A hardness equation for sharp indentation of elastic-power-law strain-hardening materials

Mata, M.; Anglada, M.; Alcalá, Jorge

doi:10.1080/01418610208235694

Cited by 33 publications

(12 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In a number of earlier performed works (e.g., [3][4][5][6]), it was shown that for ceramic materials the Tabor parameter C approaches 1 as in the present work.…”

Section: Experimental Check Of the Values Of The Tabor Parameter с = supporting

confidence: 48%

“…In accordance with [10,21], the mean plastic strain on the contact area of the indenter and specimen ε p in the direction of the force P applied to the indenter was calculated by Equation (5), the elastic strain ε E , corresponding to the elastic deflection component of the specimen surface, was computed by (6), and the total strain ε t was calculated by (7)…”

Section: Theoretical Background Scheme and Equations Of The Improvedmentioning

confidence: 99%

“…Only at C > 2.6, materials have substantial macroscopic plasticity in tensile tests. 6. A very simple technique of determination of the Tabor parameter C = HM/Y S and yield strength Y S from results of standard indentation has been proposed.…”

Section: Experimental Check Of the Values Of The Tabor Parameter с = mentioning

confidence: 99%

“…Thereafter, the concept of the inclusion core model was checked and investigated in many works (see, e.g., [5][6][7][8][9]). In [10], executed with the participation of several authors of this article, Johnson's model has been improved to describe the process of continuous indentation, in which not only the sample, but also the indenter undergoes elastic-plastic deformation.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Application of the Improved Inclusion Core Model of the Indentation Process for the Determination of Mechanical Properties of Materials

et al. 2017

View full text Add to dashboard Cite

Abstract:The improved Johnson inclusion core model of indentation by conical and pyramidal indenters in which indenter is elastically deformed and a specimen is elastoplastically deformed under von Mises yield condition, was used for determination of mechanical properties of materials with different types of interatomic bond and different crystalline structures. This model enables us to determine approximately the Tabor parameter C = HM/Y S (where HM is the Meyer hardness and Y S is the yield stress of the specimen), size of the elastoplastic zone in the specimen, effective apex angle of the indenter under load, and effective angle of the indent after unloading. It was shown that the Tabor parameter and the size of elastoplastic deformation zone increase monotonically with the increase of the plasticity characteristic δ H , which is determined in indentation experiments using the early elaborated by the several authors of this article method. The corresponding analytical dependencies were obtained and their physical nature is discussed. For the materials studied in this work, the Tabor parameter ranges from 1 to 4. At the same time, for structural metallic alloys its value is between 2.8 and 3.1 in agreement with the results obtained by Tabor. A very simple technique developed in this article allows one to determine from the standard indentation test not only the hardness of a material but also its yield stress and plasticity. This makes the indentation test results significantly more informative.

show abstract

“…In a number of earlier performed works (e.g., [3][4][5][6]), it was shown that for ceramic materials the Tabor parameter C approaches 1 as in the present work.…”

Section: Experimental Check Of the Values Of The Tabor Parameter с = supporting

confidence: 48%

Section: Theoretical Background Scheme and Equations Of The Improvedmentioning

confidence: 99%

Section: Experimental Check Of the Values Of The Tabor Parameter с = mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Application of the Improved Inclusion Core Model of the Indentation Process for the Determination of Mechanical Properties of Materials

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Alternatively, extensive finite element simulations for polycrystalline aggregates performed through the J 2 -flow plasticity theory (assuming isotropic elasticity and isotropic hardening with the Von Mises yield surface), in conjunction with dimensional analyses and contact mechanics formulations, have been used to gain a profound understanding of the relationships between relevant contact variables and mechanical properties (e.g., Refs. [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. These works have led to the development of self-consistent methodologies, where the entire P-h s curve is used to extract yield strength s ys and hardening coefficient n in addition to hardness p and Young's modulus E. The experimental fluctuations in the measurement of the P-h s curves, as well as the large sensitivity of the mechanical properties to slight variations in the contact parameters, however, appear to be the main obstacles in the application of these methodologies.…”

Section: Introductionmentioning

confidence: 99%

The role of crystalline anisotropy in mechanical property extractions through Berkovich indentation

2009

Self Cite

View full text Add to dashboard Cite

This work uses crystal plasticity finite element simulations to elucidate the role of elastoplastic anisotropy in instrumented indentation P-h s curve measurements in face-centered cubic (fcc) crystals. It is shown that although the experimental fluctuations in the loading stage of the P-h s curves can be attributed to anisotropy, the variability in the unloading stage of the experiments is much greater than that resulting from anisotropy alone. Moreover, it is found that the conventional procedure used to evaluate the contact variables ruling the unloading P-h s curve introduces an uncertainty that approximates to the more fundamental influence of anisotropy. In view of these results, a robust procedure is proposed that uses contact area measurements in addition to the P-h s curves to extract homogenized J 2 -plasticity-equivalent mechanical properties from single crystals.

show abstract

Deformation and Hardness of UHTCs as a Function of Temperature

Wang

Vandeperre

2014

Ultra‐High Temperature Ceramics

View full text Add to dashboard Cite

A hardness equation for sharp indentation of elastic-power-law strain-hardening materials

Cited by 33 publications

References 9 publications

Application of the Improved Inclusion Core Model of the Indentation Process for the Determination of Mechanical Properties of Materials

Application of the Improved Inclusion Core Model of the Indentation Process for the Determination of Mechanical Properties of Materials

The role of crystalline anisotropy in mechanical property extractions through Berkovich indentation

Deformation and Hardness of UHTCs as a Function of Temperature

Contact Info

Product

Resources

About