Extended Data Fig. 7: A variety of designs proposed by the diffusion model for a given target response with negative stiffness (buckling). | Nature Machine Intelligence

Extended Data Fig. 7: A variety of designs proposed by the diffusion model for a given target response with negative stiffness (buckling).

From: Inverse design of nonlinear mechanical metamaterials via video denoising diffusion models

Extended Data Fig. 7

We plot the effective stress response σeff. of the original design of the target response (‘Ground truth’) presented in Fig. 3d with three synthesized designs from the diffusion model (‘Pred. 1-3’; NRMSE with respect to the target response in brackets). We also provide the FE evaluation of the original and generated designs in terms of the full-field σ22-distribution (indicated in MPa in the Eulerian frame) and the corresponding relative L2-errors of the predicted σ22-distribution, where applicable. Note that for Pred. 1 and Pred. 2 the predicted deformation buckles in the opposite direction of the FE evaluation (leading to seemingly high errors).

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