12月1日(水) 15:30 -- 17:00 呉光鐘（Wu, Kuang-Chong）
^^^^ （台湾国立大学 応用力学研究所 教授）
``Non-Singular Boundary Integral Equations
for Two-Dimensional Anisotropic Elasticity''
＜研究発表要旨＞
We proposed a new formulation of boundary integral equations in 1992 by using
Stroh's formalism for anisotropic elasticity (Stroh, 1958). The new formu-
lation is expressed in terms of tractions and displacement gradients, which
can be used to calculate the boundary stresses or strains directly.
Our formulation provides dual sets of boundary integral equations which
are linearly dependent. Both sets contain singular integrals of Cauchy's
type, and the sets of boundary integral equations are transformed such that
the integrals associated with the unknown boundary data are regularized.
The transformation is done by employing certain eigenrelations in Stroh's
formalism. For a semi-infinite body or an infinite body containing an
elliptic hole, the integral equations yield exact solutions. For problems
which can only be treated numerically, the integral equations can be solved
by using Gaussian-type integration formula directly without dividing the
boundary into discrete elements. This is particularly useful for problems
with infinite boundaries.
As an example, an infinite anisotropic plate subjected to collinear
compressive line forces is provided to illustrate the effectiveness of
the numerical scheme.