Analytical Solution of Permanent Deformations and Sliding Lengths during the Elasto-plastic Oblique Contact-impacts
For the design and applications of mechanical systems,the elasto-plastic contact impact phenomenon among the multi-body surfaces was one of the key mechanics problems,which contained complex physical and mechanics properties.There still were many controversies and mysteries regard-ing the analysis and characterization of key parameters such as contact force.For the elasto-plastic ob-lique contact-impact events,the calculated formulas of instantaneous contact forces and contact de-formations were established based on the Brake indentation model,and the elasto-plastic contact im-pact process from the contact deformations was described systematically in detail.The internal rela-tionship among impact duration,permanent deformation and sliding length was analyzed analytically based on the generalized momentum theorem,and the permanent deformations and sliding lengths ex-pressed in the integral form were obtained respectively,and then,combined with testing data for the motions of the impact objects before and after contact impact reported in literatures,the analytical so-lution was obtained.The deformation region of the impacted object after the contact impact was meas-ured,and the comparative analysis was also performed.The experimental and numerical results show that the calculated results of the permanent deformations and sliding lengths solved by using the ap-proach developed by the generalized momentum theorem are found to be in good agreement with the experimental data.And this approach yields more accurate results compared to the direct integration of mathematical equations using the Brake indentation model.
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