本研究主要以有限元素法探討彈性體之滾壓接觸行為；其中包括兩種情形: 一是彈性圓柱在剛性平面上的滾壓接觸，另一為剛性圓柱在有限厚度彈性層上的滾壓接觸。本研究假設滾動速度為常數，因此滾壓接觸產生之現象在任何瞬時皆相同，利用靜態分析探討接觸面的應力場分佈，進而得知接觸面間可能產生相對滑動的範圍。並討論物體間的接觸摩擦條件對結果的影響，包含兩物體間滾壓接觸的蠕變比(creep ratio)以及施加於圓柱體上的轉動彎矩。預期結果有助於工業上的應用。

We studied in detail the rolling contact between elastic bodies using finite element method. There are two cases discussed in this thesis, one is the rolling contact of an elastic cylinder on a rigid surface, and the other is that of a rigid cylinder on an elastic finite layer. This research assumed that the rolling speed is constant so that the behavior of rolling contact is identical at any instant time. Therefore, the stress field within the contact region can be analyzed using static analysis. Furthermore, the range of slip zone on the contact between two bodies can be obtained. We also discussed the effects of friction condition in the contact region on the results, including the creep ratio caused by the rolling contact between two bodies and the rotating moment applied on the cylinder. We expect that the results will be helpful to industrial applications.

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[6] ABAQUS 6.6 User’s Manual