Erratum to: Int J Mater Form (2010) Vol. 3 Suppl 1:359 – 362

DOI 10.1007/s12289-010-0781-5

Some equations of the article cited above are unfortunately unreadable. Their right expression is as following:

Page 359, paragraph 2.1, column 1:

$$ \dot{\varepsilon } = {\dot{\varepsilon }^{\rm{e}}} + {\dot{\varepsilon }^{\rm{p}}} $$
(1)
$$ \frac{{{{\text{d}}_{\rm{J}}}\sigma }}{\hbox{dt}} = \lambda {\hbox{tr(}}{\dot{\varepsilon }^{\rm{e}}}{)} + 2\mu {\dot{\varepsilon }^{\rm{e}}} $$
(2)
$$ {\dot{\varepsilon }^p} = {{1} \left/ {{K{{\left\langle {({{{\bar{\sigma } - R)}} \left/ {K} \right.}} \right\rangle }^{\frac{1}{m} - 1}}\sigma \prime }} \right.} $$
(3)

Then, page 359, paragraph 2.1, from column 1, line 7 to column 2, line 2. The text has to be read as following:

“Where \( {\dot{\varepsilon }^e} \) is the elastic strain rate, \( {\dot{\varepsilon }^p} \) the plastic or visco plastic component, dJ/dt is for the Jauman derivative, λ and μ are the Lamé coefficients, σ’ is deviatoric stress tensor, \( \bar{\sigma } \) is the usual equivalent stress, K is the consistency and m is the strain rate sensitivity.”

Page 359, paragraph 2.1, column 2:

$$ \dot{X} = {{2} \left/ {3} \right.}\beta ({{{\partial {\hbox{R}}}} \left/ {{\partial \bar{\varepsilon }}} \right.})\dot{\varepsilon } $$
(5)

Page 360, paragraph 2.3, column 1:

$$ \int\limits_\Omega {\sigma \prime :\dot{\varepsilon } * {\hbox{dV - }}\int\limits_\Omega {{\hbox{pdiv(v}} * {\hbox{)dV - }}} \int\limits_{\partial {\Omega_c}} {\tau {\hbox{v}} * {\hbox{dS}} = 0} } $$
(7)
$$ - \int\limits_\Omega {(\kappa {\hbox{di}}v(v) + \dot{p})p * dV = 0} $$
(8)

Page 360, paragraph 2.4, column 1 (first equation):

$$ \rho {\hbox{c}}\frac{\text{dT}}{{\hbox{dt}}} = {\hbox{div(kgrad(T))}} + {{\hbox{f}}_{\rm{w}}}{(\sqrt {3} \dot{\bar{\varepsilon }})^{{\rm{m}} + 1}} $$
(9)

Page 360, paragraph 3.1, column 1:

$$ \dot{\varepsilon } = \sum\limits_{\rm{n}} {{{\mathbf{V}}_{\rm{n}}}{{\mathbf{B}}_{\rm{n}}}} $$
(11)