Identification of micropolar models for random fiber networks
摘要
This work aims to develop a micropolar model for random fibrous networks within the framework of micropolar elasticity. The networks are composed of elastic filaments lying in a 2D domain, representative of the structural organization found in many biological materials—particularly collagen gels, which exhibit a variety of morphologies. Basing on finite element simulations of the fiber network, we upscale the microstructural response into an effective continuum behavior in the framework of Cosserat elasticity. The model treats fibers as Timoshenko beams and crosslinks as welded joints, allowing for both force and moment transmission throughout the network. A micromechanical homogenization approach is employed to evaluate the variation of the effective micropolar moduli as functions of key structural parameters, including fiber density, internal bending length, and the size of the window of analysis.