Theoretical Analysis of Joint Friction

沃尔什裂缝在地壳中无处不在，其大小从微裂缝到节理和构造断层不等。它们在正向和剪切荷载作用下的构造行为在地震学和构造学研究中具有重要意义。PI提出了一个理论分析，两个粗糙表面之间的滑移，由正常和剪切拉力加载。这两个物体被视为弹性半空间，名义上接触是平面的。表面的形貌是高斯的，模拟了实验室和现场样品的统计特性。随着剪应力的增加，在轻载荷的凸起处发生抗库仑摩擦滑移，并逐渐扩散到更高法向应力下的接触处。PI开发了一种理论，可以用数学方法描述这一过程，并将其应用于接触面间距很大的情况。这些初步结果与已发表的实验数据吻合良好。这项工作将把理论扩展到正常应力高到足以引起完全接触的缺陷。

9903217 Walsh Fractures are ubiquitous in Earth's crust, and range in size from micro-cracks to joints and tectonic faults. Their tectonic behavior under normal and shear loading has fundamental importance in seismology and tectonic studies. The PI proposes a theoretical analysis of slip between two rough surfaces that are loaded by normal and shear tractions. The two bodies are treated as elastic half -spaces, and the contact is nominally planar. The topography of the surfaces is Gaussian, simulating the statistical properties of samples from the laboratory and the field. As shear stress is increased, slip against Coulomb friction occurs at lightly loaded asperities, gradually spreading to contacts under higher normal stress. The PI has developed theory that describes the process mathematically and has applied it to the case where the contacts are widely spaced. These preliminary results show good agreement with published experimental data. This work will extend the theory to fualts where normal stress is high enough to cause complete contact.