多晶铌酸钾钠在高压下的声学和弹性性质研究

肖礼康; 冯秋; 房雷鸣; 周章洋; 熊政伟; 蓝江河; 杨佳; 刘艺; 高志鹏

doi:10.11858/gywlxb.20230660

多晶铌酸钾钠在高压下的声学和弹性性质研究

doi: 10.11858/gywlxb.20230660

肖礼康^1,,
冯秋^2,,
房雷鸣³,
周章洋⁴,
熊政伟²,
蓝江河¹,
杨佳⁴,
刘艺⁴,
高志鹏^{2, 4,*, ,}

1.
电子科技大学电子科学与工程学院, 四川成都　611731
2.
西南科技大学数理学院, 四川绵阳　621010
3.
中国工程物理研究院核物理与化学研究所, 四川绵阳　621999
4.
中国工程物理研究院流体物理研究所, 四川绵阳　621999

基金项目: 国家自然科学基金委-中国工程物理研究院NSAF联合基金（U2230119）；四川省自然科学基金（2022NSFSC0333）；四川省杰出青年基金（22JCQN0005）

详细信息

作者简介:
肖礼康（1983－），男，硕士，高级工程师，主要从事电磁材料的物性与微波器件研究. E-mail：13678019141@163.com

冯　秋（1999－），男，本科，主要从事铁电材料的制备与性能研究. E-mail：1792883857@qq.com

通讯作者:
高志鹏（1985－），男，博士，研究员，主要从事高压物理研究. E-mail：18881179363@163.com

中图分类号: O521.2
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出版历程
- 收稿日期: 2023-05-15
- 修回日期: 2023-06-14
- 网络出版日期: 2023-10-22
- 刊出日期: 2023-12-15

Acoustic and Elastic Properties of Polycrystalline Potassium Sodium Niobate under High Pressures

1.
School of Electronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, Sichuan, China
2.
School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010, Sichuan, China
3.
Institute of Nuclear Physics and Chemistry, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China
4.
Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China

摘要

摘要: 在压力和温度分别为10 GPa和1050 ℃的条件下制备了Na_0.5K_0.5NbO₃陶瓷样品，采用超声干涉法测量了样品在不同静水压力下的压缩波速和剪切波速。通过三阶有限应变状态方程拟合，获得了多晶Na_0.5K_0.5NbO₃的体积模量（172.6 GPa）和剪切模量（54.6 GPa）及其压力依赖性。研究发现，样品的杨氏模量随着压力的升高而增大。基于弹性模量数据，得到样品的泊松比为0.342，表明材料具有延展性，但在高压下展现出脆性。随着压力的升高，维氏硬度和断裂韧性均增强；通过经验模型，得到陶瓷样品的维氏硬度为2.40 GPa，断裂韧性为2.33 MPa·m^1/2。基于弹性波速度和密度数据，推导出Na_0.5K_0.5NbO₃陶瓷的徳拜温度为 513.1 K，Grüneisen常数γ为2.113。这些结果为评估Na_0.5K_0.5NbO₃在高压下的声学性质和弹性相关的综合性质提供了科学依据，同时为Na_0.5K_0.5NbO₃在高压下的工程应用提供了参考。
- Na_0.5K_0.5NbO₃ /
- 高压 /
- 声速 /
- 弹性 /
- 硬度 /
- 断裂韧性
Abstract: Polycrystalline Na_0.5K_0.5NbO₃ ceramics were prepared under the condition of 10 GPa and 1050 ℃. The compression and shear wave velocities of the samples under various hydrostatic pressures were measured using ultrasonic interferometry. By fitting the third-order finite strain state equation, the bulk and shear moduli of polycrystalline Na_0.5K_0.5NbO₃ and their pressure dependency were determined as 172.6 GPa, 54.6 GPa, 0.3 and 2.1, respectively. The sample shows a positive pressure dependence of Young’s modulus. Based on the elastic modulus data, the Poisson’s ratio was obtained as 0.342, indicating that the material was ductile and shows brittleness under high pressure. The Vickers hardness and fracture toughness also show positive pressure dependence. Using the empirical models, the Vickers hardness and fracture toughness of the ceramics were obtained as 2.40 GPa and 2.33 MPa·m^1/2. Meanwhile, based on the elastic wave velocity and density data, the Debye temperature (513.1 K) and the Grüneisen constant (2.113) of Na_0.5K_0.5NbO₃ ceramics were derived. Our results provide an experimental reference for evaluating the acoustic and elastic-related comprehensive properties of Na_0.5K_0.5NbO₃ under high pressure, and a foundation for its engineering applications under extreme high-pressure conditions as well.
- Na_0.5K_0.5NbO₃ /
- high pressure /
- sound velocity /
- elasticity /
- hardness /
- fracture toughness

HTML全文

图 1 Na_0.5K_0.5NbO₃高压烧结实验样品组装剖面图

Figure 1. Cross-sectional view of the experimental sample assembly for high-pressure sintering of Na_0.5K_0.5NbO₃

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图 2 大体积压机中高压超声测量组件的横截面(a)和高压下超声干涉测量声波的传播路径及其波形(b)

Figure 2. Cross-section of the high-pressure ultrasonic measuring components in a large-volume press (a) and propagation path and waveform during ultrasonic interference measurement of sound waves under high pressures (b)

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图 3 多晶Na_0.5K_0.5NbO₃陶瓷样品在高压下的典型超声信号

Figure 3. Typical ultrasonic signal of polycrystalline Na_0.5K_0.5NbO₃ ceramic under high pressures

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图 4 初始Na_0.5K_0.5NbO₃粉末(a)和高压烧结后的多晶Na_0.5K_0.5NbO₃陶瓷(b)的XRD谱

Figure 4. XRD patterns of the initial Na_0.5K_0.5NbO₃ powder (a) and polycrystalline Na_0.5K_0.5NbO₃ ceramics sintered under high pressure (b)

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图 5 700 ℃烧结后粉料(a)和高压高温烧结制备的Na_0.5K_0.5NbO₃陶瓷(b)的SEM图像

Figure 5. SEM images of the powder after sintering at 700 ℃ (a) and Na_0.5K_0.5NbO₃ ceramic prepared by high-pressure and high-temperature sintering (b)

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图 6 Na_0.5K_0.5NbO₃陶瓷在选定压力下的压缩波和剪切波的波形数据

Figure 6. Waveform data of compression wave and shear wave for Na_0.5K_0.5NbO₃ ceramics under selected pressures

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图 7 多晶Na_0.5K_0.5NbO₃的晶胞体积(a)、v_p和v_s (b)、K和G (c)随压力的变化

Figure 7. Variations of cell volume (a), v_p and v_s (b), K and G (c) with pressure for polycrystalline Na_0.5K_0.5NbO₃

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图 8 Na_0.5K_0.5NbO₃的弹性模量对比

Figure 8. Comparison of the elastic modulus of Na_0.5K_0.5NbO₃ material

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图 9 杨氏模量、德拜温度(a)、Grüneisen常数及泊松比(b)与压力的关系

Figure 9. Variations of Young’s modulus, Debye temperature (a), Grüneisen constant and Poisson’s ratio (b) with pressure

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表 1 Na_0.5K_0.5NbO₃陶瓷在高压下的原位超声弹性波速测量结果

Table 1. Experimental results of in-situ ultrasonic elastic wave velocity measurement of Na_0.5K_0.5NbO₃ ceramics under high pressures

p/GPa	L/mm	ρ/(g·cm⁻³)	v_p/(km·s⁻¹)	v_s/(km·s⁻¹)	K/GPa	G/GPa	E/GPa	Θ/K	$ \nu $	γ
2.660	0.820(4)	4.55(3)	7.53(2)	3.69(1)	175.1(2.6)	62.0(0.9)	166.5(2.5)	531.3(8.0)	0.342	2.063
3.450	0.820(4)	4.57(3)	7.59(2)	3.82(1)	174.3(2.6)	66.6(0.9)	177.1(2.7)	549.1(8.2)	0.331	1.980
4.280	0.818(4)	4.59(3)	7.62(2)	3.91(1)	173.1(2.6)	70.0(1.1)	185.1(2.8)	562.0(8.4)	0.322	1.916
5.050	0.817(4)	4.61(3)	7.65(2)	3.98(1)	172.5(2.6)	73.0(1.1)	192.0(2.9)	573.0(8.6)	0.314	1.866
6.170	0.815(4)	4.64(3)	7.68(2)	4.07(1)	171.7(2.6)	76.7(1.2)	200.4(3.0)	586.0(8.8)	0.306	1.808
7.230	0.813(4)	4.67(3)	7.72(2)	4.14(1)	171.7(2.6)	79.9(1.2)	207.5(3.1)	596.8(8.9)	0.299	1.764
8.230	0.812(4)	4.70(3)	7.75(2)	4.19(1)	172.6(2.6)	82.5(1.2)	213.4(3.2)	605.4(9.1)	0.294	1.736
9.170	0.811(4)	4.72(3)	7.79(2)	4.23(1)	173.8(2.6)	84.3(1.3)	217.8(3.3)	611.5(9.2)	0.291	1.719
10.830	0.808(4)	4.76(3)	7.84(2)	4.27(1)	176.8(2.6)	86.9(1.3)	224.0(3.4)	619.7(9.3)	0.289	1.705

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表 2 Na_0.5K_0.5NbO₃与结构相似的压电材料的体积模量、剪切模量和杨氏模量的对比

Table 2. Comparison of volumetric modulus, shear modulus, and Young’s modulus of Na_0.5K_0.5NbO₃ and structurally similar piezoelectric materials

Sample	K₀/GPa	G₀/GPa	E₀/GPa	Ref.
Na_0.5K_0.5NbO₃	172.6	54.6	154.3	This work
Na_0.5K_0.5NbO₃	83.3	45.3	115.0	Ref. [30]
Na_0.5K_0.5NbO₃	127.7	47.2	126.0	Ref. [31]
C-KNbO₃	195.49	127.21	298.45	Ref. [23]
C-KNbO₃	147.33	102.37	249.36	Ref. [24]
O-KNbO₃	110.2	57.7	147.5	Ref. [25]
O-KNbO₃	173.62	82.76	181.97	Ref. [26]
O-KNbO₃	172.89	53.44	145.35	Ref. [27]
NaNbO₃	181.76	233.5	490.52	Ref. [28]
NaNbO₃	193.85	108.41	274.12	Ref. [29]

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