Study on the Fracture Toughness of Polypropylene–Basalt Fiber-Reinforced Concrete

Liang, Ninghui; Ren, Lianxi; Tian, Shuo; Liu, Xinrong; Zhong, Zuliang; Deng, Zhiyun; Yan, Ru

doi:10.1186/s40069-021-00472-x

International Journal of Concrete Structures and Materials

Table 4 Comparison of \(K_{{{\text{IC}},T}}^{C}\) and \(K_{{{\text{IC}},E}}^{C}\) (MPa m^1/2).

From: Study on the Fracture Toughness of Polypropylene–Basalt Fiber-Reinforced Concrete

Specimen	\(K_{{{\text{Ic}},T}}^{c}\)	\(K_{{{\text{Ic}},E}}^{c}\) (Peterson)	\(K_{{{\text{Ic}},E}}^{c}\)(CEB-FIP)	\(K_{{{\text{Ic}},E}}^{c}\) (Xu and Reinhardt)
Specimen	\(K_{{{\text{Ic}},T}}^{c}\)	\(K_{{{\text{Ic}},E}}^{c}\) (Peterson)	\(K_{{{\text{Ic}},E}}^{c}\)(CEB-FIP)	λ = 5	λ = 6	λ = 7	λ = 8	λ = 9	λ = 10
A0	0.440	0.303	0.277	0.462	0.370	0.335	0.316	0.304	0.296
	0.440	0.318	0.290	0.483	0.387	0.351	0.331	0.319	0.311
	0.443	0.310	0.283	0.475	0.380	0.343	0.324	0.312	0.304
ϒ		0.051	0.075	0.003	0.012	0.029	0.042	0.050	0.057
A1	0.639	0.435	0.396	0.688	0.544	0.489	0.460	0.441	0.429
	0.683	0.416	0.379	0.654	0.518	0.466	0.439	0.421	0.410
	0.694	0.441	0.402	0.696	0.551	0.495	0.465	0.447	0.435
ϒ		0.176	0.237	0.003	0.056	0.109	0.144	0.168	0.186
A2	0.734	0.449	0.409	0.710	0.561	0.504	0.474	0.455	0.443
	0.682	0.471	0.428	0.746	0.589	0.529	0.497	0.477	0.464
	0.697	0.457	0.335	0.723	0.571	0.513	0.482	0.463	0.450
ϒ		0.183	0.301	0.005	0.054	0.110	0.148	0.174	0.193
A3	0.489	0.337	0.308	0.521	0.415	0.375	0.353	0.340	0.331
	0.435	0.338	0.308	0.518	0.414	0.374	0.353	0.340	0.331
	0.473	0.392	0.357	0.604	0.482	0.435	0.410	0.394	0.384
ϒ		0.039	0.062	0.025	0.006	0.018	0.029	0.037	0.044
A4	0.475	0.356	0.325	0.548	0.437	0.395	0.372	0.358	0.349
	0.484	0.372	0.340	0.578	0.460	0.415	0.391	0.376	0.366
	0.476	0.363	0.331	0.563	0.448	0.404	0.381	0.366	0.356
ϒ		0.040	0.065	0.022	0.003	0.016	0.028	0.037	0.044
A5	0.710	0.438	0.399	0.694	0.549	0.493	0.463	0.445	0.433
	0.692	0.470	0.427	0.746	0.589	0.528	0.496	0.476	0.463
	0.685	0.457	0.416	0.723	0.571	0.513	0.482	0.463	0.450
ϒ		0.175	0.239	0.005	0.049	0.103	0.140	0.166	0.184
A6	0.727	0.476	0.433	0.756	0.597	0.536	0.503	0.483	0.470
	0.714	0.501	0.455	0.797	0.628	0.564	0.529	0.508	0.494
	0.718	0.492	0.447	0.782	0.617	0.553	0.520	0.499	0.485
ϒ		0.160	0.227	0.012	0.035	0.086	0.124	0.150	0.169
A7	0.637	0.435	0.395	0.688	0.544	0.488	0.459	0.441	0.428
	0.625	0.420	0.383	0.664	0.525	0.472	0.444	0.426	0.414
	0.631	0.417	0.380	0.659	0.522	0.468	0.440	0.423	0.411
ϒ		0.128	0.180	0.005	0.030	0.072	0.101	0.121	0.136
A8	0.502	0.384	0.350	0.603	0.478	0.430	0.405	0.389	0.378
	0.471	0.383	0.349	0.601	0.477	0.429	0.403	0.388	0.377
	0.491	0.361	0.329	0.565	0.449	0.404	0.380	0.366	0.356
ϒ		0.023	0.047	0.077	0.001	0.004	0.012	0.020	0.026
A9	0.446	0.334	0.304	0.514	0.410	0.370	0.349	0.336	0.327
	0.455	0.345	0.315	0.536	0.427	0.385	0.362	0.349	0.339
	0.454	0.368	0.335	0.576	0.457	0.412	0.387	0.372	0.362
ϒ		0.032	0.054	0.026	0.002	0.012	0.022	0.030	0.036
A10	0.745	0.518	0.471	0.822	0.649	0.582	0.547	0.525	0.510
	0.745	0.525	0.477	0.833	0.657	0.589	0.554	0.531	0.516
	0.713	0.524	0.476	0.832	0.656	0.589	0.553	0.531	0.516
ϒ		0.136	0.204	0.028	0.020	0.066	0.102	0.127	0.146
A11	0.674	0.514	0.467	0.816	0.644	0.577	0.542	0.521	0.506
	0.660	0.497	0.452	0.787	0.622	0.558	0.525	0.504	0.490
	0.691	0.511	0.465	0.812	0.641	0.575	0.540	0.518	0.504
ϒ		0.085	0.138	0.051	0.005	0.033	0.059	0.078	0.093
A12	0.657	0.454	0.413	0.714	0.565	0.508	0.478	0.459	0.446
A12	0.652	0.463	0.421	0.727	0.576	0.518	0.487	0.468	0.455
ϒ		0.018	0.038	0.055	0.001	0.004	0.010	0.017	0.021

One of the test specimens in the A12 group failed to obtain the test data due to errors in the test operation, so the A12 group only had two sets of data.

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