The Fault in the Stress Analysis of Pseudo-Stress Function Method

[+] Author and Article Information
B. X. Xu

Department of Mechanics and Engineering Science,  Peking University, 100871, Beijing, PRCxubaixiang@sohu.com

M. Z. Wang

Department of Mechanics and Engineering Science,  Peking University, 100871, Beijing, PRCwangminz@pku.edu.cn

J. Appl. Mech 72(4), 615-616 (Oct 26, 2004) (2 pages) doi:10.1115/1.1935526 History: Received May 31, 2004; Revised October 26, 2004

Although Peng Yafei and his co-workers discovered some faults with the pseudo-stress function method suggested by Y. S. Lee in 1987, the authors did not provide convincing arguments. We investigate the crucial assumption in Lee’s method by rewriting it as the form of real part and imaginary part. Through a specific counterexample, we point out that the crucial assumption in Lee’s theory is untenable. Namely, for given Airy’s stress function, it cannot be guaranteed that the pseudo-stress function Λ(x,y) exists. The root cause of the fault with Lee’s method is found in this paper.

Copyright © 2005 by American Society of Mechanical Engineers
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