Complex analysis of uniaxial compressive tests of the Mórágy granitic rock formation (Hungary)

M. Davarpanah; G. Somodi; L. Kovács; B. Vásárhelyi

Open Access

Complex analysis of uniaxial compressive tests of the Mórágy granitic rock formation (Hungary)

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| Apr 12, 2019

Studia Geotechnica et Mechanica

Volume 41 (2019): Issue 1 (April 2019)

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Published Online: Apr 12, 2019

Page range: 21 - 32

Received: Sep 15, 2018

Accepted: Feb 04, 2019

DOI: https://doi.org/10.2478/sgem-2019-0010

Keywords
uniaxial compressive test, modulus ratio (), maximum axial strain(ε), crack damage stress(σ), crack initiation stress (σ), Mórágy granite formation.

© 2018 M. Davarpanah et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Relationship between modulus ratio (MR) and maximum axial strain (εa, max) using different carbonate rocks [7].

Main types of rock samples. (a, b) Megacryst-bearing, medium-grained, biotite monzogranites. (c) Medium-grained, biotite monzogranites with elongated monzonitic enclaves. (d) Quartz monzonite.

A prepared sample in the beginning of the UCS test.

Axial stress–volumetric strain curve with the threshold of crack initiation and crack damage and failure stress for Hungarian granitic sample (uniaxial compression case).

Crack volumetric strain method for crack initiation threshold determination for Hungarian granitic rock sample (uniaxial compression case).

Poisson’s ratio method for crack initiation threshold determination for Hungarian granitic rock sample (uniaxial compression case).

Observed values of modulus ratio (MR) in each of 50 examined rock samples.

Influence of uniaxial compressive strength (σc) on elastic modulus (E) and the value of MR for all studied samples.

Observed and analytical (Eq. 1) relationship between εa, max and MR.

Relative (ζ , %) and root-mean-square (χ) errors between calculated (Eq. 1) and observed MR.

Relationship between MR and εcd(%).${{M}_{\text{R}}}\,\text{and}\,{{\varepsilon }_{\text{cd}}}\left(\text % \right).$

Relationship between MR and σcd.${{M}_{\text{R}}}\,\,\text{and}\,\,\,{{\sigma }_{\text{cd}}}.$

Relationship between MR and σcdσc.${{M}_{\text{R}}}\,\,\text{and}\,\,\,\frac{{{\sigma }_{\text{cd}}}}{{{\sigma }_{\text{c}}}}.$

Relationship between MR and εa,maxεcd.${{M}_{\text{R}}}\,\text{and}\,\,\frac{{{\varepsilon }_{\text{a,max}}}}{{{\varepsilon }_{\text{cd}}}}.$

Relationship between σcdσc and εa,maxεcd.$\frac{{{\sigma }_{\text{cd}}}}{{{\sigma }_{\text{c}}}}\,\,\text{and}\,\frac{{{\varepsilon }_{\text{a,max}}}}{{{\varepsilon }_{\text{cd}}}}.$

Relationship between MR and crack initiation stress (σci ).

Relationship between MR and crack initiation strain (εci).

Relationship between MRand σciσcd.${{M}_{\text{R}}}\text{and}\,\frac{{{\sigma }_{\text{ci}}}}{{{\sigma }_{\text{cd}}}}.$

Relationship between MRand εciεcd.${{M}_{\text{R}}}\text{and}\,\frac{{{\varepsilon }_{\text{ci}}}}{{{\varepsilon }_{\text{cd}}}}.$

Relationship between σciσcd and εcdεci.$\frac{{{\sigma }_{\text{ci}}}}{{{\sigma }_{\text{cd}}}}\,\text{and}\,\,\frac{{{\varepsilon }_{\text{cd}}}}{{{\varepsilon }_{\text{ci}}}}.$

Mechanical properties of investigated Mórágy granitic rock samples.

Rock sample	ν	E	ε_ci	σ_ci	ε_cd	σ_cd	ε_{a, max}	σ_c	M_R

	(-)	(GPa)	(%)	(MPa)	(%)	(MPa)	(%)	(MPa)	(-)
BeR-6_U-10	0.24	74.776	0.030	50.73	0.091	152.244	0.278	181.05	413.0
BeR-7_U-02	0.21	71.612	0.037	50.37	0.095	145.15	0.34	174.80	409.7
BeR-7_U-04	0.25	74.447	0.037	59.61	0.063	131.70	0.33	183.39	405.9
BeR-8_U-01	0.22	63.357	0.060	59.84	0.120	165.89	0.29	184.48	343.4
BeR-10_U-08	0.21	66.129	0.025	30.06	0.044	77.30	0.22	137.14	482.2
BeR-10_U-18	0.23	72.794	0.048	64.89	0.078	148.24	0.2	148.39	490.6
BeR-10_U-20	0.23	63.787	0.035	39.28	0.087	133.75	0.27	156.74	407.0
BeR-11_U-08	0.23	68.950	0.054	80.82	0.104	168.94	0.31	204.23	337.6
BeR-12_U-02	0.22	79.660	0.029	34.36	0.08	128.84	0.18	133.34	597.4
BK1-1_U-12	0.23	70.153	0.036	51.74	0.076	131.50	0.23	172.74	406.1
BK1-3_U-01	0.32	72.891	0.037	79.97	0.053	121.05	0.28	184.59	394.9
BK1-3_U-03	0.19	69.164	0.065	71.75	0.14	132.66	0.22	133.62	517.6
BK1-3_U-04	0.18	71.860	0.045	47.93	0.113	112.28	0.18	153.60	467.8
BK1-3_U-08	0.23	70.137	0.059	80.36	0.147	142.79	0.22	172.55	406.5
BK1-3_U-12	0.25	57.425	0.066	67.99	0.13	134.11	0.27	135.14	424.9
BK2-1_U-03	0.21	74.228	0.057	74.61	0.09	131.78	0.19	146.65	506.2
BK2-3_U-07	0.28	77.332	0.036	59.84	0.068	119.12	0.19	143.71	538.1
BK2-3_U-15	0.22	80.365	0.035	48.57	0.090	160.74	0.24	178.41	450.5
BK2-3_U-18	0.2	73.819	0.069	80.22	0.11	153.84	0.23	159.16	463.8
BK2-4_U-02	0.2	76.820	0.06	88.12	0.106	177.32	0.26	205.62	373.6
BK2-4_U-04	0.21	77.709	0.045	60.07	0.090	130.57	0.20	155.49	499.8
BK2-5_U-02	0.25	77.866	0.038	62.63	0.070	134.14	0.23	166.29	468.3
Bkf-1_U-03	0.24	77.665	0.050	50.46	0.070	120.14	0.30	161.63	480.5
Bkf-2_U-03	0.22	60.602	0.065	76.84	0.118	164.66	0.39	180.93	334.9
Bkf-4_U-03	0.22	79.856	0.042	60.29	0.083	142.38	0.24	179.28	445.4
Bkf-5_U-02	0.24	79.818	0.034	53.90	0.067	135.29	0.20	169.67	470.4
Bl-112_U-02	0.21	72.897	0.029	37.88	0.093	144.19	0.20	164.59	442.9
Bp-4_U-05	0.25	76.992	0.041	69.46	0.1	181.85	0.24	187.69	410.2
Bp-4B_U-01	0.21	69.800	0.042	49.25	0.109	159.85	0.36	184.45	378.4
Bp-4B_U-05	0.23	76.237	0.033	49.37	0.076	148.77	0.28	170.10	448.2
Bp-4B_U-13	0.27	77.924	0.049	74.11	0.096	170.28	0.25	177.91	438.0
Bp-4B_U-17	0.24	74.648	0.045	60.27	0.083	162.61	0.26	181.43	411.4
Bp-4B_U-19	0.22	77.182	0.058	80.43	0.100	160.13	0.25	190.48	405.2
Bp-4B_U-23	0.24	74.683	0.053	80.00	0.077	137.96	0.24	165.23	452.0
Bp-5_U-19	0.25	73.506	0.031	49.73	0.056	121.48	0.23	149.76	490.8
Bp-5_U-21	0.25	80.159	0.040	70.45	0.064	137,00	0.26	171.46	467.5
Bx-81_U-03	0.22	65.782	0.045	53.44	0.088	130.84	0.29	149.28	440.7
Bx-82_U-01	0.25	82.940	0.046	80.51	0.085	162.08	0.27	180.33	459.9
Bx-82_U-03	0.29	84.949	0.024	49.99	0.044	120.612	0.2	166.87	509.1
Bx-83_U-01	0.26	72.864	0.030	60.56	0.067	150.321	0.26	169.70	429.4
Bx-83_U-03	0.25	78.072	0.057	90.36	0.095	182.085	0.37	212.42	367.5
Bx-84_U-01	0.25	80.669	0.047	79.90	0.073	147.6	0.23	178.07	453.0
Bx-84_U-03	0.27	81.144	0.039	69.38	0.062	138.183	0.26	166.94	486.1
Bx-101_U-02	0.24	76.994	0.042	71.53	0.058	112.5	0.19	142.49	540.3
Bx-101_U-04	0.26	79.300	0.048	60.58	0.091	160.96	0.23	163.19	485.9
Bz-921_U-01	0.21	71.574	0.056	68.79	0.121	164.573	0.3	192.80	371.2
Bz-942_U-01	0.23	73.511	0.053	73.43	0.11	182.66	0.28	198.58	370.2
Bz-1221_U-01	0.2	69.540	0.049	58.25	0.100	165.836	0.29	213.04	326.4
Bz-1311_U-01	0.3	88.937	0.035	75.93	0.060	163.371	0.23	206.48	430.7
Bz-1351_U-01	0.25	67.053	0.034	50.86	0.080	145.566	0.28	159.97	419.2

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Complex analysis of uniaxial compressive tests of the Mórágy granitic rock formation (Hungary)

Article Category: Research Article

Published Online: Apr 12, 2019

Page range: 21 - 32

Received: Sep 15, 2018

Accepted: Feb 04, 2019

DOI: https://doi.org/10.2478/sgem-2019-0010

Keywords
uniaxial compressive test, modulus ratio (), maximum axial strain(ε), crack damage stress(σ), crack initiation stress (σ), Mórágy granite formation.

© 2018 M. Davarpanah et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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Mechanical properties of investigated Mórágy granitic rock samples.

Complex analysis of uniaxial compressive tests of the Mórágy granitic rock formation (Hungary)

Article Category: Research Article

Published Online: Apr 12, 2019

Page range: 21 - 32

Received: Sep 15, 2018

Accepted: Feb 04, 2019

DOI: https://doi.org/10.2478/sgem-2019-0010

Keywordsuniaxial compressive test, modulus ratio (), maximum axial strain(ε), crack damage stress(σ), crack initiation stress (σ), Mórágy granite formation.

© 2018 M. Davarpanah et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Figure 1

Figure 2

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Figure 10

Figure 11

Figure 12

Figure 13

Figure 14

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Mechanical properties of investigated Mórágy granitic rock samples.

Keywords
uniaxial compressive test, modulus ratio (), maximum axial strain(ε), crack damage stress(σ), crack initiation stress (σ), Mórágy granite formation.