Solution of problems on the stress state of an elastic medium with an inhomogeneous orthotropic cylindrical inclusion

1999 ◽  
Vol 31 (4) ◽  
pp. 364-372
Author(s):  
A. T. Vasilenko ◽  
N. D. Pankratova
Keyword(s):  
Stress State ◽  
Elastic Medium ◽  
Cylindrical Inclusion

The Elastic Field Caused by a Circular Cylindrical Inclusion—Part II: Inside the Region x12+x22>a2,−∞

1995 ◽  
Vol 62 (3) ◽  
pp. 585-589 ◽  
Author(s):  
Linzhi Wu ◽  
Shanyi Y. Du
Keyword(s):  
Stress Field ◽  
Elastic Medium ◽  
Analytical Solutions ◽  
Elastic Field ◽  
Numerical Results ◽  
Elliptic Integrals ◽  
Cylindrical Inclusion ◽  
Stress Fields ◽  
Complete Elliptic Integrals

Analytical solutions are presented for the displacement and stress fields caused by a circular cylindrical inclusion with arbitrary uniform eigenstrains in an infinite elastic medium. The expressions obtained and those presented in Part I constitute the solutions of the whole elastic field, −∞<x1,x2,x3<∞. In the present paper, it is found that the analytical solutions within the region x12+x22>a2,−∞<x3<∞ can also be expressed as functions of the complete elliptic integrals of the first, second, and third kind. When the length of inclusion tends towards the limit (infinity), the present solutions agree with Eshelby’s results. Finally, numerical results are shown for the stress field.

Sign in / Sign up

Export Citation Format

Share Document