Measurement of the loss tangent of low-density polyethylene with a nanoindentation technique

Loubet, Jean‐Luc; Oliver, W. C.; Lucas, B. N.

doi:10.1557/jmr.2000.0169

Cited by 96 publications

(61 citation statements)

References 11 publications

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“…A number of authors [240][241][242][243][244][245][246][247] have in recent years proposed experimental hardware and analysis procedures for determining the storage and loss modulus from instrumented indentation experiments using, for example, DMA, nanoindenters, or atomic force microscope with controlled oscillatory loads or displacements. Taking the advantage of the high lateral resolution, many of these techniques allow mapping of storage and loss modulus.…”

Section: Steady State Oscillatory Conditionsmentioning

confidence: 99%

Scaling, dimensional analysis, and indentation measurements

Cheng

2004

Materials Science and Engineering: R: Reports

920

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: Steady State Oscillatory Conditionsmentioning

confidence: 99%

Scaling, dimensional analysis, and indentation measurements

Cheng

2004

Materials Science and Engineering: R: Reports

920

512

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“…Generally, the most common approach is to apply a special procedure, in which many indentation tests in a reference material (i.e., fused silica) are performed and the area function is evaluated on the base of the multiple P-h curves analysis. Different forms of area functions were discussed in the literature [30,31] and similarly different equations (methods) were proposed to compute h c on the base of a P-h curve. One of the difficulties that must be overcome is the pile-up or sink-in pattern that usually occurs.…”

Section: Introductionmentioning

confidence: 99%

Decrease of Nano-hardness at Ultra-low Indentation Depths in Copper Single Crystal

et al. 2015

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In the present study, we report a detailed investigation of the unusual size effect in single crystals. For the experiments we specified the hardness in single crystalline copper specimens with different orientations ( (001), (011) and (111)) using Oliver-Pharr method. Our results indicates that with decreasing load, after the value of the hardness reached its maximum, it starts to decrease for very small indentation depths (<150 nm). For the sake of accuracy of hardness determination we have developed two AFM-based methods to evaluate contact area between tip and indented material. The proposed exact measurement of the contact area, which includes the effect of pile-up and sink-in patterns, can partially explain the strange behaviour, however, the decrease of hardness at low loads is still observed. At higher loads range the specified hardness is practically constant.

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“…Storage and loss moduli for polymer materials obtained by this technique [37][38][39] compare favorably with bulk values determined through conventional dynamic testing. The lock-in amplifier also contributes a time constant to the measurement.…”

Section: ͑5͒mentioning

confidence: 99%

Quantitative imaging of nanoscale mechanical properties using hybrid nanoindentation and force modulation

Asif

Wahl

Colton

et al. 2001

Journal of Applied Physics

236

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In this article, we present a quantitative stiffness imaging technique and demonstrate its use to directly map the dynamic mechanical properties of materials with nanometer-scale lateral resolution. For the experiments, we use a ''hybrid'' nanoindenter, coupling depth-sensing nanoindentation with scanning probe imaging capabilities. Force modulation electronics have been added, enhancing instrument sensitivity and enabling measurements of time dependent materials properties ͑e.g., loss modulus and damping coefficient͒ not readily obtained with quasi-static indentation techniques. Tip-sample interaction stiffness images are acquired by superimposing a sinusoidal force ͑ϳ1 N͒ onto the quasi-static imaging force ͑1.5-2 N͒, and recording the displacement amplitude and phase as the surface is scanned. Combining a dynamic model of the indenter ͑having known mass, damping coefficient, spring stiffness, resonance frequency, and modulation frequency͒ with the response of the tip-surface interaction, creates maps of complex stiffness. We demonstrate the use of this approach to obtain quantitative storage and loss stiffness images of a fiber-epoxy composite, as well as directly determine the loss and storage moduli from the images using Hertzian contact mechanics. Moduli differences as small as 20% were resolved in the images at loads two orders of magnitude lower than with indentation, and were consistent with measurements made using conventional quasi-static depth-sensing indentation techniques.

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Measurement of the loss tangent of low-density polyethylene with a nanoindentation technique

Cited by 96 publications

References 11 publications

Scaling, dimensional analysis, and indentation measurements

Scaling, dimensional analysis, and indentation measurements

Decrease of Nano-hardness at Ultra-low Indentation Depths in Copper Single Crystal

Quantitative imaging of nanoscale mechanical properties using hybrid nanoindentation and force modulation

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