ABSTRACT
In the last chapter, when there is a distributed body force on the inclusion, the elastic field can be obtained by the integral of Kelvin’s solution directly as
ui(x) = ∫
Gij(x, x′)fj(x′)dx′ (3.1)
where
Gij(x, x′) = 14πμ δij
|x − x′| − 1
16πμ(1 − ν) ∂2|x − x′|
∂xi∂xj (3.2)
When the body force is constant, Equation 3.1 can be directly written by using the identities of the integrals in Section 3.4.