Please login to view abstract download link
In a recent paper some of the authors derived, under some simplifying assumptions, a theoretical framework and a set of constitutive equations that enable simple analytical solutions for the evolution of continuous fiber orientation distributions in soft biological tissues under growth and remodeling using homogenized constrained mixture models (HCMM). In this contribution, we analyzed two idealized beam and shell like models made of soft biological matter representative of tissue equivalents. Accordingly, we consider distributed collagen fibers undergoing uniaxial and equibiaxial regime in the beam and shell like models respectively and follow the microstructural remodeling of the anisotropic reinforcement in a 3D domain. Numerical investigation targets a variety of deformation paths, as well as distributions of the fibers under examination. We discuss the computational results by comparing them with experimental data and closed-form solutions, thus confirming the effectiveness of the proposed approach via efficient numerical schemes.