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Updated: Nov 4, 2025
09:39
Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
Published on: June 28, 2024
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Topics in the mathematical design of materials
Xian Chen1, Irene Fonseca2, Miha Ravnik3,4
1Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Pokfulam, Hong Kong.
Summary
This perspective explores mathematical approaches for designing advanced materials, including phase-transforming, semiconductor, and soft matter. It highlights key research areas and open problems in condensed matter physics.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Applied Mathematics
Background:
- The design of novel materials is crucial for technological advancement.
- Mathematical approaches offer powerful tools for tackling complex material design challenges.
Purpose of the Study:
- To provide a perspective on current research directions in the mathematical design of new materials.
- To identify areas where mathematical strategies can drive progress in both soft and hard condensed matter.
Main Methods:
- Review of current research in materials design.
- Discussion of mathematical problems in specific material classes.
- Focus on interdisciplinary approaches combining mathematics and condensed matter physics.
Main Results:
- Identified key research areas: phase-transforming materials, epitaxy in semiconductors, soft matter, magnetic materials, liquid crystals, and liquid crystal colloids.
- Highlighted the importance of mathematical modeling in materials design.
- Emphasized the potential for significant progress through mathematical approaches.
Conclusions:
- Mathematical design is a critical frontier in materials science.
- Further research in these areas promises exciting advancements in complex materials.
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