Complex fields in heterogeneous materials under shock: modeling, simulation and analysis

TL;DR

This paper reviews recent advances in modeling, simulation, and analysis of shock responses in heterogeneous materials across multiple scales, emphasizing methodologies, key techniques, and new observations.

Contribution

It provides a comprehensive overview of multi-scale modeling approaches and introduces new analysis tools and observations in the study of shock effects in heterogeneous materials.

Findings

Development of multi-scale modeling frameworks

Introduction of the GISO software for morphological analysis

New insights into shock response behaviors across scales

Abstract

In this mini-review we summarize the progress of modeling, simulation and analysis of shock responses of heterogeneous materials in our group in recent years. The basic methodology is as below. We first decompose the problem into different scales. Construct/Choose a model according to the scale and main mechanisms working at that scale. Perform numerical simulations using the relatively mature schemes. The physical information is transferred between neighboring scales in such a way: The statistical information of results in smaller scale contributes to establishing the constitutive equation in larger one. Except for the microscopic Molecular Dynamics (MD) model, both the mesoscopic and macroscopic models can be further classified into two categories, solidic and fluidic models, respectively. The basic ideas and key techniques of the MD, material point method and discrete Boltzmann method are briefly reviewed. Among various schemes used in analyzing the complex fields and structures, the morphological analysis and the home-built software, GISO, are briefly introduced. New observations are summarized for scales from the larger to the smaller.