Contact Problems of Functionally Graded Materials

Popov, Valentin L.; Heß, Markus; Willert, Emanuel

doi:10.1007/978-3-662-58709-6_9

Cited by 9 publications

(11 citation statements)

References 36 publications

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“…32 Both describe the normal contact between two bodies, but vary in the shape of the body representing the AFM probe to account for different probe geometries. 33 E and ν of the two bodies (probe and sample) need to be taken into account, defining the effective elastic modulus E* :For all types of indenters, the force-deformation relation includes a geometrical constant γ and an exponent for the dependency on the deformation β F = γE * d β which both vary for the different shapes of indenters. Colloidal probes or very rounded tips are assumed to be spherical indenters with R p ≫ d , for which and (Fig.…”

Section: Exerting Force On Microgels and Determining Their Mechanical...mentioning

confidence: 99%

Microgels react to force: mechanical properties, syntheses, and force-activated functions

et al. 2022

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Section: Exerting Force On Microgels and Determining Their Mechanical...mentioning

confidence: 99%

Microgels react to force: mechanical properties, syntheses, and force-activated functions

et al. 2022

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“…1). In the framework of the Method of Dimensionality Reduction (MDR) [10], [11], it is possible to map a three-dimensional axisymmetric contact problem to a contact of the modified plane shape…”

Section: Problem Statement and Model Descriptionmentioning

confidence: 99%

“…with E the Young modulus and ν the Poisson number of the elastic half-space. In the MDR, it can be shown ( [10], [11]) that the indentation depth, the contact radius and the normal force calculated as a sum of forces of all springs in contact:…”

Section: Problem Statement and Model Descriptionmentioning

confidence: 99%

Adhesion Hysteresis due to Chemical Heterogeneity

Popov¹

2020

Preprint

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According the JKR theory of adhesive contact, changes of the contact configuration after formation of the adhesive neck and before detaching are completely reversible. This means, that after formation of the initial contact, the force-distance dependencies should coincide, independently on the direction of the process (indentation or pull-off). In the majority of real systems, this invariance is not observed. The reasons for this may be either plastic deformation in the contacting bodies or surface roughness. One further mechanism of irreversibility (and corresponding energy dissipation) may be chemical heterogeneity of the contact interface leading to the spatial dependence of the specific work of adhesion. In the present paper, this "chemical" mechanism is analyzed on a simple example of an axisymmetric contact (with axisymmetric heterogeneity). It is shown that in the asymptotic case of a "microscopic heterogeneity", the system follows, during both indentation and pull-off, JKR curves, however, corresponding to different specific surface energies. After the turning point of the movement, the contact area first does not change and the transition from one JKR curve to the other occurs via a linear dependency of the force on indentation depth. The macroscopic behavior is not sensitive to the absolute and relative widths of the regions with different surface energy but depends mainly on the values of the specific surface energy.

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“…Classical solutions for non-adhesive elastic contact theory with measured parameters of deformed sphere section on the frame were applied. Based on well-known Hertz [4] equations the static wood modulus of elasticity was calculated. The followed equations were applied:…”

Section: Static Test Of the Window Frame Non-standard Evaluation Apprmentioning

confidence: 99%

Analysis of static and dynamic parameters of the wooden window glass frame

Papán

2020

MATEC Web Conf.

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An integral part of each the window is its frame. This frame is a support of the glass panel. It is a part of window used for any load distribution to the other parts of buildings. Investigation of parameters of this member acting in the interaction system (glass-frame) is important for numerical modelling and simplified analytical solution. The main aim of the paper is to present experimental investigation of the static and dynamic parameters results of usual wooden and plastic windows.

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Contact Problems of Functionally Graded Materials

Cited by 9 publications

References 36 publications

Microgels react to force: mechanical properties, syntheses, and force-activated functions

Microgels react to force: mechanical properties, syntheses, and force-activated functions

Adhesion Hysteresis due to Chemical Heterogeneity

Analysis of static and dynamic parameters of the wooden window glass frame

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