Static adhesion hysteresis in elastic structures
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Abstract:
Adhesive interactions between elastic structures such as graphene sheets, carbon nanotubes, and microtubules have been shown to exhibit hysteresis due to irrecoverable energy loss associated with bond breakage, even in static (rate-independent) experiments. To understand this phenomenon, we start with a minimal theory for the peeling of a thin sheet from a substrate, coupling the local event of bond breaking to the nonlocal elastic relaxation of the sheet and show that this can drive static adhesion hysteresis over a bonding/debonding cycle. Using this model we quantify hysteresis in terms of the adhesion and elasticity parameters of the system. This allows us to derive a scaling relation that preserves hysteresis at different levels of granularity while resolving a seeming paradox of lattice trapping in the continuum limit of a discrete fracture process. Finally, to verify our theory, we use new experiments to demonstrate and measure adhesion hysteresis in bundled microtubules.Keywords:
Hysteresis
Elasticity
Elastic energy
Breakage
Mode coupling
Breakage
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Abrasion (mechanical)
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Breakage
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Breakage
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The recently developed framework for modeling grain breakage in granular materials is shown to be valid for saturated/unsaturated conditions. The model describes the initiation, development, and stabilization of breakage using three parameters, all depending on the strength of a representative particle size. When water is introduced, the strength of the soil's particles is expected to weaken, which leads to increased breakage intensities. The model is able to predict the early onset of crushing and the increase in particle breakage rate, both considered characteristic behaviors of a crushable granular medium in wet conditions. Initially dry and saturated model lines limit the evolution of the model parameters in the intermediate saturation states. A mid-loading change in the saturation of the granular medium results in an increased rate of particle breakage. The experimental data available in the literature is analyzed in light of the proposed model, which allows a better understanding of the development of particle breakage under the influence of water.
Breakage
Saturation (graph theory)
Particle (ecology)
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Crusher
Comminution
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In general, the rates of released elastic strain energy, kinetic energy and work done required for creating new surfaces are the determinate factors governing the propagation of brittle fracture.In the previous report, the dynamical stress field in a plate having an enlarging slit at a constant speed subjected to a uniform tensile stress normal to the direction of the crack was obtained.In this report, the release rate of elastic strain energy in a plate having an enlarging slit at a constant speed was calculated by using the dynamical stresses obtained in the previous report. The release rate of elastic strain energy decreases with the crack speed ratio.
Brittleness
Elastic energy
Constant (computer programming)
Brittle fracture
Stress field
Strain energy
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Breakage
Nijmegen breakage syndrome
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Plate theory
Mode coupling
Shearing (physics)
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