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Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

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Morphogenetic mechanical metamaterials: Emerging tensor properties from self-organized structures.

Thomas Fromentèze^1,2, Philippe Michaud³, Ali Hassny⁴

¹University of Limoges, CNRS, XLIM, UMR 7252, Limoges, France. thomas.fromenteze@unilim.fr.

Nature Communications

|July 4, 2026

Summary

This summary is machine-generated.

This study introduces a decentralized generative model for autonomous mechanical structure growth, enabling precise control over local stiffness and anisotropy for advanced engineering applications.

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Area of Science:

Engineering
Materials Science
Computational Mechanics

Background:

Living organisms exhibit complex functional structures through spontaneous development.
Engineering design seeks novel strategies inspired by biological morphogenesis.
Current methods like topology optimization can be computationally intensive.

Purpose of the Study:

To develop a decentralized generative model for autonomous growth of mechanical structures.
To achieve controlled tensorial properties, specifically tailored stiffness and anisotropy.
To bypass iterative global solves common in traditional optimization techniques.

Main Methods:

Adapting Turing's reaction-diffusion concept with anisotropic diffusion.
Utilizing a database linking morphogenetic parameters to effective elastic tensors via homogenization.
Implementing a decentralized generative model for local microstructure control.

Main Results:

Successfully grew mechanical structures with tailored local stiffness and anisotropy.
Achieved target orthotropic tensors without adjoint or topology optimization.
Demonstrated independent control over local anisotropy and rigidity.

Conclusions:

The proposed morphogenetic model enables autonomous growth of complex mechanical structures.
This approach offers local control over material properties, circumventing limitations of global optimization.
Experimental validation, including mechanical cloaking, confirms the method's efficacy.