Investigation on Two Methods for Evaluating Mechanical Properties of Tube Materials

doi:10.15541/jim20150410

Abstract

Abstract:

Elastic modulus and bending strength of tube materials were evaluated via compressing a split ring sample or a closed ring sample for different materials. Elastic modulus was estimated from the load-displacement relationship and sample dimensions in the range of elasticity, while bending strength was derived through the critical load at fracture. In this work, four tube materials were divided in two groups to research the applicable scopes of two methods. The results indicate that the split ring is suitable for materials with high brittleness and low limit strain, while the closed ring is available for low-stiffness materials. Comparison with the three-point bending data demonstrated the validity and convenience of two methods with the respective applicable range.

Key words: elastic modulus, bending strength, split ring, closed ring, tube materials

CLC Number:

TQ174

LIU Zhao, BAO Yi-Wang, WAN De-Tian, HU Chun-Lin, MA De-Long, TIAN Yuan. Investigation on Two Methods for Evaluating Mechanical Properties of Tube Materials[J]. Journal of Inorganic Materials, 2016, 31(2): 213-219.

Figures/Tables 13

Fig. 1 Schematic of the split ring before and during loading

Fig. 2 Schematic of the closed ring before and during loading

Fig. 3 Schematic of the longitudinal symmetry section at stress point B

Table 1 Components, physical properties and dimensions of four testing tube materials

Sample	Gradients & Contents /%	Density /(g·cm^-3)	Thermal expansion coefficient /(×10^-6, K^-1)	Thermal conductivity /(W·m^-1·K^-1)	Size/mm
Sample	Gradients & Contents /%	Density /(g·cm^-3)	Thermal expansion coefficient /(×10^-6, K^-1)	Thermal conductivity /(W·m^-1·K^-1)	R	r
Alumina	Al₂O₃: 99.70	3.67	8.60	25.00	15	12
Quartz glass	SiO₂: 99.95	2.26	0.55	41.00	24	21
Graphite	C: 99.92	1.83	4.30	106.00	15	12
PMMA	PMMA: 100.00	1.18	85.00	0.19	18	15

Fig. 4 Photograph of testing samples used in this work

Table 2 Loading speeds for modulus test and strength test

Loading speed /(mm·min^-1)	Alumina		Quartz glass		Graphite		PMMA
Loading speed /(mm·min^-1)	E	σ	E	σ	E	σ	E	σ
Split ring test (C)	0.10	0.5	0.10	0.5	0.2	1.0	0.5	2.5
Closed ring test (O)	0.02	0.1	0.04	0.2	0.1	0.5	0.4	2.0
Three-point bending test (3)	0.02	0.1	0.04	0.2	0.1	0.5	0.4	2.0

Fig. 5 Elastic modulus of high-stiffness group measured by three methods

Table 3 The ratio of modulus for four tube materials

Sample	Alumina	Quartz glass	Graphite	PMMA
E_c/E₃	1.003	1.007	1.024	1.095
E_o/E₃	0.898	0.956	1.014	1.007

Fig. 6 Elastic modulus of low-stiffness group measured by three methods

Fig. 7 Bending strength of high-stiffness group measured by three methods

Table 4 The ratio of the ultimate strain for four tube materials

Sample	Alumina	Quartz glass	Graphite	PMMA
ε_bc/ε_b3	0.955	0.996	0.910	-
ε_bo/ε_b3	1.027	1.012	0.992	0.843

Fig. 8 Bending strength of low-stiffness group measured by three methods

Fig. 9 The relationship between εb3 and εb/εb3 for both methods

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