Developing Mechanical Metamaterials Under an Adaptable Topology Optimization Design Framework

This research project looks at creating mechanical metamaterials with a flexible topology‑optimization design framework. Mechanical metamaterials show unusual properties—like negative Poisson’s ratios or very high stiffness‑to‑weight ratios—that come mainly from the shape of their microstructure, not from the material’s chemistry. To design these complex structures in a systematic way, we examine a flexible topology‑optimization method that can shape unit cells to achieve specific mechanical behaviors. The framework combines numerical homogenization with either density‑based or level‑set topology‑optimization algorithms. This lets us evaluate and improve the effective, macro‑scale properties of the metamaterial. Finite element analysis (FEA) is used to simulate how the material deforms and where stresses develop under different loading conditions.

By setting up an adaptable optimization loop, the design process can handle many goals, such as maximizing energy absorption or tailoring stiffness in particular directions. The work provides clear guidance for studying how geometric constraints and volume fractions affect metamaterial performance, offering a reliable computational path for advanced structural and aerospace applications.

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