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Trigonometric gradient microstructures in additively manufactured single crystals enable strength-ductility synergy
1Department of Mechanical Engineering, National University of Singapore, Singapore, Singapore.
Nature Communications
|November 11, 2025
Summary
Additively manufactured single crystals (SXs) with trigonometric gradient microstructures (TGMs) overcome strength-ductility trade-offs, especially at high temperatures. This breakthrough enables programmable performance in extreme environments.
Area of Science:
- Materials Science
- Mechanical Engineering
- Additive Manufacturing
Background:
- Additively manufactured (AM) single crystals (SXs) are promising for extreme environments.
- AM processes create unique gradient microstructures around dendrites, affecting material properties.
- Understanding and controlling these microstructures is key to enhancing performance.
Purpose of the Study:
- To develop a unified model for gradient microstructures in AM SXs.
- To quantify the impact of these microstructures on mechanical properties.
- To enable programmable performance by tuning microstructural gradients.
Main Methods:
- Leveraging a unified trigonometric function to describe gradient microstructures.
- Analyzing dislocation densities, matrix channel width, precipitate area, and elemental concentrations.
- Employing high-throughput simulations to correlate microstructure intensity with mechanical properties.
Main Results:
- Trigonometric gradient microstructures (TGMs) overcome the strength-ductility trade-off, particularly at elevated temperatures.
- TGMs improve both strength and ductility, unlike conventional methods that sacrifice ductility for strength.
- Linear correlations were found between TGM intensity and mechanical properties like strength and elongation.
Conclusions:
- TGMs offer a novel approach to tailor mechanical properties in AM SXs.
- The study provides a framework for designing materials with programmable performance for demanding applications.
- This research deepens the understanding of dendrite-related microstructures in AM alloys.

