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Effects of Cracks on Anomalous Mechanical Behavior and Energy Dissipation of Negative‐Stiffness Plates

Mechanical behavior of negative‐stiffness (NS) plates containing cracks, under sinusoidal straining, are numerically studied with the phase‐field modeling techniques. Ferroelastic phase transition is triggered by thermal loading with the Landau‐type energy function to generate the double‐well potential. NS arises from regions of the multi‐domain plates, and interacts with surrounding positive‐stiffness neighboring regions to give rise to anomalous mechanical behavior and energy dissipation. It is found that the anomalies in effective elastic modulus and damping are preserved in the presence of cracks, regardless of their shape or tip radius. Cracks do not diminish the negative‐stiffness effects on overall properties; they may provide more enhancement in dissipation. Crack tips concentrate stress, and cause phase transition to start earlier than other regions in the plates. As opposed to passive materials whose overall damping must be positive, we observe negative effective damping in the plates due to generation of energy from the phase transition.