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| The time dependent dynamic solutions are obtained in analytical form. The solution shows that: (1) for elastic contact, the time rate of stress increasing is determined by the contact geometry and medium feature (no dependence on load force); (2) for plastic contact, the time rate of stress increasing is determined by the medium feature (no dependence on load force and contact geometry); (3) for cracking contact, reducing the radium of sphere will increase the cracking range size and the cracking tip transportation speed; (4) for a given sphere size, increase the load will increase the cracking range and increase the cracking tip transportation speed. The solution in this paper forms the basic solution for the dynamic contact problem. |
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| Keywords:cracking speed, stress increasing rate, cracking contact, contact dynamics, rational mechanics |
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