Non-direct estimations of adhesive and elastic properties of materials by depth-sensing indentation

Borodich, Feodor M.; Galanov, Boris A.

doi:10.1098/rspa.2008.0044

Cited by 47 publications

(42 citation statements)

References 36 publications

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“…the compressive branch of the adhesive P -δ curve is not sensitive to small surface roughness. Therefore, the classic models derived for contact of smooth spheres are applicable and, in turn, we can use the indirect BG method for estimations of both mechanical and adhesive properties of contacting materials [9].…”

Section: Depth-sensing Indentation and Adhesive Contactmentioning

confidence: 99%

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Evaluation of adhesive and elastic properties of materials by depth-sensing indentation of spheres

et al. 2012

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Work of adhesion is the crucial material parameter for application of theories of adhesive contact. It is usually determined by experimental techniques based on the direct measurements of pull-off force of a sphere. These measurements are unstable due to instability of the loaddisplacement diagrams at tension, and they can be greatly affected by roughness of contacting solids. We show how the values of work of adhesion and elastic contact modulus of materials may be quantified using a new indirect approach (the Borodich-Galanov (BG) method) based on an inverse analysis of a stable region of the force-displacements curve obtained from the depth-sensing indentation of a sphere into an elastic sample. Using numerical simulations it is shown that the BG method is simple and robust. The crucial difference between the proposed method and the standard direct experimental techniques is that the BG method may be applied only to compressive parts of the force-displacements curves. Finally, the work of adhesion and the elastic modulus F.M. Borodich ( ) · Mof soft polymer (polyvinylsiloxane) samples are extracted from experimental load-displacement diagrams.

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Section: Depth-sensing Indentation and Adhesive Contactmentioning

confidence: 99%

“…Reinforcing the general declaration that such a method is possible [9], in this paper we prove that the BG method for study the above elastic and adhesive characteristics is fast and robust. In addition, we apply the BG method to experimental curves for polyvinylsiloxane (PVS) samples.…”

Section: Introductionmentioning

confidence: 96%

Evaluation of adhesive and elastic properties of materials by depth-sensing indentation of spheres

et al. 2012

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“…Relation (1) 2 is an exact relation for linear elastic materials. For non-elastic materials, (1) 2 becomes an approximate relation and S may be affected by the residual stress field and by adhesion of materials [Borodich and Galanov 2008]. Application of the depth sensing indentation techniques in indentation analysis confirmed the link provided by classical linear elastic contact mechanics solutions [Hertz 1882;Boussinesq 1885;Love 1939;Galin 1961;Sneddon 1965;Borodich and Keer 2004] for a rigid indenter of axysmmetric shape that can be described by a monomial function of the form z = Br n :…”

Section: Introductionmentioning

confidence: 65%

Indentation analysis of fractional viscoelastic solids

Shahsavari

Ulm

2009

J. Mech. Mater. Struct.

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The constitutive differential equations governing the time-dependent indentation response for axisymetric indenters into a fractional viscoelastic half-space are derived, together with indentation creep and relaxation functions suitable for the backanalysis of fractional viscoelastic properties from indentation data. These novel fractional viscoelastic indentation relations include, as a subset, classical integer-type viscoelastic models such as the Maxwell model or Zener model. Using the correspondence principle of viscoelasticty, it is found that the differential order of the governing equations of the indentation response is higher than the one governing the material level. This difference in differential order between the material scale and indentation scale is more pronounced for the viscoelastic shear response than for the viscoelastic bulk response, which translates, into fractional derivatives, the well-known fact that an indentation test is rather a shear test than a hydrostatic test. By way of example, an original method for the inverse analysis of fractional viscoelastic properties is proposed and applied to experimental indentation creep data of polystyrene. The method is based on fitting the time-dependent indentation data (in the Laplace domain) to the fractional viscoelastic model response. Applied to polysterene, it is shown that the particular time-dependent response of this material is best captured by a bulk-and-deviator fractional viscoelastic model of the Zener type.

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“…The condition for the equilibrium of an adhesive contact can be obtained from the standard balance of energy at small variation of the contact radius. We assume that the boundary springs (in the MDR setting) detach when they achieve the critical length l c , which is determined by equating the relaxed elastic energy 6) to the change of adhesive energy:…”

Section: General Case Of Johnson-kendall-roberts Adhesive Contact: Apmentioning

confidence: 99%

“…Therefore, in order to implement depth-sensing adhesive indentation techniques [5,6], it is necessary to obtain the force-displacement relationship. At low loads, the force-displacement curves reflect not only elastic properties, but also adhesive properties of the contact, and therefore characteristics of adhesion, such as the work of adhesion and the pull-off force, can be extracted.…”

Section: Introductionmentioning

confidence: 99%

Johnson–Kendall–Roberts adhesive contact for a toroidal indenter

Argatov¹,

Li²,

Pohrt³

et al. 2016

Proc. R. Soc. A.

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The unilateral axisymmetric frictionless adhesive contact problem for a toroidal indenter and an elastic half-space is considered in the framework of the Johnson–Kendall–Roberts theory. In the case of a semi-fixed annular contact area, when one of the contact radii is fixed, while the other varies during indentation, we obtain the asymptotic solution of the adhesive contact problem based on the solution of the corresponding unilateral non-adhesive contact problem. In particular, the adhesive contact problem for Barber’s concave indenter is considered in detail. In the case when both contact radii are variable, we construct the leading-order asymptotic solution for a narrow annular contact area. It is found that for a v-shaped generalized toroidal indenter, the pull-off force is independent of the elastic properties of the indented solid.

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Non-direct estimations of adhesive and elastic properties of materials by depth-sensing indentation

Cited by 47 publications

References 36 publications

Evaluation of adhesive and elastic properties of materials by depth-sensing indentation of spheres

Evaluation of adhesive and elastic properties of materials by depth-sensing indentation of spheres

Indentation analysis of fractional viscoelastic solids

Johnson–Kendall–Roberts adhesive contact for a toroidal indenter

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