Unconventional friction theory based on the subloading surface concept
Unconventional friction theory based on the subloading surface concept
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DOI：
10.1016/j.ijsolstr.2004.08.006
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发表时间：
2005-03
影响因子：
3.6
通讯作者：
K. Hashiguchi;S. Ozaki;T. Okayasu
中科院分区：
文献类型：
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作者：
K. Hashiguchi;S. Ozaki;T. Okayasu
描述摩擦现象的本构模型是通过结合次加载表面的概念来制定的[Hashiguchi，K.，1978.颗粒材料塑性本构方程。见：美国-日本研讨会连续机械统计。在大约Mech. Granular Materials，Sendai，pp. 321-329; Hashiguchi，K.，1980.具有弹塑性转变的弹塑性材料本构方程。J. Appl. Mech.（ASME）47（1980）266-272; Hashiguchi，K.，1989.非常规塑性力学中的次加载面模型。Int. J. Solids Struct.25（1989）917-945]，属于非常规塑性的框架[Drucker，D.C.，1988.传统和非传统的塑料反应和表现。（ASME）41（1988）151-167]，其排除了屈服面内部是纯弹性域的前提。它描述了接触表面上法向和切向力之间的非线性关系。此外，它预测了随着牵引力的增加滑动位移的渐进过程，因此不需要关于满足滑动条件的判断。这是在传统的摩擦模型与滑动面封闭的弹性域，其中这种渐进的进展不能被描述和判断是必需的。因此，在本摩擦模型中，即使在显式数值方法中，也允许具有大加载步长的粗略数值计算。此外，利用该摩擦模型对典型摩擦边值问题进行了有限元分析。
A constitutive model for the description of friction phenomena is formulated by incorporating the concept of the subloading surface [Hashiguchi, K., 1978. Plastic constitutive equations of granular materials. In: Proc. US–Japan Seminar Continuum Mech. Stast. Appr. Mech. Granular Materials, Sendai, pp. 321–329; Hashiguchi, K., 1980. Constitutive equations of elastoplastic materials with elastic–plastic transition. J. Appl. Mech. (ASME) 47 (1980) 266–272; Hashiguchi, K., 1989. Subloading surface model in unconventional plasticity. Int. J. Solids Struct. 25 (1989) 917–945] falling within the framework of unconventional plasticity [Drucker, D.C., 1988. Conventional and unconventional plastic response and representation. Appl. Mech. Rev. (ASME) 41 (1988) 151–167], which excludes the premise that the interior of a yield surface is a purely elastic domain. It describes the nonlinear relationship between the normal and tangential tractions on a contact surface. Furthermore, it predicts the gradual progress of sliding displacement with an increase in traction, and thus a judgment regarding the fulfillment of the sliding condition is not necessary. This is in contrast to a conventional friction model with a sliding surface enclosing an elastic domain, in which such gradual progress cannot be described and the judgment is required. Thus, a rough numerical calculation with large loading steps even in the explicit numerical method is allowed in the present friction model. In addition, typical friction boundary value problems are analyzed by the finite element method incorporating the present friction model.