Soft constituent materials endow biological composites, such as bone, dentin and nacre, with viscoelastic properties that may play an important role in their remarkable fracture resistance. In this paper we calculate the scaling properties of the quasi-static energy release rate and the viscoelastic contribution to the fracture energy of various biological composites, using both perturbative and non-perturbative approaches. We consider coarse-grained descriptions of three types of anisotropic structures: (i) Liquid-crystal-like composites (ii) Stratified composites (iii) Staggered composites, for different crack orientations. In addition, we briefly discuss the implications of anisotropy for fracture criteria. Our analysis highlights the dominant lengthscales and scaling properties of viscoelastic fracture of biological composites. It may be useful for evaluating crack velocity toughening effects and structure-dissipation relations in these materials.
Imprinting Macroscopic Fracture during Gelation: A Mechanism for Tuning Colloidal Gels
ENSL, CNRS, Laboratoire de physique(法国国家科学研究中心物理实验室);Department of Polymer Engineering, IPC, University of Minho(米尼奥大学高分子工程系);Institut Universitaire de France (IUF)(法兰西学院)
Parsimonious inertial cavitation rheometry via bubble collapse time
University of Michigan(密歇根大学);Brown University(布朗大学);The University of Texas at Austin(德克萨斯大学奥斯汀分校);Texas Materials Institute(德克萨斯材料研究所);Georgia Institute of Technology(佐治亚理工学院)