Natural nonlinear materials, e.g., biological materials and polymers, are mechanically weak. It has been amajor challenge to develop a nonlinear material with potentialmechanical applications. Here, we develop a nonlinear elastic metamaterial with giant and tailorable-nonreciprocal elastic moduli. The metamaterial is designed with a microstructural axial asymmetry, which activated nonlinear microstructural deformations in the axial direction and microstructural residual moments.
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