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| Three-dimensional numerical analysis of cracks in transversely isotropic materials |
| Received:October 30, 2006 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20091017 |
| KeyWord:transversely isotropic material elasticity three-
dimensional crack problem hypersingular integral equation boundary element met
hod |
| Author | Institution |
| 陈梦成 |
华东交通大学 土木工程学院,南昌 |
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| Abstract: |
| In this paper,started rigorously from Green functions for
elastic spac
e problems of transversely isotropic materials,the fundamental solutions for a
displacement-jump (dislocation) were derived by Hadamard’s finite-part integr
a
l concepts.Subsequently,the problem of a three-dimensional planar crack with a
r
bitrary shape in an infinite transversely isotropic solid was reduced to the sol
ution of a set of hyper-singular integral equations with unknown displacement j
umps.Discretization of the boundary element method on the crack surfaces was dis
cussed.The hyper-singular integrals in the equations were numerically treated b
y
the use of Hadamard’s finite-part integral concepts.Finally,some numerical ex
amples of typical-shaped planar crack problems were given and the effeetiveness
of the analysis was validated. |