Erratum to: J. Elast. (2015) DOI 10.1007/s10659-015-9531-8
This erratum concerns a correction in the expression (42) of the original article. As a consequence, the text between this expression and the expression (47) in that article was revised and is presented below.
Substituting both (40.a) and (42) into (37), we find that
where \(\widetilde{\alpha}\) is the peridynamic constant that appears in (22) and is given by (34.a). Substituting (43) into (33) and using (32) together with (25) and (20), we get
Next, recall from above that (25) holds and substitute \(\alpha_{33}\), given by (43), and both \(\widehat{\alpha}_{11}\) and \(\alpha_{12}\), given by (44), into the expressions (14), (15), and (16), to obtain
where \(m\) and \(\widetilde{\vartheta}[\cdot]\) are given by (20) and (21.b), respectively.
Comparing (22) with (45) and using (43) to obtain \(5 \mu/m = \widetilde{\alpha}/3\), we see that both expressions differ by a factor of \(1/3\) multiplying \(\widetilde{\alpha}\).
Acknowledgement
The author is grateful to his student Maurício Pereira for calling his attention to the error in the expression (42) in the original article.
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The online version of the original article can be found under doi:10.1007/s10659-015-9531-8.
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Aguiar, A.R. Erratum to: On the Determination of a Peridynamic Constant in a Linear Constitutive Model. J Elast 122, 41–42 (2016). https://doi.org/10.1007/s10659-015-9556-z
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DOI: https://doi.org/10.1007/s10659-015-9556-z