Elastoplastic contact/impact of rigidly supported composites

Majeed, Majed A.; Yiğit, Ahmet S.; Christoforou, Andreas P.

doi:10.1016/j.compositesb.2011.08.053

Cited by 49 publications

(51 citation statements)

References 39 publications

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“…In order to ensure convergence of the solution, the Newmark scheme normally requires the application of a fine-tuned time increment and involves many iteration steps. Majeed et al [6] used a nonlinear Finite Element Method (FEM) to obtain the force-time history of an elastoplastic half-space impact, and the FEM results were found to be in good agreement with the results obtained from the simulation of equation (1) Consequently, the NDSolve function may not produce convergent solutions in some cases.…”

Section: Introductionmentioning

confidence: 76%

“…In this section, the FILM has been used to develop solutions for the impact response of an elastoplastic halfspace impact. According to Majeed et al [6], the contact law for an elastoplastic half-space impacted by a spherical projectile can be expressed as:…”

Section: Solution Of Elastoplastic Half-space Impact Using the Filmmentioning

confidence: 99%

“…1), and they introduce more computational difficulties when solved numerically. A simpler contact model for analysis of elastoplastic impact has been developed in [6]. All the stages considered in this model are expressed in terms of Meyer's law.…”

Section: Introductionmentioning

confidence: 99%

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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: Introductionmentioning

confidence: 76%

Section: Solution Of Elastoplastic Half-space Impact Using the Filmmentioning

confidence: 99%

See 1 more Smart Citation

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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show abstract

“…The present contact model predicts a maximum indentation of 0.37 [mm] and a permanent indentation of 59. 8 [μm], the contact model of Majeed et al [23] predicts 0.38 [mm] and 65.7 [μm] respectively, while the Hertz contact model predicts a maximum indentation of 0.34 [mm] and no permanent indentation. This shows that the contact model used for estimating the impact force of a large-mass impact can significantly affect the accuracy of the predictions and limit the information that can be obtained.…”

Section: Effect Of Number Of Vibration Modes Used In the Solutionmentioning

confidence: 99%

“…Effect of contact model used to estimate the impact force To investigate the effect of the contact model used to estimate the impact force on the response predicted, the results of three contact models (i.e. the present contact model, the contact model of Majeed et al [23] and the Hertz contact model) were compared. An initial impact velocity of 2.0 [m/s] was used in the simulations to ensure that the indentation response is well into the elastoplastic stage.…”

Section: Effect Of Number Of Vibration Modes Used In the Solutionmentioning

confidence: 99%