The Elastic Field Caused by a Circular Cylindrical Inclusion—Part II: Inside the Region x12 + x22 > a2, −∞ < x3 < ∞ Where the Circular Cylindrical Inclusion is Expressed by x12 + x22 ≤ a2, −h ≤ x3 ≤ h

[+] Author and Article Information
Linzhi Wu, Shanyi Y. Du

Research Laboratory of Composite Materials, School of Astronautics, Harbin Institute of Technology, Harbin, 150006, P. R. China

J. Appl. Mech 62(3), 585-589 (Sep 01, 1995) (5 pages) doi:10.1115/1.2895985 History: Received September 13, 1993; Revised March 17, 1994; Online October 30, 2007


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.

Copyright © 1995 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In