Evaluation of elastic and adhesive properties of solids by depth-sensing indentation

Perepelkin, Nikolay V.; Argatov, Ivan; Borodich, Feodor M.

doi:10.1080/00218464.2019.1686981

Cited by 7 publications

(8 citation statements)

References 64 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With this regard, we should note that the above mentioned works [64,[66][67][68] contain detailed analysis of the mathematical aspects of the BG method, and its accuracy, including the ability to withstand the presence of measurement noise. The recent work by Perepelkin et al [82] contains detailed discussion and performance assessment with regards to the extended BG method, which is discussed in the next Section.…”

Section: The Bg Methodsmentioning

confidence: 99%

“…However, this issue has recently been addressed, as Perepelkin et al [93] announced the eBG method, an extended version of the original approach which has distinctive new features, such as orthogonal distance fitting concept, and two stage fitting approach. Theoretical aspects of the eBG method are presented in the recent work [82], which describes two different implementations of the eBG method. Here we briefly discuss the variant of the eBG method which was successfully used in [93].…”

Section: The Extended Bg (Ebg) Methodsmentioning

confidence: 99%

“…The work [82] contains a number of numerical benchmarks related to the speed and accuracy of the variant of the eBG method shown above. In this paper, however, we present a short numerical example, in which DSI of a thin elastic layer bonded to a rigid substrate is simulated (Figure 2).…”

Section: The Extended Bg (Ebg) Methodsmentioning

confidence: 99%

“…Further, the values of P c and δ c found in the corresponding trial problem were supposed to be the true ones. The issue of uncertainty in the indenter position is discussed in detail in [82].…”

Section: The Extended Bg (Ebg) Methodsmentioning

confidence: 99%

See 3 more Smart Citations

Depth-Sensing Indentation as a Micro- and Nanomechanical Approach to Characterisation of Mechanical Properties of Soft, Biological, and Biomimetic Materials

et al. 2019

Self Cite

View full text Add to dashboard Cite

Classical methods of material testing become extremely complicated or impossible at micro-/nanoscale. At the same time, depth-sensing indentation (DSI) can be applied without much change at various length scales. However, interpretation of the DSI data needs to be done carefully, as length-scale dependent effects, such as adhesion, should be taken into account. This review paper is focused on different DSI approaches and factors that can lead to erroneous results, if conventional DSI methods are used for micro-/nanomechanical testing, or testing soft materials. We also review our recent advances in the development of a method that intrinsically takes adhesion effects in DSI into account: the Borodich–Galanov (BG) method, and its extended variant (eBG). The BG/eBG methods can be considered a framework made of the experimental part (DSI by means of spherical indenters), and the data processing part (data fitting based on the mathematical model of the experiment), with such distinctive features as intrinsic model-based account of adhesion, the ability to simultaneously estimate elastic and adhesive properties of materials, and non-destructive nature.

show abstract

Section: The Bg Methodsmentioning

confidence: 99%

Section: The Extended Bg (Ebg) Methodsmentioning

confidence: 99%

Section: The Extended Bg (Ebg) Methodsmentioning

confidence: 99%

Section: The Extended Bg (Ebg) Methodsmentioning

confidence: 99%

See 2 more Smart Citations

Depth-Sensing Indentation as a Micro- and Nanomechanical Approach to Characterisation of Mechanical Properties of Soft, Biological, and Biomimetic Materials

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is argued that the values of the effective contact modulus for two cells or between a cell and material of the probe and the work of adhesion for the same pairs may be quantified from a single test using a simple and robust BG method [22,23] or its extension [24]. The method is 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.…”

Section: Introductionmentioning

confidence: 99%

Contact probing of prestressed adhesive membranes of living cells

Borodich

Galanov

Keer

et al. 2021

Phil. Trans. R. Soc. A.

Self Cite

View full text Add to dashboard Cite

Atomic force microscopy (AFM) studies of living biological cells is one of main experimental tools that enable quantitative measurements of deformation of the cells and extraction of information about their structural and mechanical properties. However, proper modelling of AFM probing and related adhesive contact problems are of crucial importance for interpretation of experimental data. The Johnson–Kendall–Roberts (JKR) theory of adhesive contact has often been used as a basis for modelling of various phenomena including cell-cell interactions. However, strictly speaking the original JKR theory is valid only for contact of isotropic linearly elastic spheres, while the cell membranes are often prestressed. For the first time, effects caused by molecular adhesion for living cells are analytically studied taking into account the mechanical properties of cell membranes whose stiffness depends on the level of the tensile prestress. Another important question is how one can extract the work of adhesion between the probe and the cell. An extended version of the Borodich-Galanov method for non-direct extraction of elastic and adhesive properties of contacted materials is proposed to apply to experiments of cell probing. Evidently, the proposed models of adhesive contact for cells with prestressed membranes do not cover all types of biological cells because the structure and properties of the cells may vary considerably. However, the obtained results can be applied to many types of smooth cells and can be used to describe initial stages of contact and various other processes when effects of adhesion are of crucial importance. This article is part of a discussion meeting issue ‘A cracking approach to inventing new tough materials: fracture stranger than friction’.

show abstract