1 Erratum to: J Braz. Soc. Mech. Sci. Eng. (2015) 37:1819–1838 DOI 10.1007/s40430-015-0427-0

The original version of this article unfortunately contained a mistake.

The presentation of Eq. 7 was incorrect. The correct version is given below.

$$ z_{0} = \frac{{h(r)n_{\text{z}} }}{{2(n_{\text{z}} + 2)}}\frac{{(E_{{{\text{c}}2}} - E_{{{\text{m}}2}} ) + ((E_{{{\text{c}}1}} - E_{{{\text{m}}1}} ) - (E_{{{\text{c}}2}} - E_{{{\text{m}}2}} ))\left( {\frac{{r - r_{\text{i}} }}{{r_{\text{o}} - r_{\text{i}} }}} \right)^{{n_{\text{r}} }} }}{{(E_{{{\text{c}}2}} + n_{\text{z}} E_{{{\text{m}}2}} ) + (E_{{{\text{c}}1}} - E_{{{\text{c}}2}} + n_{\text{z}} (E_{{{\text{m}}1}} - E_{{{\text{m}}2}} ))\left( {\frac{{r - r_{\text{i}} }}{{r_{\text{o}} - r_{\text{i}} }}} \right)^{{n_{\text{r}} }} }}. $$
(7)