Computational optimization of adhesive microstructures based on a nonlinear beam formulation

Mergel, Janine C.; Sauer, Roger A.; Saxena, Anupam

doi:10.1007/s00158-014-1091-1

Cited by 13 publications

(6 citation statements)

References 29 publications

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“…Several contributions to related problems can be found in the literature. The adhesion of a Gecko spatula to solid surfaces has inspired the development of computational models to study and optimize the peeling behavior of thin elastic films and strips [8,9,10,11,12]. The corresponding model system of a beam interacting with a rigid half-space via the Lennard-Jones (LJ) potential shows certain similarities with the system of two deformable adhesive fibers to be studied in this article and we will return to this comparison in the discussion of our results.…”

Section: Introductionmentioning

confidence: 86%

Investigation of the peeling and pull-off behavior of adhesive elastic fibers via a novel computational beam interaction model

Grill

Meier

Wall

2019

The Journal of Adhesion

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This article studies the fundamental problem of separating two adhesive elastic fibers based on numerical simulation employing a recently developed finite element model for molecular interactions between curved slender fibers. Specifically, it covers the two-sided peeling and pull-off process starting from fibers contacting along its entire length to fully separated fibers including all intermediate configurations and the well-known physical instability of snapping into contact and snapping free. We analyze the resulting force-displacement curve showing a rich and highly nonlinear system behavior arising from the interplay of adhesion, mechanical contact interaction and structural resistance against (axial, shear and bending) deformation. While similar to one-sided peeling studies from the literature, a distinct initiation and peeling phase can be observed, the two-sided peeling setup considered in the present work reveals the extended final pull-off stage as third characteristic phase. Moreover, the influence of different material and interaction parameters such as Young's modulus as well as type (electrostatic or van der Waals) and strength of adhesion is critically studied. Most importantly, it is found that the maximum force occurs in the pull-off phase for electrostatic attraction, but in the initiation phase for van der Waals adhesion. In addition to the physical system behavior, the most important numerical aspects required to simulate this challenging computational problem in a robust and accurate manner are discussed. Thus, besides the insights gained into the considered two-fiber system, this study provides a proof of concept facilitating the application of the employed model to larger and increasingly complex systems of slender fibers.

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Section: Introductionmentioning

confidence: 86%

Investigation of the peeling and pull-off behavior of adhesive elastic fibers via a novel computational beam interaction model

Grill

Meier

Wall

2019

The Journal of Adhesion

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“…The formulation can be evaluated very efficiently with finite beam elements [245]. Such a formulation is ideal to study shape optimization of peeling strips [319,320]. Of course, peeling can also be analyzed with a standard FE approach based on continuum theory, e.g., see [60,321] or [310].…”

Section: Computational Peeling Models For Thin Elastic Filmsmentioning

confidence: 99%

A Survey of Computational Models for Adhesion

Sauer

2015

The Journal of Adhesion

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This work presents a survey of computational methods for adhesive contact focusing on general continuum mechanical models for attractive interactions between solids that are suitable for describing bonding and debonding of arbitrary bodies. The most general approaches are local models that can be applied irrespective of the geometry of the bodies. Two cases can be distinguished: local material models governing the constitutive behavior of adhesives, and local interface models governing adhesion and cohesion at interfaces in the form of traction-separation laws. For both models various subcategories are identified and described, and used to organize the available literature that has contributed to their advancement. Due to their popularity and importance, this survey also gives an overview of effective adhesion models that have been formulated to characterize the global behavior of specific adhesion problems.

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“…The model takes into account the shear deformation of the beam and the bending moment caused by the adhesion which are not considered by the previous models. In view of this, based on the two different expression modes of interfacial adhesion in the nonlinear finite beam element model, the optimization models of geometric structure of the spatula in the normal peeling and the mixed peeling modes were constructed to obtain the optimal structure of spatula which meets the requirement of strong adhesion and the requirement of strong adhesion and easy separation [56,57]. The two optimization models are of great significance to the understanding of the role of the gecko's spatula in its adhesive characteristics, and the final optimized structures of spatula obtained by the two models are very similar to the actual shape of gecko's spatula.…”

Section: The Adhesive Model Of Gecko's Footmentioning

confidence: 99%

Gecko-Like Dry Adhesive Surfaces and Their Applications: A Review

2021

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Gecko has the ability to climb flexibly on various natural surfaces because of its fine layered adhesion system of foot, which has motivated researchers to carry out a lot of researches on it. Significant progresses have been made in the gecko-like dry adhesive surfaces in the past 2 decades, such as the mechanical measurement of adhesive characteristics, the theoretical modeling of adhesive mechanism and the production of synthetic dry adhesive surfaces. Relevant application researches have been carried out as well. This paper focuses on the investigations made in recent years on the gecko-like dry adhesive surfaces, so as to lay the foundation for further research breakthroughs. First, the adhesion system of gecko’s foot and its excellent adhesive characteristics are reviewed, and the adhesive models describing the gecko adhesion are summarily reviewed according to the different contact modes. Then, some gecko-like dry adhesive surfaces with outstanding adhesive characteristics are presented. Next, some application researches based on the gecko-like dry adhesive surfaces are introduced. Finally, the full text is summarized and the problems to be solved on the gecko-like dry adhesive surfaces are prospected.

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Computational optimization of adhesive microstructures based on a nonlinear beam formulation

Cited by 13 publications

References 29 publications

Investigation of the peeling and pull-off behavior of adhesive elastic fibers via a novel computational beam interaction model

Investigation of the peeling and pull-off behavior of adhesive elastic fibers via a novel computational beam interaction model

A Survey of Computational Models for Adhesion

Gecko-Like Dry Adhesive Surfaces and Their Applications: A Review

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