Nonlinearly Viscoelastic Nanoindentation of PMMA Under a Spherical Tip

Küçük, Yılmaz; Mollamahmutoglu, C.; Wang, Yih; Lu, Hongbing

doi:10.1007/s11340-012-9695-0

Cited by 24 publications

(11 citation statements)

References 27 publications

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“…Lu and Huang (2007) solved the same problem using both Berkovich and spherical indenters. Kucuk et al (2013) studied nonlinearly viscoelastic behavior of PMMA at submicron scale using a spherical indenter and described nonlinear effects with nonlinear Burgers model. Different viscoelastic models have been considered in the work by Chen et al (2012), and a three-dimensional Burgers model was selected to describe the viscoelastic behavior of PMMA with nanoindentation test.…”

Section: Introductionmentioning

confidence: 99%

Determination of the properties of viscoelastic materials using spherical nanoindentation

Martynova

2015

Mech Time-Depend Mater

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The article is devoted to determining the properties of linearly viscoelastic isotropic materials from the experiment on the introduction of a spherical indenter at a constant-rate displacement in a viscoelastic sample. The results are based on the Lee-Radok (J. Appl. Mech. 27:438-444, 1960) solution of the viscoelastic contact problem. An exact formula is obtained for calculation of the relaxation function using indentation loaddisplacement data. To illustrate the application of this formula, it is used to find the relaxation function of polymethyl methacrylate (PMMA). The relaxation function found in the article is compared with data measured in a conventional test to evaluate the suitability of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Determination of the properties of viscoelastic materials using spherical nanoindentation

Martynova

2015

Mech Time-Depend Mater

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“…Compared with other soft materials, the stress–strain relationship of TPEs is complicated, and the elastic modulus [ K ( t )] is widely used to assess their mechanical performance . The spherical indentation method is commonly used to measure the K ( t ) values of elastoplastic materials . Congrui et al .…”

Section: Introductionmentioning

confidence: 99%

“…[6][7][8][9][10][11][12] The spherical indentation method is commonly used to measure the K(t) values of elastoplastic materials. [13][14][15][16] Congrui et al 17 conducted a nanoindentation test with spherical indenters to characterize the mechanical properties of polydimethylsiloxane. Scott et al 18 used spherical indenters to assess the K(t)s of elastoplastic films.…”

Section: Introductionmentioning

confidence: 99%

Elastic modulus of thermoplastic elastomers investigated with the instantaneous volumetric strain method

Cheng

Qian

Huang

et al. 2018

J of Applied Polymer Sci

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The factors influencing the elastic modulus [K(t)] of thermoplastic elastomers (TPEs) were investigated under spherical indentation mode with the instantaneous volumetric strain method. The TPE samples were prepared by the hot‐pressing method, and the variation in K(t) was investigated at different thicknesses, loading forces, and spherical indenter radii (Rs). The results demonstrate that the K(t) values of the TPEs decreased nonlinearly with the depth–radius ratio. The sample thickness [H(t)] and R showed positive and negative relationships with K(t), respectively. However, the loading force did not exhibit any significant effect on K(t). In a certain depth–radius ratio range, K(t) had strong functional relationships with H(t), R, and indentation depth. These results provide a reference for the mechanical property investigation of elastoplastic materials. © 2018 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2019, 136, 47181.

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“…As for the solid sheet materials, there are several papers on the cutting behavior of laminated structure (Chaijit et al, 2008), resin material (Mitsomwang et al, 2012, Nagasawa et al, 2010a, 2010b and viscoelastic material (Boisly et al, 2016, McCarth et al, 2010. In addition, several numerical studies had been reported to predict the time-dependent deformation characteristics of viscoelastic materials (Kucuk et al, 2013, Okazawa et al, 2007.However, there are not almost research papers on the cutting characteristics and compressive flow behavior of the PSA sheet. Therefore, this work aims to reveal the wedge indentation characteristics of the acrylic PSA sheet through the experiment and the Finite Element Method (FEM) based numerical simulation which considers the viscoelastic properties with respect to the indentation velocity at a constant temperature.…”

mentioning

confidence: 99%

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confidence: 99%

Estimation of viscoelastic resistance and subduction profile of acrylic based pressure sensitive adhesive sheet subjected to wedge indentation

Kaneko

Nagasawa

2019

JAMDSM

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This paper aims to estimate the indentation resistance and deformation shape of a 0.5mm thickness acrylic Pressure Sensitive Adhesive (PSA) sheet subjected to a wedge indentation. As for the effect of apex angle of a wedge blade on the cutting characteristics of the PSA sheet, a 60° wedge blade was mainly investigated through experiments and numerical simulations, while the wedge angles of 42, 16° were discussed with respect to the subduction profile of wedged surface. For the sake of development of PSA deformation model, the Prony series based viscoelastic properties were determined by the shear stress relaxation test. Also, the equivalent Young's modulus was estimated by comparing with an out-of-plane compressive experiment and a Finite Element Method (FEM) based compressive simulation. Through the experimental wedge indentation using the 60° wedge blade, three stages of cutting load response were detected: (1) an exponential response, (2) an extremely increasing response based on the saturated inclined angle of subduction zone, and (3) a saturated gradient for the final stage. Furthermore, it was clarified that the proposed FEM model of viscoelastic-deformable sheet subjected to the 60° wedge indentation was applicable for simulating the cutting deformation for the early stage less than 60% of the thickness. The simulated inclined angle of subduction zone tended to be linearly increased with the indentation depth up to a certain extent, whereas the experimental inclined angle saturated to a constant for the indentation depth larger than 70% of the thickness. One of the reasons why the experimental cutting force was higher than the simulated result was explained as the wetting spreading effect due to the yield flow of PSA sheet. In the latter stage of indentation, the correlation between the mismatching of cutting line force and the mismatching of inclined angle of subduction zone was revealed.temperature of the substrate. The PSA can be classified from the aspects of the physical and chemical composition, i.e. the main elastomer used in the adhesive formulation is such as acrylic, styrenic block copolymers, natural rubber and silicone. The acrylic based PSA is acrylic esters that is yield soft and tacky polymers having the low glass transition temperature. Generalized acrylic PSAs are composed of 50~98 % main monomer, 10~40 % modifying monomer, and 0.5~20 % monomer with functional groups (Satas, 1999). They have many applications spread in various fields, from a specific to common usage. They are applied to self-adhesive labels, protective films, sign and marking films.When the wedge cutting is applied to a laminated sheet which has a PSA in the intermediate layer, various troubles sometimes occur. As for real jamming, there are several reasons by being wet on the blade, detaching/peeling of the end of sheared section and flowing out from the sheared section. The jamming phenomena are not revealed sufficiently, while many actual troubles are empirically taken by the hand operation of experts. In order to predi...

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Nonlinearly Viscoelastic Nanoindentation of PMMA Under a Spherical Tip

Cited by 24 publications

References 27 publications

Determination of the properties of viscoelastic materials using spherical nanoindentation

Determination of the properties of viscoelastic materials using spherical nanoindentation

Elastic modulus of thermoplastic elastomers investigated with the instantaneous volumetric strain method

Estimation of viscoelastic resistance and subduction profile of acrylic based pressure sensitive adhesive sheet subjected to wedge indentation

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