Large deformation mechanics of a soft elastomeric layer compressed by a finite flat rigid punch for tactile sensor applications

Kalayeh, Kourosh; Charalambides, Panos G.

doi:10.1016/j.ijnonlinmec.2018.08.008

Cited by 1 publication

(16 citation statements)

References 24 publications

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“…A major limiting aspect is that, for contact force calculations, a corresponding infinite layer-finite punch formulation (i.e., finite flat punch indentation problem) is needed. This problem, which is shown in Figure 2 , was solved in [ 50 ] and shall be employed in this study in the development of an enhanced sensor model. Consistent with the figure, the schematic associated with the uniform compression case shown in Figure 1 , can be seen as a close-up view of the schematic associated with the indentation case in the vicinity of the symmetry plane.…”

Section: Summary Of the Finite Flat Punch Indentation Modelmentioning

confidence: 99%

“…A schematic of a boundary value problem solved in [ 49 , 50 ] is shown in Figure 3 . More specifically, a schematic of an infinitely long layer of finite thickness H compressed under the application of a finite flat punch of half-length

is shown in Figure 3 a.…”

Section: Summary Of the Finite Flat Punch Indentation Modelmentioning

confidence: 99%

“…Under the displacement components

and

, in the

- and

-directions, respectively, point

in the reference state deforms to point

in the current state. Using the models developed in [ 49 , 50 ], the above displacement components are given by,

where

and

are general functions of

and are expressed as follows,

…”

Section: Summary Of the Finite Flat Punch Indentation Modelmentioning

confidence: 99%

“…In the above expressions, H is the initial layer thickness and

is the parameter that only depends on the layer deformation U and is given by the following empirical expression [ 50 ],

…”

Section: Summary Of the Finite Flat Punch Indentation Modelmentioning

confidence: 99%

“…The purpose of the current study is to develop a large-deformation, large-strain model capable of predicting the response of the fabricated sensors under the application of normal forces covering their full sensing range. In doing so, a non-linear semi-analytical model developed for finite flat punch indentation of soft elastomeric layer in [ 49 , 50 ], will be integrated with an enhanced capacitance model. The empirical expression for change-in-capacitance is developed based on the parallel plate capacitance theory and through model comparisons to the experimental results.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A Non-Linear Model of an All-Elastomer, in-Plane, Capacitive, Tactile Sensor Under the Application of Normal Forces

Kalayeh

Charalambides

2018

Sensors

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In this work, a large deformation, non-linear semi-analytical model for an all-elastomer, capacitive tactile unit-sensor is developed. The model is capable of predicting the response of such sensors over their entire sensing range under the application of normal forces. In doing so the finite flat punch indentation model developed earlier is integrated with a capacitance model to predict the change-in-capacitance as a function of applied normal forces. The empirical change-in-capacitance expression, based on the parallel plate capacitance model, is developed to account for the fringe field and saturation effects. The elastomeric layer used as a substrate in these sensors is modeled as an incompressible, non-linear, hyperelastic material. More specifically, the two term Mooney-Rivlin strain energy function is used as a constitutive response to relate the stresses and strains. The developed model assumes both geometrical as well as material non-linearity. Based on the related experimental work presented elsewhere, the inverse analysis, combining finite element (FE) modeling and non-linear optimization, is used to obtain the Mooney-Rivlin material parameters. Finally, to validate the model developed herein the model predictions are compared to the experimental results obtained elsewhere for four different tactile sensors. Great agreements are found to exist between the two which shows the model capabilities in capturing the response of these sensors. The model and methodologies developed in this work, may also help advancing bio-material studies in the determination of biological tissue properties.

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Section: Summary Of the Finite Flat Punch Indentation Modelmentioning

confidence: 99%

is shown in Figure 3 a.…”

Section: Summary Of the Finite Flat Punch Indentation Modelmentioning

confidence: 99%

“…Under the displacement components

and

, in the

- and

-directions, respectively, point

in the reference state deforms to point