Semi-inverse method for predicting stress–strain relationship from cone indentations

DiCarlo, Anthony A.; Yang, Henry T. Y.; Chandrasekar, Srinivasan

doi:10.1557/jmr.2003.0291

Cited by 26 publications

(16 citation statements)

References 13 publications

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“…They suggested that the number of the indenters with different apex angles should equal the number of unknown constants in the constitutive model. Several variations of the multiple indenter approach using conical or pyramidal indenters have also appeared in the literature [174][175][176].…”

Section: Probing Stress-strain Relationshipsmentioning

confidence: 99%

Scaling, dimensional analysis, and indentation measurements

Cheng

2004

Materials Science and Engineering: R: Reports

935

512

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We provide an overview of the basic concepts of scaling and dimensional analysis, followed by a review of some of the recent work on applying these concepts to modeling instrumented indentation measurements. Specifically, we examine conical and pyramidal indentation in elastic-plastic solids with power-law workhardening, in power-law creep solids, and in linear viscoelastic materials. We show that the scaling approach to indentation modeling provides new insights into several basic questions in instrumented indentation, including, what information is contained in the indentation load-displacement curves? How does hardness depend on the mechanical properties and indenter geometry? What are the factors determining piling-up and sinking-in of surface profiles around indents? Can stress-strain relationships be obtained from indentation load-displacement curves? How to measure time dependent mechanical properties from indentation? How to detect or confirm indentation size effects? The scaling approach also helps organize knowledge and provides a framework for bridging micro-and macroscales. We hope that this review will accomplish two purposes: (1) introducing the basic concepts of scaling and dimensional analysis to materials scientists and engineers, and (2) providing a better understanding of instrumented indentation measurements. # 2004 Published by Elsevier B.V.

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Section: Probing Stress-strain Relationshipsmentioning

confidence: 99%

Scaling, dimensional analysis, and indentation measurements

Cheng

2004

Materials Science and Engineering: R: Reports

935

512

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“…The dual indentation strategy we develop is of the same vain as other multiple indenter approaches recently proposed for elasto-plastic cohesive materials (with or without strain hardening) using conical or pyramidal indenters (Futakawa et al, 2001;Bucaille et al, 2003;Chollacoop et al, 2003;DiCarlo et al, 2003;Swaddiwudhipong et al, 2005), which all aim at overcoming the non-uniqueness of the reverse analysis of material properties from a single indentation test (Futakawa et al, 2001;Cheng and Cheng, 2004).…”

Section: Dual Indentation Approachmentioning

confidence: 99%

Dual-indentation technique for the assessment of strength properties of cohesive-frictional materials

Ganneau

Constantinides

Ulm

2006

International Journal of Solids and Structures

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We propose a dual indentation technique for the assessment of the cohesion and friction angle of cohesive-frictional materials of the Mohr-Coulomb type. The technique is based on a computational implementation of the yield design theorems applied to conical indentation tests with different apex angles. The upper bound solutions are found to be very close to flat indentation solutions available for cohesive-frictional materials. On this basis we derive fundamental hardness-to-cohesion solutions in function of the friction angle and the apex angle. By studying the property of these dimensionless relations, we show that the ratio of two hardness measurements obtained from indentation tests with different apex angles, allows one to determine the friction angle. This dual indentation method is applied to Berkovich and Corner Cube indenter assimilated to equivalent cones of different apex angle. The method is validated for a ÔmodelÕ material, metallic glass, which has recently been identified as a cohesive-frictional materials. The only input to the method are two hardness values which we obtain by microindentation on metallic glass. The outcome are values of the cohesion and friction angle, which are found to be in excellent agreement with reported cohesion and friction angle values of metallic glass obtained by macroscopic triaxial testing and comprehensive finite-element backanalysis of indentation curves.

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“…Therefore, the mechanical properties of these specimens cannot be uniquely determined by using only one sharp indenter. In turn, the indentation community now believes that the dual (or plural) sharp indentation analyses would yield unique solutions, since it is not likely that a set of special materials would again yield the same indentation characteristics when a different sharp indenter is used (Futakawa et al, 2001;Bucaille et al, 2003;Capehart and Cheng, 2003;Chollacoop et al, 2003;DiCarlo et al, 2003;Cao and Lu, 2004a;Cheng and Cheng, 2004;Tho et al, 2004;Alkorta et al, 2005;Swaddiwudhiponga et al, 2005;Cao and Huber, 2006). From dimensional analysis, the number of the indenters with different apex angles can be equal to the number of additional unknown material constants, so as to determine them uniquely (Futakawa et al, 2001;Cheng and Cheng, 2004;Swaddiwudhiponga et al, 2005).…”

Section: Introductionmentioning

confidence: 99%