A computational homogenization procedure for a material layer that possesses an underlyingheterogeneous microstructure is introduced within the framework of finite deformations.The macroscopic material properties of the material layer are obtained frommultiscale considerations. At the macro level, the layer is resolved as a cohesive interfacesituated within a continuum, and its underlying microstructure along the interface is treatedas a continuous representative volume element of given height. The scales are linkedvia homogenization with customized hybrid boundary conditions on this representativevolume element, which account for the deformation modes along the interface. A nestednumerical solution scheme is adopted to link the macro and micro scales. Numerical examplessuccessfully display the capability of the proposed approach to solve macroscopicboundary value problems with an evaluation of the constitutive properties of the materiallayer based on its micro-constitution.
Hirschberger, C. B., Ricker, S., Steinmann, P., & Sukumar, N. (2009). Computational multiscale modelling of heterogeneous material layers. Engineering Fracture Mechanics, 76(6), 793-812. https://doi.org/10.1016/j.engfracmech.2008.10.018