The application of heterogeneous materials has become common in modern product design
such as composites and porous media. Computational design tools for such materials, with …

In multiscale materials modeling, it is desirable that different levels of details can be
specified in different regions of interest without the separation of scales so that the geometric …

Computer-aided materials design requires new modeling approaches to characterize and
represent fine-grained geometric structures and material compositions at multiple scales …

Computational design of structures and materials requires multiscale models to represent
geometry and physical properties. In this paper, we propose a multiscale heterogeneous …

In engineering design, geometry and material can be separately specified at the traditional
macroscale. However, at the micro-and meso-scales, material compositions become …

We propose a formal framework for modeling multiscale material structures by recursive
composition of two-scale material structures. The framework comprises three …

The possibility to attain diverse applications from heterogeneous objects calls for a generic
and systematic modeling approach for design, analysis and rapid manufacturing of …

Integration of material composition, microstructure, and mechanical properties with geometry
information enables design and analysis of materials and products in a computer-aided …

Additive manufacturing processes enable the fabrication of the material with multiscale
complexities. However, to efficiently model the material compositions and microstructures on …

Heterogeneous object design is an active research area in recent years. This research
focuses on computer-aided design issues in heterogeneous object design. Systematic …