Note on volume integrals of the elastic field around an ellipsoidal inclusion

✍ Scribed by K. Tanaka; T. Mori

• Book ID: 104631743
• Publisher: Springer Netherlands
• Year: 1972
• Tongue: English
• Weight: 109 KB
• Volume: 2
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00125528

✦ Synopsis

When it is within an infinite homogeneous medium and has uniform eigenstrain e**, an inclusion Vo produces total strain ?m.(X), given by em.(X) = e ;j f -Cijkl{Gkm, In(X, X')"}-Gk., tm(X, X')}/2 dD(x').

(1)

¢V o

Here, Ciju are elastic constants, Gkm(X, X') is Green's function and an index to the right of a comma represents differentiation with respect to the appropriate x coordinate. Eshelby has shown that in an isotropic medium the integrals in Eq. (1),