模量/GPa
8.7±4.1	21.1±2.5	1 160	3.21

Table 2 Proportions of mixture of RTPF

试件编号	水泥	粗骨料	细骨料	水	减水剂	RTPF
R0	472	1 144	616	218	2.36	0
R0.05	472	1 144	616	218	2.36	0.6
R0.1	472	1 144	616	218	2.36	1.2
R0.2	472	1 144	616	218	2.36	2.4
R0.4	472	1 144	616	218	2.36	4.8

Fig.2 SHPB testing device

Fig.3 Scanning electron microscope of failure interface in concrete

Fig.4 Fragment size distributions of concrete specimens reinforced by different RTPF contents

Fig.5 The ln [M（x）/M]-lnx curves of concrete reinforced by different RTPF contents

Fig.6 Variations of fractal dimension of RTPF reinforced concrete with strain rate

Fig.7 Variations of fractal dimension of concrete with RTPF content under different strain rates

Fig.8 Variations of dynamic compressive strength of RTPF reinforced concrete with fractal dimension

Table 4 Fitting equation for dynamic compressive

试件编号	拟合方程	R²
R0	f=19.42D_b+23.42	0.992
R0.05	f=15.10D_b+39.08	0.948
R0.1	f=20.24D_b+33.50	0.923
R0.2	f=16.52D_b+29.97	0.986
R0.4	f=13.34D_b+28.07	0.957

Fig.9 Variations of dissipated energy of RTPF reinforced concrete with fractal dimension

Table 5 Fitting equation for dissipated energy

试件编号	拟合方程	R²
R0	W_A =373.13D_b-377.12	0.957
R0.05	W_A =317.95D_b-198.73	0.995
R0.1	W_A =321.44D_b-129.26	0.999
R0.2	W_A =399.40D_b-396.75	0.973
R0.4	W_A =392.01D_b-540.42	0.959

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