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Before we apply FMBIEM to crack problems we summarise the notations
about a crack. In this thesis we denote a crack by
and
assume that S is a union of smooth nonselfintersecting curved
surfaces having edges
and a unit normal vector
(See Fig.3.1).
Figure 3.1:
Notations about a crack

Also, we denote
by
and the
superscript + () indicates the limit on S from the positive
(negative) side of S where the positive side indicates the one into
which the unit normal
points. In this thesis we denote the
discontinuity of u across S by
and call
the crack opening displacement though
may not necessarily be a
physical displacement. In crack problems we impose the regularity
condition
.
This condition guarantees the
uniqueness of the solution. The above notations are used throughout
this thesis unless stated otherwise.
Kenichi Yoshida
20010728