Similarity analysis of inelastic contact

Storåkers, Bertil; Biwa, Shiro; Larsson, Per-Lennart

doi:10.1016/s0020-7683(96)00176-x

Cited by 160 publications

(110 citation statements)

References 18 publications

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“…These previous experiments clearly demonstrated the influence of work-hardening on piling-up and sinking-in. Previously, it has been suggested that piling-up and sinking-in was determined by the work-hardening exponent [101,107,108]. Others have shown that for highly elastic solids, such as polymers, sinking in is often observed [88].…”

Section: Contact Depth ''Sinking-in'' and ''Piling-up'' Phenomenamentioning

confidence: 99%

“…It has been found that the creep exponent obtained from these macro-and micro-tests are comparable for metals [200][201][202] and ceramics [204,205] where the power-law creep model applies. A number of theoretical and numerical studies of indentation in strain-rate dependent solids have also appeared recently in the literature [206][207][208][209]. In previous sections, dimensional analysis was applied to indentation in elastic-plastic solids without strain-rate effects.…”

Section: Introductionmentioning

confidence: 99%

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Scaling, dimensional analysis, and indentation measurements

Cheng

2004

Materials Science and Engineering: R: Reports

943

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: Contact Depth ''Sinking-in'' and ''Piling-up'' Phenomenamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Scaling, dimensional analysis, and indentation measurements

Cheng

2004

Materials Science and Engineering: R: Reports

943

512

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“…Various contact models have previously been derived, e.g. the models developed by Thornton and co-workers [19,20] and Storåkers [21]. The choice of model is dependent on the material properties making the first suitable for elastic-perfectly plastic materials and the latter suitable for visco-elastic materials.…”

Section: Introductionmentioning

confidence: 99%

An experimental evaluation of the accuracy to simulate granule bed compression using the discrete element method

Persson

Frenning

2012

Powder Technology

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PostprintThis is the accepted version of a paper published in Powder Technology. This paper has been peerreviewed but does not include the final publisher proof-corrections or journal pagination.Citation for the original published paper (version of record):Persson, A., Frenning, G. (2012) An experimental evaluation of the accuracy to simulate granule bed compression using the discrete element method. AbstractIn this work, granule compression is studied both experimentally and numerically with the overall objective of investigating the ability of the discrete element method (DEM) to accurately simulate confined granule bed compression. In the experiments, granules of microcrystalline cellulose (MCC) in the size range 200-710 µm were used as model material. Unconfined uniaxial compression of single granules was performed to determine granule properties such as the yield pressure and elastic modulus and compression profiles of the MCC granules were obtained from granule bed compression experiments. By utilizing the truncated Hertzian contact model for elastic-perfectly plastic materials, the rearrangement and plastic deformation stages of the force displacement curve were found to be in reasonable agreement with experiments. In an attempt to account for the final compression stage, elastic deformation of the compact, a simple modification of the contact model was proposed. This modification amounted to the introduction of a maximal plastic overlap, beyond which elastic deformation was the only deformation mode possible. Our results suggest that the proposed model provides an improved, although not perfect, 2 description of granule bed compression at high relative densities and hence may be used as a basis for future improvements.

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“…Alcalá et al and Venkatesh et al [3,4], and viscoplastic materials, e.g. Bucaille et al and Storåkers et al [5,6]. Considerable attention has also been given in the literature to utilizing the potential of indentation testing to measure the local material properties in inhomogeneous specimens, e.g.…”

Section: Introductionmentioning

confidence: 99%

On the Measurement of two Independent Viscoelastic Functions with Instrumented Indentation Tests

2017

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In the present paper, a methodology for complete characterization of linear isotropic viscoelastic material with spherical instrumented indentation test is proposed. The developed method allows for measuring two independent viscoelastic functions, shear relaxation modulus and time-dependent Poisson's ratio, from the indentation test data obtained at non-decreasing loading, but otherwise arbitrary. Finite element modelling (FEM) is relied upon for validating the proposed methodology and for quantifying the influence of experimental variables on the measurements accuracy. Spherical indentation experiments are performed on several viscoelastic materials: polyoxymethylene, bitumen and bitumen-filler mastics. The viscoelastic material functions obtained with the indentation tests are compared with the corresponding results from the standard mechanical tests. Numerical and experimental results presented indicate that the methodology proposed allows mitigating the machine compliance and loading rate effects on the accuracy of the viscoelastic indentation tests.

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Similarity analysis of inelastic contact

Cited by 160 publications

References 18 publications

Scaling, dimensional analysis, and indentation measurements

Scaling, dimensional analysis, and indentation measurements

An experimental evaluation of the accuracy to simulate granule bed compression using the discrete element method

On the Measurement of two Independent Viscoelastic Functions with Instrumented Indentation Tests

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