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**Analysis of repeated impacts on a steel rod with visco-plastic material behavior.**
*(English)*
Zbl 1278.74134

Summary: In machine dynamics impacts are usually common phenomena, resulting from collisions of moving bodies. Even low velocity impacts might produce high stresses in the contact region, which result in inelastic deformation. Thereby, visco-plastic materials, such as steel, show a significant increase of the yield stress with the strain rate. In machine dynamics repeated collisions occur, resulting in repeated impacts on a previously deformed contact area. Then, inelastic deformation and the resulting residual stresses produced by previous impacts have an influence on the behavior of the following impacts. Thus, the impact behavior varies with the number of impacts. This paper presents a numerical and experimental evaluation of repeated impacts with identical impact velocity up to 3 m/s, whereby the deformation history of the contact area, due to previous impacts, is included. The approach is applied to longitudinal impacts of an elastic steel sphere on a steel rod with distinct visco-plastic material behavior which is identified by Split Hopkinson Pressure Bar tests. A Finite Element analysis and experimental verification using two Laser-Doppler-Vibrometers are performed. It is shown that for an accurate impact simulation the FE model must include the visco-plastic material behavior of the steel. Further it is found that the maximal contact force, the rebound velocity and the coefficient of restitution increase with the number of impacts, while the contact duration decreases with the number of impacts. After several impacts these quantities show saturation to a constant value, indicating no significant additional inelastic deformation in the later impacts. Further, the residual stress distribution, the maximal von Mises stress distribution and the local deformation at the contact point are evaluated and a characteristic force-deformation diagram is obtained. Finally, an analysis is performed to describe the relation between maximal force and remaining crater at the contact point.

### MSC:

74M20 | Impact in solid mechanics |

74C10 | Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) |

74S05 | Finite element methods applied to problems in solid mechanics |

74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |

74-05 | Experimental work for problems pertaining to mechanics of deformable solids |

### Keywords:

repeated impacts; strain rate sensitivity; visco-plastic material; coefficient of restitution; finite element simulation; experiments### Software:

LS-DYNA
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\textit{H. Minamoto} et al., Eur. J. Mech., A, Solids 30, No. 3, 336--344 (2011; Zbl 1278.74134)

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### References:

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