A new model is proposed that represents the kinematics of kink-band formationand propagation within the framework of a mesoscale continuum damage mechanics(CDM) model. The model uses the recently proposed deformation gradientdecomposition approach to represent a kink band as a displacement jump via acohesive interface that is embedded in an elastic bulk material. The model is capableof representing the combination of matrix failure in the frame of a misaligned fiberand instability due to shear nonlinearity. In contrast to conventional linear or bilinearstrain softening laws used in most mesoscale CDM models for longitudinalcompression, the constitutive response of the proposed model includes featurespredicted by detailed micromechanical models. These features include: 1) therotational kinematics of the kink band, 2) an instability when the peak load is reached,and 3) a nonzero plateau stress under large strains.
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