How Thermal Fluctuations Affect Hard-Wall Repulsion and Thereby Hertzian Contact Mechanics
نویسندگان
چکیده
منابع مشابه
Thermal-mechanical fluctuations enhance repulsion between bimolecular layers.
Beginning with the free energy potential for long-range interactions between parallel flat sheets and the mechanical energy of bending those sheets, we have derived an upper bound for repulsion enhanced by thermal undulations of sheets in a multilamellar array. Through a self-consistent (mean-field) potential, we cover the full range of layer separations from close-in to far-apart, where the en...
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We consider the harmonic crystal, or massless free field, φ = {φx}x∈Zd , d ≥ 3, that is the centered Gaussian field with covariance given by the Green function of the simple random walk on Z. Our main aim is to obtain quantitative information on the repulsion phenomenon that arises when we condition φx to be larger than σx, σ = {σx}x∈Zd is an IID field (which is also independent of φ), for ever...
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The forces acting on the substrate in intermittent-contact-mode (IC mode, tapping mode) atomic force microscopy are not accessible to a direct measurement. For an estimation of these forces, a simple analytical model is developed by considering only the shift of the cantilever resonance frequency caused by Hertzian (contact) forces. Based on the relationship between frequency shift and tip–samp...
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ژورنال
عنوان ژورنال: Frontiers in Mechanical Engineering
سال: 2019
ISSN: 2297-3079
DOI: 10.3389/fmech.2019.00067