材料应力-应变的球形纳米压入法研究进展

doi:10.11896/cldb.18060052

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Abstract Stress-strain (σ-ε) relationship is the important guidance for materials design and development. The uniaxial tensile and compression testing are commonly used to obtain the σ-ε relationship of materials. However, suffered from the limitation of sample shape and size, these conventional approaches can hardly apply to the materials in micro/nano scale. Benefiting from the high resolutions of load and depth, instrumented nanoindentation based upon depth-sensoring technique has been widely used to extract mechanical properties (such as Young’s modulus, hardness, strain rate sensitivity exponent and creep parameters) at micro/nano scales. In recent years, researchers have developed novel protocols to extract σ-ε curves from load-depth (P-h) curves. Among these studies, the spherical indenter attract considerable attention as it possesses smooth and non-self-similar distribution of stress.
The major challenge for analyzing the spherical indentation lies in the three axial states of the material under the rigid indenter, and the heterogeneous distributions of stress and strain make the direct measurement difficult to realize. For the sake of simplifying the analysis, various definitions, such as indentation strain, representative stress and representative strain, are introduced. Moreover, there are diverse analysis approaches as well, which can be classified into the empirical physics method and the simulation analysis method according the analysis procedure.As regard to empirical physics method, the transition between P-h curve and σ-ε are conducted by defining represen-tative stress and representative strain of the primary indentation zone, which are equivalent to uniaxial flow stress and strain, respectively. This approach is simple and has been validated on a broad variety of materials, nevertheless, the results strongly depend on the reliable definition of corresponding physical quantities and exhibit great sensitivity to the precision of experimental measurement.Concerning the simulation analysis method, the indentation P-h curves are firstly obtained by simulation with a wide range of constitutive para-meter, and then a function is derived by the analysis of P-h curves and the constitutive equation, finally the σ-ε can be inversely determined from the experimental P-h. Obviously, the establishment of the function is critical for this method, and the commonly employed approaches consist of dimension analysis and curve fitting. However, the stability and applicability of these functions constitute the major bottlenecks that hinder their widespread applications. Very recently, thanks to the fast development of compu-ter science and technology, researchers adopt algorithms to screen constitutive parameter intelligently, achieving a good agreement between predicted data and experimental results. Such novel analysis has shown great potentials in measuring the mechanical properties of materials.
In summary, we offers a retrospection of the research efforts with respect to the extraction of σ-ε relationship from spherical nanoindentation from empirical physics and simulation analysis in this article. The basic concept and model, definitions of related physical quantities and establishment of these methods are summarized. Moreover, their merits and drawbacks are also discussed to provide experimental and guidance for the mechanical characterization at micro/nano scales.

Key words： stress-strain curve spherical indenter nanoindentation load-depth curve empirical physics method simulation analysis method

Published: 08 May 2019

CLC number:

TH140

Fund:This work was financially supported by the National Natural Science Foundation of China (11472080), China Academy of Launch Vehicle Technology and University Joint Innovation Fund (CALT201709).

About author:: Kehua Wang received his B.E. degree in Anhui University of Technology in July 2017. He is currently a graduate student in the School of Materials Science and Engineering, Southeast University. He is mainly engaged in the research of micro-nano mechanics and the mechanical properties of selective laser melting(SLM)titanium alloys with the guidance of Professor Chen Jian and Professor Sun Zhengming. Jian Chen received his B.E. degree and M.E. in Xi’an Jiaotong University in 2000 and 2003, and then received his Ph.D. degree at the University of Birmingham(UK) in 2008. FudeWang received his Ph.D. degree in Huazhong University of Science and Technology in 2000. He has over 15 years of research experience on additive manufacturing technology, and has published more than 30 peer reviewed journal papers. He began working on additive manufacturing technology in Oct. 2003 when he became a research fellow at the University of Birmingham (UK). Zhengming Sun received his B.S. at the Department of Materials Science and Engineering, Nanjing Institute of Technology (currently School of Materials Science and Engineering, Southeast University), his M.S. degree at Institute of Metal Research (IMR), CAS. He received his Ph.D. degree under a joint-degree program between the IMR, CAS, and the University of Vienna. Then, he served as a research associate at IMR.

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Cite this article:

WANG Kehua,CHEN Jian,WANG Fude, et al. Progress in Stress-Strain Relationship Using Spherical Nanoindentation[J]. Materials Reports, 2019, 33(9): 1490-1499.

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http://www.mater-rep.com/EN/10.11896/cldb.18060052 OR http://www.mater-rep.com/EN/Y2019/V33/I9/1490

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