Theoretical Investigations of Nonlinear Elastic Properties of Rock

这项研究是对岩石非线性弹性特性的理论研究。这种描述固结材料弹性特性的范例的中心结构是Preisach-Mayergoyz空间，在这个压力空间中，微观机械单元的密度被追踪为裂缝打开或关闭时特征压力的函数。该理论可用于预测应力-应变状态方程（具有迟滞和离散记忆）、静态模量与动态模量之比以及样品内二次谐波产生的幅度。岩石（和其他固结材料）的非线性弹性行为理论的成功将为将非线性实验研究转化为岩石性质的定量测量提供必要的工具。岩石的非线性弹性特性是地震破裂前岩石状态理论的重要组成部分。这项研究是国家减少地震危害计划的一个组成部分。＊＊＊

9528965 McCALL This research is a theoretical investigation of the non-linear elastic properties of rocks. The central construct of this paradigm for the description of the elastic properties of consolidated materials is the Preisach-Mayergoyz space, the pressure space in which a density of microscopic mechanical units is tracked as a function of the characteristic pressures at which cracks are opened or closed. This theory can be used to predict the stress-strain equation of state (with hysteresis and discrete memory), the ratio of static to dynamic modulus, and the amplitude of second harmonic generation within a sample. A successful theory of nonlinear elastic behavior in rock (and other consolidated materials) will provide a necessary tool for turning nonlinear experimental investigation into quantitative measures of rock properties. Non-linear elastic behavior of rocks is an important component of theories of the state of rock prior to earthquake rupture. This research is a component of the National Earthquake Hazard Reduction Program. ***