Anisotropic Nonlinear Friction at Biomaterial Interfaces: Theory and Application

W. Mesfar, A. Shirazi-Adl, M. Dammak
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Abstract

The interface friction exists in natural and artificial joints as well as many engineering systems in which different bodies articulate. It often plays an important role in mechanics of the system. In the cementless arthroplasty, the friction between the prosthesis (including stems and screws) and the host bone is exploited to increase the stability of the operation. Our previous experimental studies have shown that the interface between bone and various porous coated surfaces exhibit a nonlinear friction that remains nearly the same in different directions; a nonlinear isotropic friction [1,2]. More recent bidirectional friction tests between cancellous bone or polyurethane cubes and a metallic porous coated plate have demonstrated that the interface load-displacement curve is highly nonlinear with significant coupling between two perpendicular directions [3]. Model studies incorporating measured nonlinear response have demonstrated the importance of proper simulation of nonlinear response as compared with Coulomb friction and of the coupling between orthogonal directions [3–5]. In this study, we aim to extend the earlier model studies to incorporate nonlinear direction-dependent anisotropic friction between two surfaces. Our objectives are set to: (a) develop constitutive equations to present interfaces with nonlinear anisotropic friction properties; and (b) implement and apply in a finite element study of a cube resting on a block subjected to normal and shear loads.
生物材料界面的各向异性非线性摩擦:理论与应用
界面摩擦存在于自然关节和人工关节中,也存在于许多不同物体相互连接的工程系统中。它通常在系统的机制中扮演着重要的角色。在无骨水泥关节成形术中,利用假体(包括假体柄和螺钉)与宿主骨之间的摩擦来增加手术的稳定性。我们之前的实验研究表明,骨与各种多孔涂层表面之间的界面表现出非线性摩擦,在不同方向上保持几乎相同;非线性各向同性摩擦[1,2]。最近的松质骨或聚氨酯立方体与金属多孔涂层板之间的双向摩擦试验表明,界面载荷-位移曲线高度非线性,两个垂直方向之间存在显著耦合[3]。包含实测非线性响应的模型研究表明,与库仑摩擦相比,适当模拟非线性响应以及正交方向之间耦合的重要性[3-5]。在这项研究中,我们的目标是扩展早期的模型研究,以纳入两个表面之间的非线性方向相关的各向异性摩擦。我们的目标是:(a)建立本构方程来表示具有非线性各向异性摩擦特性的界面;(b)实施并应用于一个立方体的有限元研究,该立方体位于一个承受正常和剪切载荷的块上。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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