Erratum: “Reciprocity Theorems for Diffusion, Flow, and Waves” [Journal of Applied Mechanics, 2004, 71(1), pp. 145–150] PUBLIC ACCESS

[+] Author and Article Information
Kees Wapenaar, Jacob Fokkema

J. Appl. Mech 77(6), 067001 (Aug 17, 2010) (1 page) doi:10.1115/1.4002115 History: Published July 07, 2010; Online August 17, 2010

Matrix C defined in Appendices C and D is singular and hence expressions containing the inverse of C cannot be used as such. The singularity is a consequence of the chosen organization of the matrix-vector differential equation in these appendices. The field vector u contains nine stress components of which only six are independent. By removing the three redundant stress components from u and reorganizing the matrix-vector equation accordingly, we obtain a matrix C that is invertible. The redefined matrices A=C1A¯ and B=C1B¯ in Appendices C and D obey symmetry relations (9) and (13) in the body of the paper. Hence, the unified reciprocity theorems (12) and (14) are valid for the modified matrix-vector differential equation in these appendices. Explicit expressions for the modified matrices and vectors can be found at http://geodus1.ta.tudelft.nl/PrivatePages/C.P.A.Wapenaar/4_Journals/J.Appl.Mech/AppM_04.pdf.

We take this opportunity to indicate some printing errors in the paper. The tildes below A and u in Eq. (1) should be removed. Circumflexes should be added above all vectors u and s in Eqs. (10) and (11). A right-bracket ] should be inserted after the first ûB at the right-hand side of Eq. (10). Right-parentheses ) should be inserted after ûA at the left-hand side of Eq. (11) and after the first ûB at the right-hand side of Eq. (11).

We thank Stefan Stijlen for bringing the singularity of matrix C to our attention.

Copyright © 2010 by American Society of Mechanical Engineers
This article is only available in the PDF format.





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