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VOLUME 86, NUMBER 25 P H Y S I C A L R E V I E W L E T T E R S 18 JUNE 2001 Fracture Spacing in Layered Materials
 

Summary: VOLUME 86, NUMBER 25 P H Y S I C A L R E V I E W L E T T E R S 18 JUNE 2001
Fracture Spacing in Layered Materials
M. Adda-Bedia1
and M. Ben Amar1,2
1
Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris, France
2
Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue,
Cambridge, Massachusetts 02139
(Received 18 November 2000)
We perform an elastostatic analysis of a periodic array of cracks under constant loading. We give
an analytical solution and show that there is a limitation to the fracture spacing, due to a transition
from an opening to a compressive loading. For this configuration, the threshold of the fracture spacing
depends on neither the applied strain nor the elastic parameters of the material. This result shows that,
in the general case of layered materials, the physical mechanism that is responsible for the limitation
in the density of fractures is related mainly to the geometry of the problem. This is in agreement with
observations and with recent numerical results.
DOI: 10.1103/PhysRevLett.86.5703 PACS numbers: 46.50.+a, 62.20.Mk, 91.35.­x, 91.60.Ba
Parallel open mode brittle fractures, or joints, in layers
are common structures in Nature (see Fig. 1). They are

  

Source: Adda-Bedia, Mokhtar - Laboratoire de Physique Statistique, Département de Physique, École Normale Supérieure

 

Collections: Physics