Erratum: “Reciprocity Theorems for Diffusion, Flow, and Waves” [Journal of Applied Mechanics, 2004, 71(1), pp. 145–150]
Author(s) -
Kees Wapenaar,
J.T. Fokkema
Publication year - 2010
Publication title -
journal of applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 97
eISSN - 1528-9036
pISSN - 0021-8936
DOI - 10.1115/1.4002115
Subject(s) - reciprocity (cultural anthropology) , mechanics , classical mechanics , mathematics , calculus (dental) , physics , sociology , medicine , social science , dentistry
Matrix C defined in Appendices C and D is singular and hence xpressions containing the inverse of C cannot be used as such. he singularity is a consequence of the chosen organization of the atrix-vector differential equation in these appendices. The field ector u contains nine stress components of which only six are ndependent. By removing the three redundant stress components rom u and reorganizing the matrix-vector equation accordingly, e obtain a matrix C that is invertible. The redefined matrices =C−1A and B=C−1B in Appendices C and D obey symmetry elations 9 and 13 in the body of the paper. Hence, the unified eciprocity theorems 12 and 14 are valid for the modified atrix-vector differential equation in these appendices. Explicit
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