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<p>The current article introduces an analytical approach for predicting the dynamics of oblique elastoplastic collision. A new model is proposed to characterize the rebound behavior of spherical particles during such impacts, estimating changes in both normal and tangential coefficients of restitution (COR) with respect to non-dimensional impact velocities. The model, rooted in stick–slip theory, encompasses rotational and slip velocity components. The proposed model demonstrates a good agreement with finite element analysis (FEA) and experimental findings of Nobre et al. (Wear 230:133–145, 1999). The model is also compared with the previous model, and an improved correlation with the FEA is produced on the evaluation of impulse ratio. The study delves into the effect of transitioning from stick to slip stages on various output parameters. Additionally, it explores the variations in rebound angle and COR with respect to non-dimensional tangential impact velocities. The concept of the Slip factor is introduced, shedding light on the interplay between stick and slip behaviors during oblique collisions. Lastly, a robust and validated contact model is presented, applicable across a wide range of normal and tangential impact velocities. This research contributes a comprehensive understanding of elastoplastic collision and offers a reliable interactive model for characterizing their complex dynamics.</p>

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An analytical prediction of oblique impact characteristics for elastoplastic collisions

  • 期刊论文

  • 发表日期：

    2025年8月18日

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  • Sourabh Mukhopadhyay,
  • Prasanta Kumar Das,
  • Neerav Abani

摘要

The current article introduces an analytical approach for predicting the dynamics of oblique elastoplastic collision. A new model is proposed to characterize the rebound behavior of spherical particles during such impacts, estimating changes in both normal and tangential coefficients of restitution (COR) with respect to non-dimensional impact velocities. The model, rooted in stick–slip theory, encompasses rotational and slip velocity components. The proposed model demonstrates a good agreement with finite element analysis (FEA) and experimental findings of Nobre et al. (Wear 230:133–145, 1999). The model is also compared with the previous model, and an improved correlation with the FEA is produced on the evaluation of impulse ratio. The study delves into the effect of transitioning from stick to slip stages on various output parameters. Additionally, it explores the variations in rebound angle and COR with respect to non-dimensional tangential impact velocities. The concept of the Slip factor is introduced, shedding light on the interplay between stick and slip behaviors during oblique collisions. Lastly, a robust and validated contact model is presented, applicable across a wide range of normal and tangential impact velocities. This research contributes a comprehensive understanding of elastoplastic collision and offers a reliable interactive model for characterizing their complex dynamics.