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This article presents a new force model for performing quantitative simulations of dense granular materials. Interactions between multiple contacts (MC) on the same grain are explicitly taken into account. Our readily applicable method…

Soft Condensed Matter · Physics 2018-10-22 Nicolas Brodu , Joshua A. Dijksman , Robert P. Behringer

The computational modeling of many engineering problems using the Finite Element method involves the modeling of two or more bodies that meet through an interface. The interface can be physical, as in multi-physics and contact problems, or…

Numerical Analysis · Computer Science 2009-09-30 G. Haikal

Simulation approaches for fluid-structure-contact interaction, especially if requested to be consistent even down to the real contact scenarios, belong to the most challenging and still unsolved problems in computational mechanics. The main…

Computational Engineering, Finance, and Science · Computer Science 2018-09-12 Christoph Ager , Benedikt Schott , Anh-Tu Vuong , Alexander Popp , Wolfgang A. Wall

We developed the models and algorithms to describe two main artefacts of AFM: (i) broadening effect and (ii) decreased heights of profiles for individual objects adsorbed on a hard substrate. It was shown how to measure elastic properties…

Soft Condensed Matter · Physics 2015-03-19 Marat Olegovich Gallyamov

This study presents a novel, versatile traction force microscopy framework for quantifying three-dimensional (3D) interfacial forces during bio-adhesion by integrating in situ stereo digital image correlation with finite element (FE)…

Instrumentation and Detectors · Physics 2026-01-09 Yingwei Hou , Fusheng Wang , Tao Liu

Crack micro-geometries and tribological properties pose an important impact on the elastic characteristics of fractured rocks. Numerical simulation as a promising way for this issue still faces some challenges. With the rapid development of…

Geophysics · Physics 2020-11-04 Ning Liu

We study experimentally and theoretically the equilibrium adhesive contact between a smooth glass lens and a rough rubber surface textured with spherical microasperities with controlled height and spatial distributions. Measurements of the…

Soft Condensed Matter · Physics 2019-03-26 Vito Acito , Michele Ciavarella , Alexis M Prevost , Antoine Chateauminois

Atomic force spectroscopy and microscopy (AFM) are invaluable tools to characterize nanostructures and biological systems. Most experiments, including state-of-the-art images of molecular bonds, are achieved by driving probes at their…

In this work, we report the integration of an atomic force microscope (AFM) into a helium ion microscope (HIM). The HIM is a powerful instrument, capable of sub-nanometer resolution imaging and machining of nanoscale structures, while the…

Instrumentation and Detectors · Physics 2020-04-02 Santiago H. Andany , Gregor Hlawacek , Stefan Hummel , Charlène Brillard , Mustafa Kangül , Georg E. Fantner

Since the inception of the atomic force microscope AFM, dynamic methods have been very fruitful by establishing methods to quantify dissipative and conservative forces in the nanoscale and by providing a means to apply gentle forces to the…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Sergio Santos , Karim Gadelrab , Chia-Yun Lai , Tuza Olukan , Josep Font , Victor Barcons , Albert Verdaguer , Matteo Chiesa

A method for quasistatic cohesive fracture is introduced that uses an alternating direction method of multipliers (ADMM) to implement an energy approach to cohesive fracture. The ADMM algorithm minimizes a non-smooth, non-convex potential…

Numerical Analysis · Mathematics 2022-02-15 James Petrie , M. Reza Hirmand , Katerina D. Papoulia

Cellulose, as a naturally abundant and biocompatible material, is still gaining interest due to its high potential for functionalization. This makes cellulose a promising candidate for replacing plastics. Understanding how cellulose…

The so-called indentation stiffness tomography technique for detecting the interior mechanical properties of an elastic sample with an inhomogeneity is analyzed in the framework of the asymptotic modeling approach under the assumption of…

Analysis of PDEs · Mathematics 2013-11-22 Ivan Argatov

We demonstrate the application of Atomic Force Microscopy (AFM) based optical force microscopy to map the optical near-fields with nanometer resolution, limited only by the AFM probe geometry. We map the electric field distributions of…

High-frequency micrometrical vibrations have been shown to greatly influence the adhesive performance of soft interfaces, however a detailed comparison between theoretical predictions and experimental results is still missing. Here, the…

Soft Condensed Matter · Physics 2024-12-16 Michele Tricarico , Michele Ciavarella , Antonio Papangelo

Surface topography strongly modifies adhesion of hard-material contacts, yet roughness of real surfaces typically exists over many length scales. This investigation aims to determine which scales of topography have the strongest effect on…

Soft Condensed Matter · Physics 2021-08-06 Luke A. Thimons , Abhijeet Gujrati , Antoine Sanner , Lars Pastewka , Tevis D. B. Jacobs

Material indentation studies, in which a probe is brought into controlled physical contact with an experimental sample, have long been a primary means by which scientists characterize the mechanical properties of materials. More recently,…

Applications · Statistics 2011-10-03 Daniel Rudoy , Shelten G. Yuen , Robert D. Howe , Patrick J. Wolfe

Analytical contact mechanics theories depend on surface roughness through the surface roughness power spectrum. In the present study, we evaluated the usability of various experimental methods for studying surface roughness. Our findings…

Materials Science · Physics 2024-08-13 N. Rodriguez , L. Gontard , C. Ma , R. Xu , B. N. J. Persson

We suggest simple model of image formation in atomic force microscope (AFM) taking into account contact deformations of probe and sample during scanning. The model explains the possibility of AFM visualization of regular atomic or molecular…

Materials Science · Physics 2011-07-25 M. O. Gallyamov , I. V. Yaminsky

Adhesive [e.g. van der Waals] forces were not generally taken into account in contact mechanics until 1971, when Johnson, Kendall and Roberts (JKR) generalized Hertz' solution for an elastic sphere using an energetic argument which we now…

Soft Condensed Matter · Physics 2018-10-11 M. Ciavarella , J. Joe , A. Papangelo , JR Barber
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