Adhesion is one of essences with respect to rubber friction because the magnitude of the friction force is closely related to the magnitude of adhesion on a real contact area. However, the real contact area during sliding depends on the state and history of the contact surface. Therefore, the friction force occasionally exhibits rate-, state-, and pressure dependency. In this study, to rationally describe friction and simulate boundary value problems, a rate-, state-, and pressure-dependent friction model based on the elastoplastic theory was formulated. First, the evolution law for the friction coefficient was prescribed. Next, a nonlinear sliding surface (frictional criterion) was adopted, and several other evolution laws for internal state variables were prescribed. Subsequently, the typical response characteristics of the proposed friction model were demonstrated, and its validity was verified by comparing the obtained results with those of experiments conducted considering the contact surface between a rough rubber hemisphere and smooth acrylic plate.

中文翻译：

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基于弹塑性理论的速率，状态和压力相关的摩擦模型

对于橡胶摩擦，粘合力是本质之一，因为摩擦力的大小与实际接触区域上的粘合力大小密切相关。但是，滑动过程中的实际接触面积取决于接触面的状态和历史。因此，摩擦力有时表现出速率，状态和压力依赖性。在这项研究中，为了合理地描述摩擦并模拟边界值问题，基于弹性塑性理论，建立了速率，状态和压力相关的摩擦模型。首先，规定了摩擦系数的演化规律。接下来，采用非线性滑动表面（摩擦准则），并为内部状态变量规定了其他几种演化规律。后来，