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Analytical solution to a fracture problem in a tough layered structure.

Authors
  • Hamamoto, Yukari
  • Okumura, Ko
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Aug 01, 2008
Volume
78
Issue
2 Pt 2
Pages
26118–26118
Identifiers
PMID: 18850908
Source
Medline
License
Unknown

Abstract

Nacre causes the shining beauty of pearl due to its remarkable layered structure, which is also strong. We reconsider a simplified layered model of nacre proposed previously [Okumura and de Gennes, Eur. Phys. J. E 4, 121 (2001)] and obtain an analytical solution to a fundamental crack problem. The result asserts that the fracture toughness is enhanced due to a large displacement around the crack tip (even if the crack-tip stress is not reduced). The derivation offers ideas for solving a number of boundary problems for partial differential equations important in many fields.

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