Adhesion between a rigid sphere and a stretched membrane using the Dugdale model

Yuan, Weike; Wang, Gangfeng

doi:10.1016/j.ijsolstr.2020.11.008

Cited by 5 publications

(4 citation statements)

References 25 publications

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“…which together with the equilibrium equation (2.12) allow us to determine the radii a and c of the cohesive zone and relate the contact force P to the indenter displacement. We note that in the case of a paraboloidal indenter, when Φ(r) = r 2 /(2 ), equations (2.13)-(2.15) reduce to the solution obtained recently by Yuan & Wang [21]. A numerical analysis of this axisymmetric adhesive contact problem (e.g.…”

Section: (B) MD Model For a Circular Membranementioning

confidence: 50%

“…We note that in the case of a paraboloidal indenter, when Φfalse(rfalse)=r2/false(2ϱfalse), equations (2.13)–(2.15) reduce to the solution obtained recently by Yuan & Wang [21]. A numerical analysis of this axisymmetric adhesive contact problem (e.g.…”

Section: Axisymmetric Adhesive Contactmentioning

confidence: 66%

“…The generalized MD model and the JKR–DMT transition in non-axisymmetric adhesive contact are considered in §4. It should be noted that whereas in previously published studies [17,21] the JKR–DMT transition has been established based on the numerical analysis by linking the JKR and DMT models via the MD model, here the transition has been entrenched in the general sense, as both the JKR and DMT models are derived from the MD model as limit models. In §5, we formulate for the first time and (approximately) solve the unilateral contact problem of the JKR-type for an infinite stretched membrane and a rigid indenter of elliptic paraboloid shape.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, using the JKR formalism, analogies of the JKR and the Boussinesq–Kendall contact problems [19] for a circular membrane were formulated [20], and general nonlinear relations among the contact force, indenter displacement and contact radius were derived for an arbitrary axisymmetric indenter that establishes a circular contact with the membrane. The application of the MD model for spherical indentation (in the paraboloidal approximation) of a circular membrane was recently carried out in [21] with a particular emphasis on the JKR–DMT transition in the pull-off force needed to detach the paraboloidal probe from the membrane. However, non-axisymmetric shapes of membranes, such as square [22] or rectangular [6], can have significant technological advantages over axisymmetric circular shape.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Indentation mapping of stretched adhesive membranes

Argatov

2021

Proc. R. Soc. A.

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Unilateral adhesive contact between a rigid indenter and a uniformly stretched membrane of arbitrary shape is considered. The generalized Johnson–Kendall–Roberts (JKR)-type and Derjaguin– Muller–Toporov (DMT)-type models of non-axisymmetric adhesive contact are presented for short- and long-range adhesion, respectively, and the JKR–DMT transition is established in the framework of the generalized Maugis–Dugdale model. A refined method of matched asymptotic expansions is applied to construct the leading-order asymptotic model for indentation mapping of freestanding two-dimensional materials with an axisymmetric probe, using the approximate analytical solution obtained in explicit form for an infinite membrane in the limit of short-range adhesive contact with an indenter in the form of an elliptic paraboloid. The cases of a spherical indenter and a rectangular membrane are studied in detail.

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Section: (B) MD Model For a Circular Membranementioning

confidence: 50%

Section: Axisymmetric Adhesive Contactmentioning

confidence: 66%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Indentation mapping of stretched adhesive membranes

Argatov

2021

Proc. R. Soc. A.

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Effects of adhesive and frictional contacts on the nanoindentation of two-dimensional material drumheads

Rao,

2024

Journal of the Mechanics and Physics of Solids

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Prediction of contact resistance between copper blocks under cyclic load based on deep learning algorithm

2022

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This paper establishes a data-driven Neural Network (NN) framework. The contact resistance of T2 copper blocks with different roughnesses is predicted by deep learning at room temperature and cyclic loading. The contact resistance problem can be regarded as a regression problem of mapping the high-dimensional array space of multiple variables to the contact resistance. This paper measures the contact resistance of copper blocks with different surface roughnesses under loading and unloading states and obtains the original dataset required by the algorithm. The data characteristics include three surface topography parameters, number of cyclic loads, loading and unloading conditions, and load magnitude, with the data labeled contact resistance. This paper compares the results of the NN model and Holm model results to verify the NN model’s effectiveness. The comparison results show that the prediction results of the NN are consistent with the predictions of the Holm model. After training and debugging, the root mean square error of the multiple hidden layers neural network test set is 6.81%, showing a good prediction effect. In conclusion, the deep learning algorithm provides a new way for fast and accurate prediction of the relationship between T2 copper blocks and contact resistance under cyclic loading times and unloading states.

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Adhesion between a rigid sphere and a stretched membrane using the Dugdale model

Cited by 5 publications

References 25 publications

Indentation mapping of stretched adhesive membranes

Indentation mapping of stretched adhesive membranes

Effects of adhesive and frictional contacts on the nanoindentation of two-dimensional material drumheads

Prediction of contact resistance between copper blocks under cyclic load based on deep learning algorithm

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