Multiscale Materials Modeling

Multiscale materials modeling connects microscopic structure, mesoscopic organization, and macroscopic material behavior. Observable properties of solids, soft matter, biomembranes, and complex materials often result from interactions across several length and time scales, from atoms and molecules to microstructures and continuum-level response.

This page summarizes earlier research work by Martin O. Steinhauser on multiscale modeling, molecular dynamics, coarse-grained simulation, continuum-based simulation methods, and high-performance scientific computing. The aim of this work was to understand how microscopic structure and local interactions influence effective macroscopic properties such as elasticity, failure, damage evolution, transport, and mechanical response under loading.

A conceptual hierarchy of multiscale materials modeling is shown in Figure 1. It illustrates the connection between models, experiments, microscopic structure, mesoscopic organization, and engineering-scale material behavior. The central problem is that no single numerical method can usually resolve all relevant scales at once. Atomistic simulations provide detailed microscopic information but are limited in system size and accessible time scales. Continuum methods can describe large structures and engineering-scale behavior but require effective material models and constitutive information. Multiscale modeling bridges these levels by combining information from different simulation approaches and, where available, experimental validation.

Figure 2 shows an example of a multiscale simulation setup in which continuum-level descriptions are combined with coarse-grained molecular modeling of a biomembrane system. Such approaches are used to transfer physically meaningful information between different levels of description without reducing the material response to a single scale.