By introducing hierarchical patterns of load-parallel cuts into axially loaded brittle sheets, the
resistance to propagation of mode-I cracks is very significantly enhanced. We demonstrate …

We introduce a beam network model for hierarchically patterned materials. In these
materials, load-parallel gaps intercept stress transmission in the load perpendicular …

We introduce a three dimensional model for interface failure of hierarchical materials
adhering to heterogeneous substrates. We find that the hierarchical structure induces scale …

Hierarchical microstructures are often invoked to explain the high resilience and fracture
toughness of biological materials such as bone and nacre. Biomimetic material models …

In the context of biomimetic modeling, hierarchical structures are often associated with
properties of enhanced resilience. A broad class of resilient biological systems exhibits a …

Structures and connectivity patterns of relevance in neuroscience, biomaterials, and systems
biology can often be encoded by hierarchical networks. This special structural arrangement …

Hierarchical materials consist of microstructural elements which have themselves internal
structure, forming a self-similar pattern on multiple scales [1]. Such materials are ubiquitous …