Erratum to: Modelling and simulation of cyclic thermomechanical behaviour of NiTi wires using a weak discontinuity approach

1 Erratum to: Int J Fract DOI 10.1007/s10704-016-0156-0

Due to an unfortunate turn of events, the following equations were published with erroneous parameters. Please find in this erratum the correct version of the equations that should be regarded as the final version by the reader:

• 1. Equation (65) should read

  $$\begin{aligned} \partial _{{\varTheta }}{\varPi }^{\mathrm {int}}= & {} \mathsf {c}_M\,[1+\ln ({\varTheta })]\, \left[ X_{{\varGamma }_2}- X_{{\varGamma }_1}-L\right] \nonumber \\&- \left[ \mathsf {c}_A\,[1+\ln ({\varTheta })]+ \frac{\mathsf {L}}{{\varTheta }_0} \right] \, \left[ X_{{\varGamma }_2}-X_{{\varGamma }_1}\right] \nonumber \\ \end{aligned}$$

  (1)

• 2. Equation (66) should read

  $$\begin{aligned} -{\varTheta }\,\dot{\overline{\partial _{{\varTheta }}{\varPi }^{\mathrm {int}}}}= & {} \mathsf {c}_{\mathrm {eff}}\,\dot{{\varTheta }} + {\varTheta }\,A\,\left[ \dot{X}_{{\varGamma }_2}-\dot{X}_{{\varGamma }_1}\right] \nonumber \\&\times \left[ \frac{\mathsf {L}}{{\varTheta }_0}+{\varDelta }\mathsf {c}\,[1+\ln ({\varTheta })]\right] \end{aligned}$$

  (2)

• 3. Equation (69) should read

  $$\begin{aligned} \dot{{\varTheta }}= & {} \frac{1}{\mathsf {c}_{\mathrm {eff}}}\, \left[ \mathcal {D}_{\mathrm {mech}}+H-\partial _X Q-{\varTheta }\,A\,\left[ \dot{X}_{{\varGamma }_2}-\dot{X}_{{\varGamma }_1}\right] \right. \nonumber \\&\times \,\left. \,\left[ \frac{\mathsf {L}}{{\varTheta }_0}+{\varDelta }\mathsf {c}\,[1+\ln ({\varTheta })] \right] \right] \;. \end{aligned}$$

  (3)

• 4. Equation (70) should read

  $$\begin{aligned} \dot{{\varTheta }}= & {} \frac{1}{\mathsf {c}_{\mathrm {eff}}}\, \left[ \mathcal {D}_{\mathrm {mech}}- {\varTheta }\,A\,\left[ \dot{X}_{{\varGamma }_2}- \dot{X}_{{\varGamma }_1}\right] \right. \nonumber \\&\left. \times \left[ \frac{\mathsf {L}}{{\varTheta }_0} +{\varDelta }\mathsf {c}\,[1+\ln ({\varTheta })]\right] \right] \end{aligned}$$

  (4)