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This paper presents a direct boundary element approach for anisotropic static
three-dimensional linear elastic problems. Formulation is based on the use of regularized
boundary integral equation (BIE) for displacements. This BIE is weakly singular which is
advantageous compared to the traditional strongly singular formulations. The displacement
static fundamental solution is expressed in terms of an integral over a circumference with a
unit radius. For the efficient numerical implementation of these fundamental solutions an
interpolation scheme is used. For the spatial discretization a mixed approximation of
geometry and boundary fields is employed. Numerical solutions of the problem of spherical
cavity in an infinite elastic medium subjected to the uniform internal pressure are presented
for the materials with different degrees of anisotropy.
Keywords: anisotropic elasticity, static problems, boundary element method, Green's functions |
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