Adaptive Modeling of Wave Propagation in Heterogeneous Elastic Solids

摘要

This document presents the results of a detailed research investigation on a fundamental problem in wave mechanics: the propagation of stress waves in heterogeneous elastic solids. this phenomenon is fundamental to many disciplines in engineering and mathematical physics: seismology, earthquake engineering structure acoustics, composite materials, and many other areas. The theory and methodologies of hierarchical modeling of heterogeneous materials are extended to elastodynamic cases to make possible the control of the modeling error in the local average stress. One-dimensional steady state and transient applications are given.