A body-force formulation for analyzing adhesive interactions with special considerations for handling symmetry

Jayadeep, U. B.; Bobji, M. S.; Jog, C. S.

doi:10.1016/j.finel.2016.04.001

Cited by 4 publications

(4 citation statements)

References 34 publications

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“…( 4), the interactions between two (in general arbitrarily shaped) bodies are often approximated by effective volumetric forces with unit N/m 3 or effective surface tractions with unit N/m 2 . Such an approach is pursued in various computational formulations [98,36,100,128,40,55].…”

Section: Existing Modeling Approachesmentioning

confidence: 99%

Continuum contact models for coupled adhesion and friction

Mergel

Sahli

Scheibert

et al. 2018

The Journal of Adhesion

148

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We develop two new continuum contact models for coupled adhesion and friction, and discuss them in the context of existing models proposed in the literature. Our new models are able to describe sliding friction even under tensile normal forces, which seems reasonable for certain adhesion mechanisms. In contrast, existing continuum models for combined adhesion and friction typically include sliding friction only if local contact stresses are compressive. Although such models work well for structures with sufficiently strong local compression, they fail to capture sliding friction for soft and compliant systems (like adhesive pads), for which the resistance to bending is low. This can be overcome with our new models. For further motivation, we additionally present experimental results for the onset of sliding of a smooth glass plate on a smooth elastomer cap under low normal loads. As shown, the findings from these experiments agree well with the results from our models. In this paper we focus on the motivation and derivation of our continuum contact models, and provide a corresponding literature survey. Their implementation in a nonlinear finite element framework as well as the algorithmic treatment of adhesion and friction will be discussed in future work.

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Section: Existing Modeling Approachesmentioning

confidence: 99%

Continuum contact models for coupled adhesion and friction

Mergel

Sahli

Scheibert

et al. 2018

The Journal of Adhesion

148

View full text Add to dashboard Cite

show abstract

“…24 Another enhancement to the S2S model 27 uses Non-Uniform Rational B-Spline (NURBS) enrichment to ensure differentiability of the surface. Recently, a conventional continuum FE model based on V2V interaction was proposed by Jayadeep et al 28 This paper exploited the symmetries of the contacting bodies to reduce the number of interaction calculations.…”

Section: Introductionmentioning

confidence: 99%

A custom arc‐length Finite Element solver for large deformation adhesive contacts using a k‐d tree accelerated volumetric interaction scheme

Roy

Sundaram

2023

Numerical Meth Engineering

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This paper introduces a Finite Element framework for large deformation adhesive contact between elastic bodies based on volume‐to‐volume interaction. A key component of this framework is a novel, customized arc‐length algorithm designed to follow the solution path through multiple snap‐through and snap‐back instabilities. Another new component is a k‐d tree based algorithm which significantly accelerates the computationally expensive volume‐to‐volume interaction calculations. This optimized Finite Element framework is then used to solve two‐body and three‐body elastic adhesive contact problems with realistic material and interaction parameters, using a 6‐12 Lennard‐Jones interaction potential. The improved efficiency of the k‐d tree based scheme makes it indispensable for interaction calculations. This paper also shows the importance of implementing adhesion‐specific customizations in the arc‐length solver.

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“…Jayadeep et al. 20 proposed an axisymmetric formulation with first-order convergence rate to calculate adhesion, which has obvious computational advantages compared with previous general formulation.…”

Section: Introductionmentioning

confidence: 99%

“…By comparing the body force formulation with the surface force formulation, Sauer and Wriggers 19 concluded that the surface force formulation to simulate adhesive contact is more efficient but the body force formulation is more reasonable when the strength of adhesion is high enough. Jayadeep et al 20 proposed an axisymmetric formulation with first-order convergence rate to calculate adhesion, which has obvious computational advantages compared with previous general formulation.…”

Section: Introductionmentioning

confidence: 99%

Adhesive contact of a diamond sphere with an iron substrate caused by interatomic interaction

Zeng

Wang

Qin

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part J:

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By incorporating the adhesive force as a body force in the finite element method, the adhesive contact between a diamond sphere and the iron substrate is studied. The adhesive force is derived from Morse potential by integrating the pair potential function over the spherical domain. Based on the tensile behaviors of iron nanowires, the elastic and elastoplastic material parameters are obtained for the substrate. As the radius of the sphere is larger than 320 nm and the maximum depth of indentation is one-tenth of the radius of the sphere, the adhesion caused by interatomic interaction between diamond and iron is small enough to ignore. Then take the sphere whose radius is 20 nm as an example, the results of a single load–unload cycle and multiple load–unload cycles are discussed. In the contact process between the sphere and the surface, the phenomena jump-to-contact and jump-off-contact were observed. Further, the stress distributions inside the substrate and the pressure distribution are investigated. With the analysis of the results, the proposed method can be used to simulate the mechanical behaviors under micro-nano scale contact.

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A body-force formulation for analyzing adhesive interactions with special considerations for handling symmetry

Cited by 4 publications

References 34 publications

Continuum contact models for coupled adhesion and friction

Continuum contact models for coupled adhesion and friction

A custom arc‐length Finite Element solver for large deformation adhesive contacts using a k‐d tree accelerated volumetric interaction scheme

Adhesive contact of a diamond sphere with an iron substrate caused by interatomic interaction

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