Large Deformations of a Rubber Sphere under Diametral Compression : Part 1 : Theoretical Analysis of Press Approach, Contact Radius and Lateral Extension

Tatara, Yoichi

doi:10.1299/jsmea1993.36.2_190

Cited by 26 publications

(24 citation statements)

References 9 publications

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“…Here, we perform an extensive computational study of AM-AFM to obtain the peak forces of soft (50 MPa) and relatively rigid (2 GPa) materials for two different models of contact mechanics, namely Hertz [29] and Tatara [30–32]. We also provide a comparison between the numerical simulations and three analytical expressions [21,33–34].…”

Section: Introductionmentioning

confidence: 99%

Peak forces and lateral resolution in amplitude modulation force microscopy in liquid

Guzmán¹,

García²

2013

Beilstein J. Nanotechnol.

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SummaryThe peak forces exerted on soft and rigid samples by a force microscope have been modeled by performing numerical simulations of the tip motion in liquid. The forces are obtained by using two contact mechanics models, Hertz and Tatara. We present a comparison between the numerical simulations and three analytical models for a wide variety of probe and operational parameters. In general, the forces derived from analytical expressions are not in good quantitative agreement with the simulations when the Young modulus and the set-point amplitude are varied. The only exception is the parametrized approximation that matches the results given by Hertz contact mechanics for soft materials and small free amplitudes. We also study the elastic deformation of the sample as a function of the imaging conditions for materials with a Young modulus between 25 MPa and 2 GPa. High lateral resolution images are predicted by using both small free amplitudes (less than 2 nm for soft materials) and high set-point amplitudes.

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Section: Introductionmentioning

confidence: 99%

Peak forces and lateral resolution in amplitude modulation force microscopy in liquid

Guzmán¹,

García²

2013

Beilstein J. Nanotechnol.

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“… Notes : Definitions of compression mechanical parameters in equations are shown in the Nomenclature section. Model 3: Johnson (); Model 4: Brizmer and others (); Model 5: Tatara (); Model 6: Lee and Radok (); Model 7: Blahovec (); Model 8: Wang and others (); Model 9: Dintwa and others (), Li and others (, ), Van Liedekerke and others (). FEM—finite element method, DEM—discrete element method, SPH—smoothed particle hydrodynamics, 2D—2 dimensional.…”

Section: Compression Mechanicsmentioning

confidence: 99%

Mechanical Models of Compression and Impact on Fresh Fruits

Miao

Andrews

2017

Comp Rev Food Sci Food Safe

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Well-designed and well-operated postharvest mechanical handling processes are vital if fresh fruits are to enter markets with minimal damage. The susceptibility of fruit to quality loss during handling is largely determined by mechanical contact and damage. This article reviews current understanding concerning the effect of impact and other mechanical contacts on fruits. It also discusses the major mechanical models that represent the interaction between fruits or a fruit and a surface. In total, 25 mechanical models associated with compression and impact behaviors of fresh fruits, mainly characterizing such behavior between 2 deformable spherical bodies and between a deformable spherical body and a rigid plate are reviewed. Finally, possible future research directions are discussed. The main challenge in fruit handling is to recognize and prevent microscopic damage to fruits, especially internal tissue/cell damage and microcracks resulting from multiple/repetitive impacts and compressions.

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“…Since the Hertzian model is only applicable to small deformations (δ/R < 0.1) (Liu 2006), an extended mechanics model accommodating large deformations (Tatara 1993) was used in this work to assess experimental data. As shown in Fig.…”

Section: Elastic Property Characterizationmentioning

confidence: 99%

“…3 with the experimental data for a rubber sphere in the range δ/R < 0.2. Above this range, the values of δ become much larger than experimental results mainly due to nonlinear elasticity of rubber (Tatara 1993). Therefore, we chose 20% deformation (δ/R < 0.2) including an extensive term from the reaction force to assess global mechanical properties of the microcapsules and minimize the nonlinear effect, such as volume changes due to the drainage of liquid medium during compression.…”

Section: Elastic Property Characterizationmentioning

confidence: 99%

Elastic and viscoelastic characterization of microcapsules for drug delivery using a force-feedback MEMS microgripper

Kim

Liu

Zhang

et al. 2008

Biomed Microdevices

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This paper reports a monolithic, force-feedback MEMS (microelectomechanical systems) microgripper and its application to micro-scale compression testing of swollen hydrogel microcapsules at wet state during manipulation. The single-chip microgripper integrates an electrothermal microactuator and two capacitive force sensors, one for contact detection (force resolution: 38.5 nN) and the other for gripping force measurements (force resolution: 19.9 nN). With the capability of resolving gripping forces down to 19.9 nN and material deformations with a 20.5 nm resolution, the system quantified Young's modulus values and viscoelastic parameters of alginate microcapsules (15-25 microm), demonstrating an easy-to-operate, accurate compression testing technique for characterizing soft, micrometer-sized biomaterials.

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Large Deformations of a Rubber Sphere under Diametral Compression : Part 1 : Theoretical Analysis of Press Approach, Contact Radius and Lateral Extension

Cited by 26 publications

References 9 publications

Peak forces and lateral resolution in amplitude modulation force microscopy in liquid

Peak forces and lateral resolution in amplitude modulation force microscopy in liquid

Mechanical Models of Compression and Impact on Fresh Fruits

Elastic and viscoelastic characterization of microcapsules for drug delivery using a force-feedback MEMS microgripper

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