Multi-scale cohesive laws in hierarchical materials

Haimin Yao, Huajian Gao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

83 Citations (Scopus)


Motivated by the observations that natural materials such as bone, shell, tendon and the attachment system of gecko exhibit multi-scale hierarchical structures, this paper aims to develop a better understanding of the effects of structural hierarchy on flaw insensibility of materials from the viewpoint of multi-scale cohesive laws. We consider two idealized, self-similar models of hierarchical materials, one mimicking gecko's attachment system and the other mimicking the mineral-protein composite structure of bone, to demonstrate that structural hierarchy leads to multi-scale cohesive laws which can be designed from bottom up to enable flaw tolerance from nanoscale to macroscopic length scales.
Original languageEnglish
Pages (from-to)8177-8193
Number of pages17
JournalInternational Journal of Solids and Structures
Issue number25-26
Publication statusPublished - 15 Dec 2007
Externally publishedYes


  • Adhesion
  • Biological materials
  • Bone
  • Flaw tolerance
  • Fracture
  • Gecko
  • Hierarchical materials

ASJC Scopus subject areas

  • Modelling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


Dive into the research topics of 'Multi-scale cohesive laws in hierarchical materials'. Together they form a unique fingerprint.

Cite this