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刘明

教授（高校）

机械工程及自动化学院

0000-0001-9987-9729

B-5333-2012

刘明，男，1985年6月出生。 2009/09-2012/12，美国肯塔基大学（University of Kentucky），化工与材料学院 (Department of Chemical and Materials Engineering)，博士； 2007/09-2009/08，哈尔滨工业大学，材料科学与工程学院，材料加工工程专业，硕士； 2003/09-2007/08，哈尔滨工业大学，材料科学与工程学院，材料成形及控制工程专业，本科； 2015/04-今，福州大学，机械工程及自动化学院，机械设计系，旗山学者； 2014/04-2015/04，美国华盛顿州立大学，机械与材料学院，博士后研究员； 2013/01-2013/12，法国巴黎高科矿业工程师学校材料研究所（Center des matériaux, Mines Paris Tech, France），博士后。 研究领域： 1）接触，摩擦和磨损；2）材料变形，疲劳及断裂；3）多物理场有限元分析；4）表面微观力学性能及压入划入测试方法

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Dowel-like morphology of Cu2Al3 enhances shear strength of interfacial layers in Cu-Al composites SCIE
期刊论文 | 2025 , 284 | ACTA MATERIALIA
Tian, Shuke | Zhao, Fan | Wu, Guilin | Liu, Ming | Godfrey, Andrew | Xie, Jianxin | Liu, Xinhua Unfold
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Abstract ：

Developing bimetallic interfaces with high interfacial bonding strength is important for metallic composites used under harsh service conditions. However, the formation of brittle intermetallic compounds is unavoidable for some interface combinations, resulting in a significant deterioration of bonding strength. In this work, we demonstrate the development of a Cu alloy/Al alloy interface with a shear strength of 126 +/- 15 MPa - a value almost twice that reported in previous studies. The exceptional interfacial bonding strength is attributed to a special interface structure, composed of brittle intermetallic compound layers connected internally by dowels of a metastable Cu2Al3 phase, achieved via alloy design and process control. During solid-liquid composite processing, a liquid diffusion layer forms at the interface between the Cu and Al alloys. A precursor Cu4Al7Ni phase then develops at the Cu side and transforms into a metastable Cu2Al3 phase with a banded structure. Finally, layers of Cu9Al4 and CuAl2 layers form, which are fully connected to the Cu2Al3 phase. The banded arrangement of the Cu2Al3 phase acts to block crack propagation and deflect cracks into the eutectic layer and Al alloy, resulting in an ultra-high interfacial bonding strength. This work demonstrates that high interfacial bonding strength can be achieved by tailoring the interface structure instead of by decreasing the interface thickness, and thus paves a new way for developing high-performance bimetallic interfaces.

Keyword ：

Bimetallic composite Bimetallic composite Cu2Al3 phase Cu2Al3 phase Cu9Al4/CuAl2interface Cu9Al4/CuAl2interface Interfacial bonding strength Interfacial bonding strength Intermetallic compounds Intermetallic compounds

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GB/T 7714 Tian, Shuke , Zhao, Fan , Wu, Guilin et al. Dowel-like morphology of Cu2Al3 enhances shear strength of interfacial layers in Cu-Al composites [J]. | ACTA MATERIALIA , 2025 , 284 .
MLA Tian, Shuke et al. "Dowel-like morphology of Cu2Al3 enhances shear strength of interfacial layers in Cu-Al composites" . | ACTA MATERIALIA 284 (2025) .
APA Tian, Shuke , Zhao, Fan , Wu, Guilin , Liu, Ming , Godfrey, Andrew , Xie, Jianxin et al. Dowel-like morphology of Cu2Al3 enhances shear strength of interfacial layers in Cu-Al composites . | ACTA MATERIALIA , 2025 , 284 .
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Flexible micro-supercapacitors from laser-induced graphene and gel polymer electrolytes SCIE
期刊论文 | 2025 , 105 | JOURNAL OF ENERGY STORAGE
Xu, Zhitong | Liu, Ming | Zhang, Yulin | Yang, Fuqian Unfold
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Abstract ：

The rapid progress in the development and implementation of smart electronics and flexible devices has stimulated the need to produce energy storage units of high efficiency at low cost. In this work, we use laser-induced graphene to construct in-plane micro-supercapacitors (mu -SCs) and delve into the effects of inter-finger spacing, finger width, deformation state, and temperature on the electrochemical performance of the mu -SCs with five different gel polymer electrolytes made from H2SO4, H3PO4, KOH, NaOH, and NaCl, respectively. The mu -SCs with the electrolyte from the PVA/H2SO4 gel polymer exhibit the best performance under bending and torsion. Increasing temperature causes a slight increase of the specific areal capacitance. Increasing the inter-finger spacing reduces the specific areal capacitance, and the finger width has a limited effect on the specific areal capacitance. The capacitance retention of the mu -SCs with the electrolyte from the PVA/H2SO4 gel polymer is 94.24 % of the initial capacitance after 10,000 electrochemical cycles at a scan rate of 0.1 V/s. The specific areal capacitance of integrated mu -SCs constructed from individual mu -SCs with the PVA/H2SO4 gel polymer is inversely proportional to the number of mu -SCs for the series connection and proportional to the number of mu -SCs for the parallel connection. This study provides a feasible method to produce flexible mu -SCs of high efficiency at low cost.

Keyword ：

Gel polymer electrolytes Gel polymer electrolytes In-plane micro-supercapacitor In-plane micro-supercapacitor Interdigital structure Interdigital structure Laser-induced graphene Laser-induced graphene

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GB/T 7714 Xu, Zhitong , Liu, Ming , Zhang, Yulin et al. Flexible micro-supercapacitors from laser-induced graphene and gel polymer electrolytes [J]. | JOURNAL OF ENERGY STORAGE , 2025 , 105 .
MLA Xu, Zhitong et al. "Flexible micro-supercapacitors from laser-induced graphene and gel polymer electrolytes" . | JOURNAL OF ENERGY STORAGE 105 (2025) .
APA Xu, Zhitong , Liu, Ming , Zhang, Yulin , Yang, Fuqian . Flexible micro-supercapacitors from laser-induced graphene and gel polymer electrolytes . | JOURNAL OF ENERGY STORAGE , 2025 , 105 .
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Micromechanical characterization of zirconia and silicon nitride ceramics using indentation and scratch methods EI
期刊论文 | 2024 , 50 (11) , 19982-20010 | Ceramics International
Liu, Ming | Chen, Shuai
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Abstract ：

Micromechanical characterization of brittle ceramics remains challenging due to the difficulty in sample preparation required by conventional tests. The micromechanical properties (e.g., elastic modulus EIT, indentation hardness HIT, and fracture toughness KIC) of ZrO2 and Si3N4 were investigated by indentation and scratch tests with different indenters (e.g., Vickers, Knoop, and Berkovich indenters) under various loads. The ratio of the true hardness by the Vickers indenter over that by the Knoop indenter is approximately a constant of 1.13 and independent of material. Elastic recovery of residual imprint by the Knoop indenter was also used to assess elastic modulus of ZrO2 and Si3N4, and modified equations were proposed. The length of Vickers indenter-induced cracking was found to be proportional to the applied load under large loads, and a modified formula for calculating fracture toughness was proposed for ZrO2 and Si3N4, which have relatively large fracture toughness of about 9 MPa⋅m1/2. The critical void volume fraction f* in the nanoindentation energy-based methods was found to linearly decrease with the exponent mf of the power-law equation used for curve fitting of the degradation of HIT or EIT with hmax. The determination of fracture toughness by scratch methodology was found to be affected by mechanical properties of material, indenter geometry, and data range. © 2024 Elsevier Ltd and Techna Group S.r.l.

Keyword ：

Brittle fracture Brittle fracture Ceramic materials Ceramic materials Curve fitting Curve fitting Ductile fracture Ductile fracture Elastic moduli Elastic moduli Fracture testing Fracture testing Fracture toughness Fracture toughness Hardness Hardness Indentation Indentation Silicon nitride Silicon nitride Void fraction Void fraction Weibull distribution Weibull distribution Zirconia Zirconia

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GB/T 7714 Liu, Ming , Chen, Shuai . Micromechanical characterization of zirconia and silicon nitride ceramics using indentation and scratch methods [J]. | Ceramics International , 2024 , 50 (11) : 19982-20010 .
MLA Liu, Ming et al. "Micromechanical characterization of zirconia and silicon nitride ceramics using indentation and scratch methods" . | Ceramics International 50 . 11 (2024) : 19982-20010 .
APA Liu, Ming , Chen, Shuai . Micromechanical characterization of zirconia and silicon nitride ceramics using indentation and scratch methods . | Ceramics International , 2024 , 50 (11) , 19982-20010 .
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表面变质层非等双轴残余应力的X射线/剥层测试与有限元矩阵修正
期刊论文 | 2024 , 48 (08) , 95-100 | 机械工程材料
张倩琪 | 许鑫鑫 | 张建伟 | 刘明 Unfold
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采用有限元模拟了剥层后渗碳+热处理+喷丸强化处理后18CrNiMo7-6合金钢表面变质层的残余应力，经试验验证后对其进行了有限元矩阵修正，研究了喷丸强化前后x和y方向残余应力分布，最后进行了有限元矩阵修正法的试验应用。结果表明：局部剥层后残余应力模拟值和测试值相对误差小于10%，证明模型准确；根据残余应力方向选择适用的修正矩阵后，平面非等双轴残余应力有限元矩阵修正值与初始值之间较接近；试验可得未喷丸试样表面变质层内存在近似等双轴残余应力，残余应力修正值与测试值相差不大，喷丸试样x和y方向残余应力间相差显著，表面变质层内存在非等双轴残余应力，残余应力修正值均小于测试值。

Keyword ：

剥层法 剥层法 有限元矩阵修正 有限元矩阵修正 表面变质层 表面变质层 非等双轴残余应力 非等双轴残余应力

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GB/T 7714 张倩琪 , 许鑫鑫 , 张建伟 et al. 表面变质层非等双轴残余应力的X射线/剥层测试与有限元矩阵修正 [J]. | 机械工程材料 , 2024 , 48 (08) : 95-100 .
MLA 张倩琪 et al. "表面变质层非等双轴残余应力的X射线/剥层测试与有限元矩阵修正" . | 机械工程材料 48 . 08 (2024) : 95-100 .
APA 张倩琪 , 许鑫鑫 , 张建伟 , 刘明 . 表面变质层非等双轴残余应力的X射线/剥层测试与有限元矩阵修正 . | 机械工程材料 , 2024 , 48 (08) , 95-100 .
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Characterization of elastic modulus and yield strength of metals by Knoop hardness EI CSCD PKU
期刊论文 | 2024 , 56 (4) , 108-119 | Journal of Harbin Institute of Technology
Liu, Ming | Xu, Zhitong | Wei, Hebao
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To characterize the elastic modulus and yield strength of metallic materials by Knoop hardness, the modified Marshall model and Conway model were proposed to characterize the elastic modulus, and the modified Lockett, Yu, Marsh, Johnson and Vandeperre models were proposed to characterize the yield strength, broadening the new application of Knoop hardness to the characterization of mechanical properties of metallic materials. Knoop hardness tests were carried out on 35 metals. The positive indentation size effect of Knoop hardness (hardness increases with the decrease in load) was analyzed by Meyer's law, elastic-plastic deformation (EPD) model, Hays-Kendall model, and proportional specimen resistance (PSR) model. It was found that the hardness under large loads can be approximated to be constant, and can be used to represent true hardness of the material. For the first time, the influence of pile-up around the short diagonal of Knoop indent was considered to modify Marshall model and Conway model as follows: the constant parameter α in the original Marshall model was modified as a quadratic function of b/d (the ratio of the short diagonal to the long diagonal of the residual Knoop imprint), and a correction coefficient β linearly increasing with the square of b/d was introduced to Conway model. By comparing the values of yield strength in the literature and those calculated by original models, a correction coefficient k was introduced to modify Lockett, Yu, Marsh, Johnson and Vandeperre models for the calculation of yield strength of metals for the first time. The results showed that except for Ti6Al4V and Sn, values of elastic modulus obtained from the modified models were consistent with those from instrumented indentation, with a confidence degree no less than 0. 94. Similarly, except for spring steel 60Si2Mn, values of yield strength obtained from the modified models were consistent with those in the literature, with a confidence degree no less than 0. 90. © 2024 Harbin Institute of Technology. All rights reserved.

Keyword ：

Aluminum alloys Aluminum alloys Elastic moduli Elastic moduli Elastoplasticity Elastoplasticity Manganese alloys Manganese alloys Piles Piles Silicon alloys Silicon alloys Ternary alloys Ternary alloys Titanium alloys Titanium alloys Vanadium alloys Vanadium alloys Wetlands Wetlands Yield stress Yield stress

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GB/T 7714 Liu, Ming , Xu, Zhitong , Wei, Hebao . Characterization of elastic modulus and yield strength of metals by Knoop hardness [J]. | Journal of Harbin Institute of Technology , 2024 , 56 (4) : 108-119 .
MLA Liu, Ming et al. "Characterization of elastic modulus and yield strength of metals by Knoop hardness" . | Journal of Harbin Institute of Technology 56 . 4 (2024) : 108-119 .
APA Liu, Ming , Xu, Zhitong , Wei, Hebao . Characterization of elastic modulus and yield strength of metals by Knoop hardness . | Journal of Harbin Institute of Technology , 2024 , 56 (4) , 108-119 .
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Size effect of nickel-based single crystal superalloy revealed by nanoindentation with low strain rates SCIE
期刊论文 | 2024 , 29 , 2437-2447 | JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T
Long, Xu | Shen, Ziyi | Li, Jiao | Dong, Ruipeng | Liu, Ming | Su, Yutai | Chen, Chuantong Unfold
WoS CC Cited Count： 5
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Abstract ：

Size effect of the nickel-based single crystal superalloy DD6 is investigated in this study by performing nanoindentation experiments and finite element (FE) simulations by emphasizing the strain rate effect. An analytical method is proposed to identify whether a material has the indentation size effect (ISE) based on incremental formulations of the indentation strain rate. By taking ISE as a critical factor, the contact area is further described by considering the curvature radius of non-ideal indenters due to wear issues in practice. In order to emphasize the strain rate effect during indentations, the material parameters dominating mechanical properties are adopted from the strain rate dependent Johnson-Cook model, particular for the nickel-based single crystal superalloy. Consequently, the dimensional ISE analysis is performed by proposing a theoretical framework to establish the relationship among the indentation strain rate, the indenter tip curvature radius and the applied load-penetration depth (P-h) curve for characterizing nanoindentation responses. By identifying the indenter curvature radii and loading time as the important external factors of hardness measurement, FE simulations are validated to achieve good agreement with experimental data. The validated FE predictions are reliably employed to calibrate the dimensionless model of hardness with different indenter curvature radii and loading rates. In the proposed form of the dimensional hardness model, it is found that the indenter curvature radius can be perfectly independent of the material constitutive properties and loading rates. It reveals the potential and advantageous determination of characteristic length of materials by using nanoindentation.

Keyword ：

Hardness Hardness Nanoindentation Nanoindentation Single crystal superalloy Single crystal superalloy Size effect Size effect Strain rate effect Strain rate effect

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GB/T 7714 Long, Xu , Shen, Ziyi , Li, Jiao et al. Size effect of nickel-based single crystal superalloy revealed by nanoindentation with low strain rates [J]. | JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T , 2024 , 29 : 2437-2447 .
MLA Long, Xu et al. "Size effect of nickel-based single crystal superalloy revealed by nanoindentation with low strain rates" . | JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T 29 (2024) : 2437-2447 .
APA Long, Xu , Shen, Ziyi , Li, Jiao , Dong, Ruipeng , Liu, Ming , Su, Yutai et al. Size effect of nickel-based single crystal superalloy revealed by nanoindentation with low strain rates . | JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T , 2024 , 29 , 2437-2447 .
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Micro/Nanomechanical Characterization of ScAlMgO4 Single Crystal by Instrumented Indentation and Scratch Methods Scopus
期刊论文 | 2024 , 17 (15) | Materials
Ni, Z. | Yu, J. | Chen, G. | Ji, M. | Qian, S. | Bian, D. | Liu, M. Unfold
SCOPUS Cited Count： 1
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ScAlMgO4 (SCAM), which can be used as an epitaxial substrate material of GaN in power devices, faces the challenge of achieving a high-quality surface by ultra-precision polishing due to its brittle and easily cleaved characteristics, which are closely associated with its mechanical properties. The micromechanical properties of SCAM single crystals were evaluated by nanoindentation and microscratch tests using different indenters. The elastic modulus EIT and the indentation hardness HIT of SCAM obtained by nanoindentation were 226 GPa and 12.1 GPa, respectively. Leaf-shaped chips and the associated step-like planes of SCAM can be found in the severely damaged regime during scratching by Berkovich and Vickers indenters with sharp edges due to the intersection of intense radial and lateral cracks. The fracture toughness (Kc = 1.12 MPa·m1/2) of SCAM can be obtained by using a scratch-based methodology for a spherical indenter based on linear elastic fracture mechanics (LEFM) under an appropriate range of applied loads. An optimal expression for calculating the fracture toughness of easily cleaved materials, including SCAM, via the Vickers indenter-induced cracking method using a Berkovich indenter was recommended. © 2024 by the authors.

Keyword ：

fracture toughness fracture toughness micromechanical properties micromechanical properties microscratch microscratch nanoindentation nanoindentation ScAlMgO4 single crystal ScAlMgO4 single crystal

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GB/T 7714 Ni, Z. , Yu, J. , Chen, G. et al. Micro/Nanomechanical Characterization of ScAlMgO4 Single Crystal by Instrumented Indentation and Scratch Methods [J]. | Materials , 2024 , 17 (15) .
MLA Ni, Z. et al. "Micro/Nanomechanical Characterization of ScAlMgO4 Single Crystal by Instrumented Indentation and Scratch Methods" . | Materials 17 . 15 (2024) .
APA Ni, Z. , Yu, J. , Chen, G. , Ji, M. , Qian, S. , Bian, D. et al. Micro/Nanomechanical Characterization of ScAlMgO4 Single Crystal by Instrumented Indentation and Scratch Methods . | Materials , 2024 , 17 (15) .
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Enhanced wear resistance in (CoCrNi)94Al3Ti3 medium-entropy alloy at high temperatures via nano-Al2O3 reinforcing phase EI
期刊论文 | 2024 , 195 | Tribology International
Yu, Kaixuan | Cheng, Jun | Cheng, Qianqian | Geng, Yushan | Zhu, Shengyu | Liu, Ming | Wan, Shanhong | Yang, Jun Unfold
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High-entropy or medium-entropy alloys are emerging as promising materials for high-temperature applications due to exceptional properties. In this study, the nano Al2O3 reinforced (CoCrNi)94Al3Ti3 medium-entropy alloy (MEA) composites were prepared using spark plasma sintering (SPS). The nanohardness (7.0 GPa) and elastic modulus (255.3 GPa) of (CoCrNi)94Al3Ti3-2 wt% Al2O3 (2AMEA) are notably higher than MEA, reducing the wear rate by about 50% at 25 and 400 °C compared to the MEA. Meanwhile, 2AMEA forms a continuous strip-like oxide glaze tribo-layer at 800 °C, porviding excellent antioxidative and tribological properties. This study proved the feasibility of enhancing high-temperature wear resistance of medium-entropy alloy via nano-Al2O3. © 2024 Elsevier Ltd

Keyword ：

Alumina Alumina Aluminum alloys Aluminum alloys Aluminum oxide Aluminum oxide Cobalt alloys Cobalt alloys Entropy Entropy High-entropy alloys High-entropy alloys High temperature applications High temperature applications Reinforcement Reinforcement Spark plasma sintering Spark plasma sintering Tribology Tribology Wear of materials Wear of materials Wear resistance Wear resistance

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GB/T 7714 Yu, Kaixuan , Cheng, Jun , Cheng, Qianqian et al. Enhanced wear resistance in (CoCrNi)94Al3Ti3 medium-entropy alloy at high temperatures via nano-Al2O3 reinforcing phase [J]. | Tribology International , 2024 , 195 .
MLA Yu, Kaixuan et al. "Enhanced wear resistance in (CoCrNi)94Al3Ti3 medium-entropy alloy at high temperatures via nano-Al2O3 reinforcing phase" . | Tribology International 195 (2024) .
APA Yu, Kaixuan , Cheng, Jun , Cheng, Qianqian , Geng, Yushan , Zhu, Shengyu , Liu, Ming et al. Enhanced wear resistance in (CoCrNi)94Al3Ti3 medium-entropy alloy at high temperatures via nano-Al2O3 reinforcing phase . | Tribology International , 2024 , 195 .
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Indentation fracture of 4H-SiC single crystal SCIE
期刊论文 | 2024 , 270 | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Hou, Dongyang | Liu, Ming | Liu, Sheng | Yang, Fuqian Unfold
WoS CC Cited Count： 15
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Abstract ：

Understanding the deformation and fracture behavior of single crystal silicon carbide (SiC) under a single particle is of scientific and practical importance for the micromachining of single crystal SiC. In this work, we investigate the indentation fracture of a 4H-SiC single crystal wafer with the indentation direction perpendicular to (0001) plane, using Berkovich, Vickers, and Knoop indenters. All the indentations create radial cracks for the normal loads used in this work. Both the Vickers and Knoop hardness tests produce lateral cracks. The fracture toughness calculated from the Vickers hardness tests is smaller than the ones calculated from the Knoop hardness tests and the Berkovich indentations under large indentation loads. The fracture toughness of 4H-SiC single crystal decreases with the increase of the indentation load under small indentation loads for the Berkovich indentations, revealing the phenomenon of surface hardening. The surface energy calculated from the radial cracks is comparable to the results reported in the literature. We establish an analytical expression of the total energy dissipation of a single indentation cycle, including the contribution of indentation-induced cracking, which offers an approach to calculate the ratio of the energy dissipation due to cracking to the energy dissipation due to plastic deformation and determine the dominant deformation process controlling the indentation deformation. The analysis of the energy dissipation for the indentations of the 4H-SiC single crystal by the Berkovich indenter reveals that the energy dissipation from the indentation-induced cracking is significantly larger than (more than eight times) that from plastic deformation for the indentation loads larger than 75 mN.

Keyword ：

4H-SiC single crystal 4H-SiC single crystal Deformation and cracking Deformation and cracking Energy dissipation Energy dissipation Fracture toughness Fracture toughness Indentation and hardness Indentation and hardness Mechanical properties Mechanical properties

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GB/T 7714 Hou, Dongyang , Liu, Ming , Liu, Sheng et al. Indentation fracture of 4H-SiC single crystal [J]. | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES , 2024 , 270 .
MLA Hou, Dongyang et al. "Indentation fracture of 4H-SiC single crystal" . | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES 270 (2024) .
APA Hou, Dongyang , Liu, Ming , Liu, Sheng , Yang, Fuqian . Indentation fracture of 4H-SiC single crystal . | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES , 2024 , 270 .
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利用努氏硬度表征金属的弹性模量和屈服强度 CSCD PKU
期刊论文 | 2024 , 56 (04) , 108-119 | 哈尔滨工业大学学报
刘明 | 徐智通 | 尉贺宝
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Abstract ：

为利用努氏硬度表征金属材料弹性模量和屈服强度，提出了Marshall和Conway的修正模型表征弹性模量，以及Lockett、Yu、Marsh、Johnson和Vandeperre的修正模型表征屈服强度，开拓了努氏硬度表征金属材料力学性能的新应用。选取35种金属进行努氏硬度试验，利用Meyer定律、弹塑性变形模型、Hays-Kendall模型和比例试样模型对努氏硬度的正压痕尺寸效应(硬度随载荷的减小而增大)进行了分析，可以用大载荷下趋于稳定的硬度值代表材料的真硬度。首次考虑金属材料在努氏压痕短对角线处材料堆积的影响，Marshall模型和Conway模型进行了修正：Marshall模型中原有的常参数α修正为b/d(努氏压痕短对角线与长对角线的比值)的二次函数；Conway模型引入了与b/d的平方呈线性关系修正系数β。通过比较文献中与原模型计算的屈服强度，引入修正系数k,首次获得了基于努氏硬度利用Lockett、Yu、Marsh、Johnson和Vandeperre模型计算金属屈服强度的修正模型。结果表明：除Ti6Al4V和Sn外，修正模型与仪器化压入得到的弹性模量一致，置信度不低于0.94;除60Si2Mn弹簧钢外，修正后得到的屈服强度与文献值一致，置信度不低于0.90。

Keyword ：

仪器化压入 仪器化压入 努氏硬度 努氏硬度 屈服强度 屈服强度 弹性模量 弹性模量 金属 金属

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GB/T 7714 刘明 , 徐智通 , 尉贺宝 . 利用努氏硬度表征金属的弹性模量和屈服强度 [J]. | 哈尔滨工业大学学报 , 2024 , 56 (04) : 108-119 .
MLA 刘明 et al. "利用努氏硬度表征金属的弹性模量和屈服强度" . | 哈尔滨工业大学学报 56 . 04 (2024) : 108-119 .
APA 刘明 , 徐智通 , 尉贺宝 . 利用努氏硬度表征金属的弹性模量和屈服强度 . | 哈尔滨工业大学学报 , 2024 , 56 (04) , 108-119 .
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