A variational approach for a nonlinear 1-dimensional second gradient continuum damage model

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Granular micromechanics based micromorphic model predicts frequency band gaps (2015, unknown): “The granular micromechanicsbased micromorphic model derived here or its micropolar and second gradient simplifications can also be used to describe post-instability macro-scale behavior, such as boundary and localization layers in microstructured media [66,67].”
Identification of multiple open and fatigue cracks in beam-like structures using wavelets on deflection signals (2016, background): “Theproblemofdetectionof location and size of a number of cracks in a structural component simultaneously is much more involved and complex than the case of a single crack [16–21].”
Mechanical metamaterials: a state of the art (2019, methodology): “From a theoretical point of view, one can refer to the work of Bourdin et al. [135], Francfort and Marigo [136], Marigo [137], Marigo and Truskinovsky [138], Forest [139], Placidi [140, 141] and Yang and Misra [142], where theories of damage and fracture are approached by using variational methods.”