Finite Element Modeling of Indenter-Sample Contact During Force Imaging of Filled Rubber by Atomic Force Microscopy

2002 ◽  
Vol 75 (1) ◽  
pp. 19-28
Author(s):  
Mark K. Davis ◽  
R. K. Eby
Keyword(s):  
Finite Element ◽  
Rubber Particle ◽  
Domain Size ◽  
Lateral Position ◽  
Rubber Matrix ◽  
Element Analysis ◽  
Force Microscopy ◽  
Atomic Force ◽  
Filled Rubber ◽  
Distance Response

Abstract Finite element analysis (FEA) models were developed to study the interaction between atomic force microscope (AFM) tips and filled rubber compounds during nano-indentation. The filled systems were represented by simple models consisting of one or two discrete hard domains in a rubber matrix in order to study how such a hard domain at or near the location of an indentation measurement affected the force-distance response. Parameters studied included domain size and shape, lateral position and depth from the indentation location, effect of sample thickness, and the ability to measure modulus variation across “rubber-particle” interfaces. The analyses showed the degree to which the underlying and adjacent sample regions influenced the force-distance response at a given location. The results identified several limitations of force imaging as a characterization technique for filled systems and suggested a basis for the development of more complex FEA models.

scholarly journals Finite element analysis of V-shaped cantilevers for atomic force microscopy under normal and lateral force loads

2006 ◽  
Vol 38 (6) ◽  
pp. 1090-1095 ◽  
Author(s):  
Matthias Müller ◽  
Thomas Schimmel ◽  
Pascal Häußler ◽  
Heiko Fettig ◽  
Ottmar Müller ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Atomic Force Microscopy ◽  
Finite Element ◽  
Lateral Force ◽  
Element Analysis ◽  
Force Microscopy ◽  
Atomic Force

Mass Transfer Limitations at Crystallizing Interfaces in an Atomic Force Microscopy Fluid Cell:  A Finite Element Analysis

Langmuir ◽  
2006 ◽  
Vol 22 (15) ◽  
pp. 6578-6586 ◽  
Author(s):  
David Gasperino ◽  
Andrew Yeckel ◽  
Brian K. Olmsted ◽  
Michael D. Ward ◽  
Jeffrey J. Derby
Keyword(s):  
Mass Transfer ◽  
Finite Element Analysis ◽  
Atomic Force Microscopy ◽  
Finite Element ◽  
Element Analysis ◽  
Force Microscopy ◽  
Atomic Force ◽  
Fluid Cell

scholarly journals SIMULATION OF MORPHOLOGICAL AND FUNCTIONAL PROPERTIES OF ERYTHROCYTE MEMBRANE

2017 ◽  
Vol 19 (9.1) ◽  
pp. 177-190
Author(s):  
Yu.S. Nagornov ◽  
I.V. Zhilyaev
Keyword(s):  
Finite Element Analysis ◽  
Experimental Study ◽  
Atomic Force Microscopy ◽  
Finite Element ◽  
Erythrocyte Membrane ◽  
Optimization Methods ◽  
Element Analysis ◽  
Erythrocyte Morphology ◽  
Force Microscopy ◽  
Atomic Force

The paper presents a model for the calculation of morphofunctional erythrocyte properties. The model represents the erythrocyte as a homogeneous elastic body with elastic depending on the distance to the center of symmetry of the erythrocyte. The data for modeling were taken from the experimental study, which were used by atomic force microscopy (measuring the elasticity of the membrane of erythrocytes and morphology) and the Coulter method. In the developed model, the elasticity of the membrane to change depending on the distance to the center within 1-1,6 kPa. The calculation of the elastic properties is made by two methods - finite element analysis and optimization methods. In the model the dependence of erythrocyte morphology on the membrane pressure was obtained. Pressure difference across the erythrocyte membrane varied in the range of 0,5-2 kPa.

The Optimum Cage Position and Orientation on the ALIF with Facet Screw Fixation: A Finite Element Analysis and the Taguchi Method

2011 ◽  
Vol 27 (3) ◽  
pp. 309-320 ◽  
Author(s):  
C.-Y. Fan ◽  
C.-K. Chao ◽  
C.-C. Hsu ◽  
K.-H. Chao
Keyword(s):  
Finite Element ◽  
Taguchi Method ◽  
Screw Fixation ◽  
Three Dimensional ◽  
Element Model ◽  
Lateral Position ◽  
Element Analysis ◽  
Control Factors ◽  
Position And Orientation ◽  
Noise Factors

ABSTRACTAnterior Lumbar Interbody Fusion (ALIF) has been widely used to treat internal disc degeneration. However, different cage positions and their orientations may affect the initial stability leading to different fusion results. The purpose of the present study is to investigate the optimum cage position and orientation for aiding an ALIF having a transfacet pedicle screw fixation (TFPS). A three-dimensional finite element model (ALIF with TFPS) has been developed to simulate the stability of the L4/L5 fusion segment under five different loading conditions. The Taguchi method was used to evaluate the optimized placement of the cages. Three control factors and two noise factors were included in the parameter design. The control factors included the anterior-posterior position, the medio-lateral position, and the convergent-divergent angle between the two cages. The compressive preload and the strengths of the cancellous bone were set as noise factors. From the results of the FEA and the Taguchi method, we suggest that the optimal cage positioning has a wide anterior placement, and a diverging angle between the two cages. The results show that the optimum cage position simultaneously contributes to a stronger support of the anterior column and lowers the risk of TFPS loosening.

Sensor Egregium – An Atomic Force Microscope Sensor for Continuously Variable Resonance Amplification

2021 ◽  
pp. 1-23
Author(s):  
Rafiul Shihab ◽  
Tasmirul Jalil ◽  
Burak Gulsacan ◽  
Matteo Aureli ◽  
Ryan Tung
Keyword(s):  
Finite Element Analysis ◽  
Atomic Force Microscope ◽  
Natural Frequencies ◽  
Proof Of Concept ◽  
Element Analysis ◽  
Force Microscopy ◽  
Atomic Force ◽  
Wide Range ◽  
Curve Veering ◽  
Dynamic Phenomena

Abstract Numerous nanometrology techniques concerned with probing a wide range of frequency dependent properties would benefit from a cantilevered sensor with tunable natural frequencies. In this work, we propose a method to arbitrarily tune the stiffness and natural frequencies of a microplate sensor for atomic force microscope applications, thereby allowing resonance amplification at a broad range of frequencies. This method is predicated on the principle of curvature-based stiffening. A macroscale experiment is conducted to verify the feasibility of the method. Next, a microscale finite element analysis is conducted on a proof-of-concept device. We show that both the stiffness and various natural frequencies of the device can be highly controlled through applied transverse curvature. Dynamic phenomena encountered in the method, such as eigenvalue curve veering, are discussed and methods are presented to accommodate these phenomena. We believe that this study will facilitate the development of future curvature-based microscale sensors for atomic force microscopy applications.

scholarly journals Temperature-Dependence of Rubber Hyperelasticity Based on the Eight-Chain Model

Polymers ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 932 ◽  
Author(s):  
Xintao Fu ◽  
Zepeng Wang ◽  
Lianxiang Ma ◽  
Zhaoxuan Zou ◽  
Qingling Zhang ◽  
...  
Keyword(s):  
Experimental Data ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Natural Rubber ◽  
Temperature Dependence ◽  
Large Temperature ◽  
Chain Model ◽  
Element Analysis ◽  
Filled Rubber ◽  
Different Temperatures

Rubber-based materials are widely used in a variety of industrial applications. In these applications, rubber components withstand various loading conditions over a range of temperatures. It is of great significance to study the mechanical behavior of vulcanized rubber at different temperatures, especially in a range of high temperatures. The temperature dependence of the constitutive behavior of filled rubber is important for the performance of the rubber. However, only a few constitutive models have been reported that investigate the stress–temperature relationship. In this paper, based on an analysis of experimental data, the effects of temperature on the hyperelastic behaviors of both natural rubber and filled rubber, with different mass fractions of carbon black, were studied. The regulation of stress and strain of natural rubber and filled rubber with temperature was revealed. In addition, an eight-chain model that can reasonably characterize the experimental data at different temperatures was proved. An explicit temperature-dependent constitutive model was developed based on the Arruda-Boyce model to describe the stress–strain response of filled rubber in a relatively large temperature range. Meanwhile, it was proved that the model can predict the effect of temperature on the hyperelastic behavior of filled rubber. Finally, the improved Arruda-Boyce model was used to obtain the material parameters and was then successfully applied to finite element analysis (FEA), which showed that the model has high application value. In addition, the model had a simple form and could be conveniently applied in related performance test of actual production or finite element analysis.

Deformation of Filler Morphology in Strained Carbon Black Loaded Rubbers. A Study by Atomic Force Microscopy

1995 ◽  
Vol 68 (4) ◽  
pp. 652-659 ◽  
Author(s):  
S. Maas ◽  
W. Gronski
Keyword(s):  
Atomic Force Microscopy ◽  
Carbon Black ◽  
Average Distance ◽  
Rubber Matrix ◽  
Large Strains ◽  
Direction Parallel ◽  
Force Microscopy ◽  
Atomic Force ◽  
Affine Deformation ◽  
Filler Particles

Abstract The changes of the filler morphology of SBR vulcanizates loaded with 10 phr carbon black (N234 and N990) subjected to large strains were studied by Atomic Force Microscopy and image analysis. It was found that the filler particles tend to align in the force field. The average distance of the filler particles at the surface in the direction parallel and perpendicular to the strain direction is much smaller then according to affine deformation. The measurements give evidence of the inhomogeneous deformation of the rubber matrix and demonstrate the onset of failure at large deformation.

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