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Research Article Issue
Load Effect of Vickers Hardness Test on Advanced Ceramics and Three Typical Indentations
Journal of the Chinese Ceramic Society 2025, 53(12): 3674-3683
Published: 16 October 2025
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Introduction

Hardness testing is crucial for evaluating the mechanical properties of ceramics, especially in applications involving wear and scratch resistance. The widely used Vickers hardness test is often affected by an indentation size effect (ISE), resulting in hardness values deviating from their true values under lower loads. Moreover, significant discrepancies in hardness values obtained between the Vickers hardness testers and micro-/nano-indentation instruments at low loads for identical samples persistently cause a confusion. The conventional theories presume that the ceramic materials’ indentation dimensions remain unaltered before and after unloading. However, these dimensions often exhibit variations in practice. The existing models and methodologies fail to universally accommodate diverse materials, making it essential to clarify these issues for the accurate assessment of ceramic material hardness. This study was to explore the origins of the Indentation Size Effect (ISE) and the patterns of indentation deformation via comparing the Vickers hardness data with micro-/nano-indentation results under varying loads, thereby furnishing a theoretical foundation for the standardization of ceramic hardness testing.

Methods

Three representative ceramic materials (i.e., Al2O3, ZrO2, and (Hf0.5Zr0.5)C) were investigated to evaluate their load-dependent mechanical responses. After being sequentially sectioned, ground, and polished, the specimens were subjected to a series of Vickers hardness tests at different loads. The Vickers hardness values were determined via optically measuring the diagonal dimensions of residual indentations using a metallographic microscope. Simultaneously, micro-/nano-indentation tests were performed by a nanoindenter equipped with a Vickers indenter. The pre-unloading hardness values were calculated based on the changes in depth after loading. Subsequently, the post-unloading hardness values were obtained via measuring the indentation sizes after unloading using scanning electron microscopy (SEM). Through a comprehensive analysis of the variations in indentation sizes before and after unloading, this study could elucidate the characteristics of load-dependent mechanical responses in those ceramic materials.

Results and discussion

The three ceramic specimens display pronounced load-dependent characteristics according to the Vickers hardness data. Three specimens exhibit significant hardness declines in a low-load regime (i.e., decreased by 3 4.44% for Al2O3, decreased by 22.85% for ZrO2, and decreased by 29.44% for (Hf0.5Zr0.5)C), and stabilize at characteristic plateau values (i.e.,15.6 GPa, 12.9 GPa, and 18.6 GPa, respectively) beyond critical threshold loads (i.e., 3–5 N) as the load increases. This behavior is attributed to the predominance of elastic recovery mechanisms during low-load indentation, which results in measured values that exceed the true hardness of the materials. As the load further increases, the plastic deformation becomes a dominant mechanism, leading to stabilized indentation dimensions and hardness values that more accurately reflect the intrinsic properties of the ceramics.

A comparative study is conducted to evaluate the pre-unloading hardness values derived from depth changes during loading and the post-unloading hardness values calculated from residual indentation dimensions as using the micro-/nano-indentation system. This investigation reveals three distinct types of indentation behavior among the materials tested. For Al2O3, the Vickers hardness tester obtains significantly higher results than the micro-/nano-indentation tester at low loads. This discrepancy is since the indentation diagonal exhibits a rebound pattern after unloading, resulting in a minimal residual deformation and consequently an overestimated hardness value. In contrast, ZrO2 demonstrates the opposite trend. Ceramic materials exhibit a localized microplastic deformation at indentation edges. For ZrO2 under low loads, the phase transformation-induced expansion at an indentation periphery creates an extrusion effect, increasing residual indentation dimensions and resulting in extrusion-type morphology. The results of Vickers hardness values measured by the tester that are lower than those obtained from micro-/nano-indentation tests. For (Hf0.5Zr0.5)C, a stress is alleviated due to the formation of micro-cracks around the indentation. Since there is no significant change in indentation size after unloading, the testing methods both yield comparable hardness results.

A further analysis indicates that minor deviations in indentation size (Δd) have a significant effect on the low-load hardness calculations. For instance, in the case of ZrO2 at a load of 0.01 N, a small Δd of only 0.24 μm can lead to a relative error of 20%, due to the extremely small indentation size of 1.20 μm, which results in a substantial 57% deviation in hardness measurements. The critical load is the threshold above, which the plastic deformation dominates and elastic recovery is negligible, leading to stable test results. The differences between the results by the Vickers hardness testers and by the micro-/nano-indentation testers can be attributed to several factors, i.e., a) indenter precision: Nano-indenters have sharper tips, allowing for more accurate contact area calculations at low loads; b) load range: Nano-indenters are designed for ultralow loads (< 1 N), but are more prone to ISE. The Vickers testers require loads of 5 N or greater to minimize errors; and c) test objective: Nano-indentation primarily reflects the properties of individual grains, while Vickers testing reflects a combined response of multiple grains and their grain boundaries. These factors contribute to the differences in hardness results obtained from the two testing methods, highlighting the importance of choosing an appropriate technique based on the specific material characteristics and testing goals.

Conclusions

For reliable mechanical characterization of advanced ceramics, an empirical minimum applied load of 5 N was established as a critical threshold in Vickers hardness testing. This threshold was essential for eliminating load-dependent artifacts and ensuring the reproducibility of measurements. This protocol effectively suppressed elastic recovery contributions to indentation work, obtaining the hardness values that accurately reflected a bulk plastic deformation behavior. Three distinct indentation morphologies were categorized based on the systematic analysis of dimensional recovery characteristics, a) stable type: This could align with conventional assumptions regarding indentation behavior; b) rebound type: This morphology resulted in higher Vickers hardness values due to the rebound effect during unloading; and c) extrusion type: This morphology resulted in lower Vickers hardness values. At low loads, elastic deformation could dominate, while plastic deformation could remain minimal. This scenario caused the calculated hardness that was greater than the true value. As the load further increased, the irreversible residual indentation size became significantly larger than the minor elastic recovery deformation, leading to a stabilization of the calculated hardness value. This phenomenon could be a primary reason for the load effects obtained in hardness testing.

Open Access Research Article Issue
Stabilizing high-entropy MAX phases by incorporating tin
Journal of Advanced Ceramics 2025, 14(2): 9221028
Published: 26 February 2025
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High-entropy nanolaminated materials, referred to as MAX phases, have exceptional potential in various fields, including physics, mechanics, and energy storage, owing to their diverse compositions and outstanding properties. However, synthesizing stable high-entropy phases presents significant challenges because of the considerable differences in the physical and chemical properties of complex elements. In this study, we added low-melting-point metal tin (Sn) as an additive to facilitate the formation of solid solutions. The cohesion energy and formation enthalpy of the Sn-containing system are negative, which maintains the thermodynamic stability of the system, and the incorporation of Sn decreases the mixing enthalpy of the target high-entropy MAX phase and inhibits the formation of competing phases. The addition of Sn increases the lattice parameter and improves the structural stability by increasing the lattice distortion of octahedral M6X and prism M6A, which facilitates the successful synthesis of single-phase high-entropy MAX bulk materials. In addition, the high-entropy MAX phases with added Sn retain good mechanical and physical properties. This study provides a novel approach for the synthesis and application of high-entropy MAX phase materials, which has the potential to contribute to advancements in multiple technological fields.

Open Access Research Article Issue
Synthesis and characterization of high entropy (TiVNbTaM)2AlC (M = Zr, Hf) ceramics
Journal of Advanced Ceramics 2024, 13(2): 237-246
Published: 30 January 2024
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The high-entropy design of MAX phases is expected to confer superior properties, but its study was hindered by the complex synthesis method and limited purity of samples. In this work, two noteworthy types of high-entropy MAX phase structural ceramics, high-entropy (TiVNbTaM)2AlC (M = Zr, Hf), were designed and prepared by the in-situ synthesis using spark plasma sintering (SPS). The microstructure and lattice parameters of sintered samples were determined. Compared with the single-component MAX phases, the highly pure high-entropy (TiVNbTaZr)2AlC sample had good physical and mechanical properties, including electrical conductivity of 0.96×106 Ω−1·m−1, thermal expansion coefficient of 3.65×10−6 K−1, thermal conductivity of 8.98 W·m−1·K−1, Vickers hardness of 9.80 GPa, flexural strength of 507 MPa, fracture toughness of 5.62 MPa·m1/2, and compressive strength of 1364 MPa, which exhibited the remarkable hardening-strengthening effect.

Open Access Research Article Issue
Hot forging Nb4AlC3 ceramics with enhanced properties
Journal of Advanced Ceramics 2023, 12(11): 2032-2040
Published: 29 November 2023
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Textured Nb4AlC3 ceramics were rapidly and efficiently prepared by hot forging through spark plasma sintering (SPS). The longitudinal compression ratio of textured Nb4AlC3 ceramics was −78.3%, and the lateral expansion ratio was 32.1%. The grains grew preferentially along the direction perpendicular to the c-axis, forming the texture microstructure. The Lotgering orientation factor f(00l) was calculated to be 0.63. The thermal conductivity of textured Nb4AlC3 ceramics along the c-axis direction (11.23 W·m−1·K−1) (25 ℃) was lower than that of untextured ceramics (13.75 W·m−1·K−1) (25 ℃). The electrical conductivity perpendicular to the c-axis direction reached 4.37×106 S·m−1 at room temperature. The ordered layered grains increased the resistance of crack propagation, resulting in a higher fracture toughness parallel to the c-axis direction (9.41 MPa·m1/2), which was higher than that of untextured ceramics (6.88 MPa·m1/2). The Vickers hardness tested at 10 N on the texture top surface (7.18 GPa) was higher than that on the texture side surface (6.45 GPa).

Open Access Research Article Issue
Zr2SeB and Hf2SeB: Two new MAB phase compounds with the Cr2AlC-type MAX phase (211 phase) crystal structures
Journal of Advanced Ceramics 2022, 11(11): 1764-1776
Published: 05 November 2022
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The ternary or quaternary layered compounds called MAB phases are frequently mentioned recently together with the well-known MAX phases. However, MAB phases are generally referred to layered transition metal borides, while MAX phases are layered transition metal carbides and nitrides with different types of crystal structure although they share the common nano-laminated structure characteristics. In order to prove that MAB phases can share the same type of crystal structure with MAX phases and extend the composition window of MAX phases from carbides and nitrides to borides, two new MAB phase compounds Zr2SeB and Hf2SeB with the Cr2AlC-type MAX phase (211 phase) crystal structure were discovered by a combination of first-principles calculations and experimental verification in this work. First-principles calculations predicted the stability and lattice parameters of the two new MAB phase compounds Zr2SeB and Hf2SeB. Then they were successfully synthesized by using a thermal explosion method in a spark plasma sintering (SPS) furnace. The crystal structures of Zr2SeB and Hf2SeB were determined by a combination of the X-ray diffraction (XRD), scanning electron microscopy (SEM), and high-resolution transmission electron microscopy (HRTEM). The lattice parameters of Zr2SeB and Hf2SeB are a = 3.64398 Å, c = 12.63223 Å and a = 3.52280 Å, c = 12.47804 Å, respectively. And the atomic positions are M at 4f (1/3, 2/3, 0.60288 [Zr] or 0.59889 [Hf]), Se at 2c (1/3, 2/3, 1/4), and B at 2a (0, 0, 0). And the atomic stacking sequences follow those of the Cr2AlC-type MAX phases. This work opens up the composition window for the MAB phases and MAX phases and will trigger the interests of material scientists and physicists to explore new compounds and properties in this new family of materials.

Open Access Research Article Issue
Synthesis and property characterization of ternary laminar Zr2SB ceramic
Journal of Advanced Ceramics 2022, 11(5): 825-833
Published: 02 April 2022
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In this paper, Zr2SB ceramic with purity of 82.95 wt% (containing 8.96 wt% ZrB2 and 8.09 wt% zirconium) and high relative density (99.03%) was successfully synthesized from ZrH2, sublimated sulfur, and boron powders by spark plasma sintering (SPS) at 1300 ℃. The reaction process, microstructure, and physical and mechanical properties of Zr2SB ceramic were systematically studied. The results show that the optimum molar ratio to synthesize Zr2SB is n(ZrH2):n(S):n(B) = 1.4:1.6:0.7. The average grain size of Zr2SB is 12.46 μm in length and 5.12 μm in width, and the mean grain sizes of ZrB2 and zirconium impurities are about 300 nm. In terms of physical properties, the measured thermal expansion coefficient (TEC) is 7.64×10−6 K−1 from room temperature to 1200 ℃, and the thermal capacity and thermal conductivity at room temperature are 0.39 J·g−1·K−1 and 12.01 W∙m−1∙K−1, respectively. The room temperature electrical conductivity of Zr2SB ceramic is measured to be 1.74×106 Ω−1∙m−1. In terms of mechanical properties, Vickers hardness is 9.86±0.63 GPa under 200 N load, and the measured flexural strength, fracture toughness, and compressive strength are 269±12.7 MPa, 3.94±0.63 MPa·m1/2, and 2166.74±291.34 MPa, respectively.

Open Access Research Article Issue
Synthesis, microstructure, and properties of high purity Mo2TiAlC2 ceramics fabricated by spark plasma sintering
Journal of Advanced Ceramics 2020, 9(6): 759-768
Published: 23 December 2020
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The synthesis, microstructure, and properties of high purity dense bulk Mo2TiAlC2 ceramics were studied. High purity Mo2TiAlC2 powder was synthesized at 1873 K starting from Mo, Ti, Al, and graphite powders with a molar ratio of 2:1:1.25:2. The synthesis mechanism of Mo2TiAlC2 was explored by analyzing the compositions of samples sintered at different temperatures. It was found that the Mo2TiAlC2 phase was formed from the reaction among Mo3Al2C, Mo2C, TiC, and C. Dense Mo2TiAlC2 bulk sample was prepared by spark plasma sintering (SPS) at 1673 K under a pressure of 40 MPa. The relative density of the dense sample was 98.3%. The mean grain size was 3.5 μm in length and 1.5 μm in width. The typical layered structure could be clearly observed. The electrical conductivity of Mo2TiAlC2 ceramic measured at the temperature range of 2-300 K decreased from 0.95 × 106 to 0.77 × 106 Ω-1·m-1. Thermal conductivity measured at the temperature range of 300-1273 K decreased from 8.0 to 6.4 W·(m·K)-1. The thermal expansion coefficient (TEC) of Mo2TiAlC2 measured at the temperature of 350-1100 K was calculated as 9.0 × 10-6 K-1. Additionally, the layered structure and fine grain size benefited for excellent mechanical properties of low intrinsic Vickers hardness of 5.2 GPa, high flexural strength of 407.9 MPa, high fracture toughness of 6.5 MPa·m1/2, and high compressive strength of 1079 MPa. Even at the indentation load of 300 N, the residual flexural strength could hold 84% of the value of undamaged one, indicating remarkable damage tolerance. Furthermore, it was confirmed that Mo2TiAlC2 ceramic had a good oxidation resistance below 1200 K in the air.

Open Access Research Article Issue
Theoretical prediction, synthesis, and crystal structure determination of new MAX phase compound V2SnC
Journal of Advanced Ceramics 2020, 9(4): 481-492
Published: 27 July 2020
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Guided by the theoretical prediction, a new MAX phase V2SnC was synthesized experimentally for the first time by reaction of V, Sn, and C mixtures at 1000 ℃. The chemical composition and crystal structure of this new compound were identified by the cross-check combination of first-principles calculations, X-ray diffraction (XRD), energy dispersive X-ray spectroscopy (EDS), and high resolution scanning transmission electron microscopy (HR-STEM). The stacking sequence of V2C and Sn layers results in a crystal structure of space group P63/mmc. The a- and c-lattice parameters, which were determined by the Rietveld analysis of powder XRD pattern, are 0.2981(0) nm and 1.3470(6) nm, respectively. The atomic positions are V at 4f (1/3, 2/3, 0.0776(5)), Sn at 2d (2/3, 1/3, 1/4), and C at 2a (0, 0, 0). A new set of XRD data of V2SnC was also obtained. Theoretical calculations suggest that this new compound is stable with negative formation energy and formation enthalpy, satisfied Born-Huang criteria of mechanical stability, and positive phonon branches over the Brillouin zone. It also has low shear deformation resistance c44 (second-order elastic constant, cij) and shear modulus (G), positive Cauchy pressure, and low Pugh’s ratio (G/B = 0.500 < 0.571), which is regarded as a quasi-ductile MAX phase. The mechanism underpinning the quasi-ductility is associated with the presence of a metallic bond.

Open Access Research Article Issue
Cold Hydrostatic Sintering: From shaping to 3D printing
Journal of Materiomics 2019, 5(3): 496-501
Published: 28 February 2019
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We developed a novel consolidation technique, Cold Hydrostatic Sintering (CHS), which allows near full densification of silica. The technique is inspired by biosilicification and geological formation of siliceous rocks. Unlike established cold sintering method which is based on uniaxial pressure, CHS employs an isostatic pressure to enable room temperature consolidation of bulks having a complex three-dimensional shape. The resulting material is transparent (in line transmittance exceeding 70% in the visible range) and amorphous. After drying, the Vickers hardness was as high 1.4 GPa which half of materials consolidated at 1200 ℃ and it is the highest among all materials processed at room temperature. The CHS method, because of its simplicity, might be suitable for broad range of applications including 3D printing, mould forming and preparation of multi-layered devices. Because of the absence of the firing step, CHS could be directly integrated in the manufacturing of a wide range of hybrid (organic/inorganic) materials for functional and biological applications.

Open Access Research Article Issue
Effect of texture microstructure on tribological properties of tailored Ti3AlC2 ceramic
Journal of Advanced Ceramics 2017, 6(2): 120-128
Published: 03 June 2017
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Tribological property of c-axis textured shell-like Ti3AlC2 ceramic was investigated using reciprocating sliding balls (SUS304) under loads of 1, 5, and 9 N. It was found that the textured top surface (TTS), corresponding to the (000l) plane, shows the lowest mean coefficient of friction in comparison with those measured on the textured side surface (TSS), where the sliding directions are parallel (TSS-1) and perpendicular (TSS-2) to c axis, under the same load. Among all the tested orientations, the TSS-2 exhibited the lowest wear rate of 1.51×10-3 mm3/(N·m) under the load of 9 N. The worn mechanisms on the TTS and TSS-1 were delamination, grain fracture, and grain spalling-off. On the TSS-2, plowing effect against balls was the dominating mechanism. This work suggests the criteria to maximize the wear resistance in the load range of 1-9 N.

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