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Surface energy and surface tension at holes and cracksThe concept of surface tension and surface energy of solids was used by Griffith to obtain a criterion for the extension of cracks in brittle materials. Griffith, however, neglected the stresses due to the normal traction at the crack implied by the surface tension. A complete solution to the problem of an elliptic hole in an infinite plate with surface tension loading at the hole is given. Complex potentials are given in closed form in terms of elliptic integrals of the first, second, and third kinds. Stress distributions are studied. For a flat crack, the nature of the singularity at the tip is shown to be radically different from that usually encountered in fracture mechanics. The implications of our analysis for theories of fracture in brittle materials are discussed.
Document ID
19750040443
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Rajapakse, Y. D. S.
(NASA Ames Research Center Moffett Field, Calif., United States)
Date Acquired
August 8, 2013
Publication Date
February 1, 1975
Publication Information
Publication: International Journal of Fracture
Volume: 11
Subject Category
Structural Mechanics
Accession Number
75A24515
Distribution Limits
Public
Copyright
Other

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