The Elastic Field Caused by a Circular Cylindrical Inclusion—Part I: 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 Du

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

J. Appl. Mech 62(3), 579-584 (Sep 01, 1995) (6 pages) doi:10.1115/1.2895984 History: Received September 13, 1993; Revised March 17, 1994; Online October 30, 2007


The displacement and stress fields caused by uniform eigenstrains in a circular cylindrical inclusion are analyzed inside the region x12 + x22 < a2, −∞ < x3 < ∞ and are given in terms of nonsingular surface integrals. Analytical solutions can be expressed as functions of the complete elliptic integrals of the first, second and third kind. The corresponding elastic fields in the region x12 + x22 > a2, −∞ < x3 < ∞ are solved by using the same technique (by Green’s functions) in the companion paper (Part II).

Copyright © 1995 by The American Society of Mechanical Engineers
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