EAGER: The Burridge-Willis-Eshelby Waves from a Self-Similarly Expanding Ellipsoidal Region of Phase Change and Application to Deep-Focus Earthquakes

EARLY概念探索性研究资助（EAGER）奖支持基础研究，以获得Burridge-Willis-Eshelby波问题的声学和能量方面的完整力学分析。该模型将用于预测在产生深源地震的过程中由于相变而产生的声发射，这是一种50多年来一直无法建模的物理现象。这些结果将使应用力学研究人员和地球物理研究界之间的未来合作能够对深源地震的现场数据进行定量预测和解释。该项目还将与加州大学圣地亚哥分校正在进行的女性研究人员指导计划相联系。将导出自相似膨胀椭球区域发射波的解决方案模型，其中材料在高压下膨胀时发生相变。这个问题构成了动态推广的种子Eshelby椭球包含问题的各向同性和各向异性。将获得的等效转换应变的特定相变发生在实验模拟和理论的声发射将与实验从以前的物理研究。

This EArly-concept Grant for Exploratory Research (EAGER) award supports fundamental research to obtain the complete mechanics based analysis of the acoustic and energetic aspects of the Burridge-Willis-Eshelby wave problems. This model will be applied to predict the acoustic emissions due to phase transitions in the process that generates deep focus earthquakes, a physical phenomenon that has defied modeling for over 50 years. The results would enable future collaborations between applied mechanics researchers and the geophysical research community to perform quantitative predictions and interpretation of field data on deep focus earthquakes. The project will also connect to ongoing mentoring programs for women researchers at the University of California - San Diego.A model of the solution for waves emitted by a self-similarly expanding ellipsoidal region, in which the material undergoes phase change as it expands under high pressure, will be derived. This problem constitutes the dynamic generalization of the seminal Eshelby ellipsoidal inclusion problem both in isotropy and anisotropy. The equivalent transformation strain will be obtained for the specific phase transitions occurring in the experimental analogs and the theoretical acoustic emissions will be compared with experimental ones from previous geophysics research.