Energy absorbed by elastic waves during plastic impact

Hutchings, I.M.

doi:10.1088/0022-3727/12/11/010

Cited by 83 publications

(38 citation statements)

References 10 publications

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“…It has been shown that during low to moderate velocity impact on a half-space the energy absorbed in the form of elastic waves can be neglected for both elastic [9] and elastoplastic [10] impact. Also, frictional losses and rate effects are negligible because impacts with moderate velocities can be safely dealt with using quasi-static assumptions [1].…”

Section: Linearised Force-indentation Relationship For Each Discretismentioning

confidence: 99%

Algorithm for the solution of elastoplastic half-space impact: Force-indentation linearisation method

Big‐Alabo

Harrison

Cartmell

2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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The governing equation of a half-space impact is generally nonlinear and it is normally solved using numerical techniques that are mostly conditionally stable and require many iteration steps for convergence of the solution. In this paper, we present the forceindentation linearisation method (FILM), an approximate technique that produces closedform solutions of piecewise linearisation of the governing nonlinear differential equation and is capable of producing accurate impact response for an elastoplastic half-space impact.In contrast to the existing numerical techniques, which discretise the impact force or variable of interest in the time-domain, the present technique discretises the impact force with respect to the indentation using successive piecewise linear approximations.Generalised closed-form solutions were derived for each piecewise approximation, and this was used to develop an iterative algorithm for updating the solutions from one piecewise approximation to the next. The results of the present technique matched with results obtained by direct numerical integration of the governing nonlinear differential equation for 1 Corresponding author: Systems, Power and Energy Research Division, School of Engineering, University of Glasgow, G12 8QQ, Glasgow Scotland, UK. Email: a.big-alabo.1@research.gla.ac.uk 2 a half-space impact, and the FILM was found to converge to the results of the numerical solution after a few iterations; typically between five and ten iterations. The FILM is simple, inherently stable, converges quickly, gives accurate results, and it can be implemented manually; these features makes it potentially more attractive than the comparable numerical methods.

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Section: Linearised Force-indentation Relationship For Each Discretismentioning

confidence: 99%

Algorithm for the solution of elastoplastic half-space impact: Force-indentation linearisation method

Big‐Alabo

Harrison

Cartmell

2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Energy loss could occur during plastic deformation, adhesion, friction and vibration. A number of researchers have predicted the energy loss to elastic deformation when a particle strikes a surface and have shown that a small fraction of the kinetic energy is lost (Hunter, 1957;Hutchings, 2001). The coefficient of restitution for impaction of different type of micron particles to a hard smooth surface was in the range of 0.73 to 0.84 (Wall et al, 1990).…”

Section: Analytical Workmentioning

confidence: 99%

An Overview of Airborne Nanoparticle Filtration and Thermal Rebound Theory

Givehchi

Tan

2014

Aerosol Air Qual. Res.

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This paper provides an overview of recent studies on the filtration of airborne nanoparticles. Classical filtration theory assumes that the efficiency of nanoparticle adhesion is at unity when nanoparticles strike a filter with a Brownian motion. However, it has been pointed out that small nanoparticles may have a sufficiently high impact velocity to rebound from the surface upon collision, a mechanism called thermal rebound. According to thermal rebound theory, the adhesion efficiency of nanoparticles decreases if their size is reduced. However, this phenomenon has not yet been clearly observed in experimental studies; there are still a number of uncertainties associated with the concept of thermal rebound, which is yet to be either proven or disproven. This review paper discusses the findings in the current literature related to thermal rebound theory.

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“…An examination of the energy balance during the impact indicates that at least 90% of the initial kinetic energy of the particle is dissipated in plastic deformation in the target and confirms that it is permissible, for the purpose of this calculation, to ignore elastic effects. Figure 2 illustrates how the initial kinetic energy of an erosive particle is partitioned after normal impact: the kinetic energy of the rebounding particle is estimated from measured coefficients of restitution of erosive grit particles (20)(21)(22)) and the energy radiated into the target as elastic waves may be estimated theoretically (23). No great error is introduced by assuming that all the initial kinetic energy of the particle is available to form the indentation, the volume, v, of which will therefore be given by: (4) This relationship was first determined empirically by Martel in 1895 (24) and will be approximately true for impacts on metals by erosive particles of any shape at the impact velocities typical of erosion (~10-500 m s-1 ), provided that the particle does not deform or fracture and that elastic effects can be neglected.…”

Section: B Calculation Of Ion Ratementioning

confidence: 99%

A model for the erosion of metals by spherical particles at normal incidence

Hutchings

1981

Wear

386

136

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A theoretical analysis is presented for the erosion of metals by spheres at normal incidence. The model employs a criterion of critical plastic strain to determine when material will be removed, and predicts velocity exponents of 3 for erosion and -2 for the mass of spherical particles which must hit the surface before material is removed. The mechanical properties of the metal are described by two quantities: its dynamic hardness and its ductility under erosion conditions. Data obtained in experiments with aluminium alloys as well as previously published data are compared with the theory.

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Energy absorbed by elastic waves during plastic impact

Cited by 83 publications

References 10 publications

Algorithm for the solution of elastoplastic half-space impact: Force-indentation linearisation method

Algorithm for the solution of elastoplastic half-space impact: Force-indentation linearisation method

An Overview of Airborne Nanoparticle Filtration and Thermal Rebound Theory

A model for the erosion of metals by spherical particles at normal incidence

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