On oblique contact of creeping solids

Larsson, Joachim; Storåkers, Bertil

doi:10.1016/s0022-5096(02)00020-0

Cited by 16 publications

(4 citation statements)

References 20 publications

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“…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%

Scaling, dimensional analysis, and indentation measurements

Cheng

2004

Materials Science and Engineering: R: Reports

936

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: Introductionmentioning

confidence: 99%

Scaling, dimensional analysis, and indentation measurements

Cheng

2004

Materials Science and Engineering: R: Reports

936

512

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“…For the case of linear viscosity, the approach corresponds to linear elasticity though with incompressibility anticipated. In subsequent work, hereditary material behaviour was treated in the same spirit for the case of plastic flow theory (Biwa and Stora˚kers, 1995), and viscoplasticity (Stora˚kers et al, 1997), with also finite friction included Carlsson et al (2000), and obliquity, Larsson and Stora˚kers (2002). In the present linear elastic case history dependence evolves through the presence of finite friction.…”

Section: Introductionmentioning

confidence: 99%

Hertz contact at finite friction and arbitrary profiles

Storåkers

Elaguine

2005

Journal of the Mechanics and Physics of Solids

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“…Hence, when in 2000 B. Storåkers asked the author if somebody studied the problem of oblique indentation, the author answered that he knew only problem of oblique penetration into fluids and he was not interested in this problem because it is not self-similar. Later the author learnt that Larsson and Storåkers published a paper on oblique contact of creeping solids [72]. Their analysis was based solely on the use of reduced coordinates (rescaling).…”

Section: Self-similarity In Contact Problems For Plastic Viscoelastic...mentioning

confidence: 99%

Contact Problems at Nano/Microscale and Depth Sensing Indentation Techniques

Borodich

2010

MSF

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An overview of development of indentation techniques and connections between contact mechanics and methods of extracting mechanical characteristics from indentation data is given. Observed disagreements between the experimental observations and the models of indentation are discussed. It is shown that this disagreement is often caused by violation of hypotheses that are used in the formulation of the appropriate boundary-value contact problems and strictly speaking one cannot apply directly the solutions of Hertz type contact problems to indentation tests employing the sharp indenters. It is shown that commonly used experimental test involving sharp pyramidal and conical indenters may be applied to study plastic properties of materials while this approach is not very accurate for estimations of elastic modulus of the test solid. The recently proposed by Borodich and Galanov non-direct method that employs data of elastically loading of a spherical indenter is described. It is argued that the non-direct method can be used for determination of both the work of adhesion and elastic modulus of the tested material.

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On oblique contact of creeping solids

Cited by 16 publications

References 20 publications

Scaling, dimensional analysis, and indentation measurements

Scaling, dimensional analysis, and indentation measurements

Hertz contact at finite friction and arbitrary profiles

Contact Problems at Nano/Microscale and Depth Sensing Indentation Techniques

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