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

Perepelkin, Nikolay V.; Borodich, Feodor M.; Kovalev, Alexander; Gorb, Stanislav N.

doi:10.3390/nano10010015

Cited by 15 publications

(11 citation statements)

References 85 publications

(119 reference statements)

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“…We successfully implemented this concept during the development of an FEM-based equivalent of the extended Borodich–Galanov (BG) method (originally proposed in [41]) of identification of elastic properties of materials and structures by means of depth-sensing indentation [42–44]. The results have been presented at international conferences (e.g.…”

Section: Discussionmentioning

confidence: 99%

Explicit transformation between non-adhesive and adhesive contact problems by means of the classical Johnson–Kendall–Roberts formalism

Perepelkin

Borodich

2021

Phil. Trans. R. Soc. A.

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The classic Johnson–Kendall–Roberts (JKR) contact theory was developed for frictionless adhesive contact between two isotropic elastic spheres. The advantage of the classical JKR formalism is the use of the principle of superposition of solutions to non-adhesive axisymmetric contact problems. In the recent years, the JKR formalism has been extended to other cases, including problems of contact between an arbitrary-shaped blunt axisymmetric indenter and a linear elastic half-space obeying rotational symmetry of its elastic properties. Here the most general form of the JKR formalism using the minimal number of a priori conditions is studied. The corresponding condition of energy balance is developed. For the axisymmetric case and a convex indenter, the condition is reduced to a set of expressions allowing explicit transformation of force–displacement curves from non-adhesive to corresponding adhesive cases. The implementation of the developed theory is demonstrated by presentation of a two-term asymptotic adhesive solution of the contact between a thin elastic layer and a rigid punch of arbitrary axisymmetric shape. Some aspects of numerical implementation of the theory by means of Finite-Element Method are also discussed. This article is part of a discussion meeting issue ‘A cracking approach to inventing new tough materials: fracture stranger than friction’.

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Section: Discussionmentioning

confidence: 99%

Explicit transformation between non-adhesive and adhesive contact problems by means of the classical Johnson–Kendall–Roberts formalism

Perepelkin

Borodich

2021

Phil. Trans. R. Soc. A.

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“…[68]). However, later it was suggested to employ in the extended BG (eBG) method another objective functional based on the concept of orthogonal distance curve fitting [24,69,70].…”

Section: Determination Of Elastic Modulus and Work Of Adhesion For Prestressed Cellsmentioning

confidence: 99%

“…However, its extended version can be used for determination of elastic and adhesive properties of elastic structures if they allow for the application of the JKR theory. Hence, the eBG method can be applied to adhesive indentation of coated, multilayered, and functionally-graded media [24,69,70]. It is possible to show that the JKR formalism is applicable to problems of adhesive contact for any linear or linearized materials and structures that allow the use of the principle of superposition of solutions [75].…”

Section: Determination Of Elastic Modulus and Work Of Adhesion For Prestressed Cellsmentioning

confidence: 99%

Contact probing of prestressed adhesive membranes of living cells

Borodich

Galanov

Keer

et al. 2021

Phil. Trans. R. Soc. A.

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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’.

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“…Механические свойства в нано-и микрошкале исследуются методами нано/микромеханического тестинга [3,4], наиболее распространенным из которых является наноиндентирование (НИ) [4][5][6][7][8]. Методами нано-и микромеханики были исследованы механические свойства отдельных микроволокон целлюлозы [9,10] и клеточных стенок [2,11,12] древесины различных пород, в результате чего было получено много интересных данных.…”

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Распределение Механических Свойств Древесины Лиственных Пород В Годовых Кольцах, Выявленных Методом Сканирующего Наноиндентирования

Головин¹,

Тюрин²,

Гусев³

et al. 2022

Письма В Журнал Технической Физики

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The paper presents the results of mechanical properties scanning by means of nanoindentation across the annual growth rings of deciduous trees wood, small-leaved lime (Tilia cordata) and common oak (Quercus robur) in particular. Significant variations in microhardness H and Young’s modulus E radial dependencies have been found for any of the studied species. Results can be useful 1) to amend the understanding the nature of macromechanical properties of various wood species and to reveal the details of their formation depending upon microstructural characteristics, 2) to optimize the technologies of growing, reinforcement and subsequent usage of the wood, 3) to develop new independent methods in dendrochronology and dendroclimatology

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

Cited by 15 publications

References 85 publications

Explicit transformation between non-adhesive and adhesive contact problems by means of the classical Johnson–Kendall–Roberts formalism

Explicit transformation between non-adhesive and adhesive contact problems by means of the classical Johnson–Kendall–Roberts formalism

Contact probing of prestressed adhesive membranes of living cells

Распределение Механических Свойств Древесины Лиственных Пород В Годовых Кольцах, Выявленных Методом Сканирующего Наноиндентирования

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