1 Correction to: Acta Mech (2022) https://doi.org/10.1007/s00707-022-03147-0

There are typographical errors in the original publication of this article. The errors are related to notations of spatial elasticity tensor in the component forms. The notation for a spatial elasticity tensor in the component form should be written as \({c}_{ijkl}\) instead of \({\mathbb {C}}_{ijkl}\). We apologize for these mistakes. There are five typo mistakes in the original paper, which are corrected as follows:

  • The second sentence in the first paragraph on page 8 is corrected as: Referring to [26], the Cauchy stress, \({\varvec{\sigma }}^{\text {iso}}\), and the spatial elasticity tensor in component form, \({c}_{ijkl}^{\text{ iso }}\), for the isotropic part are given, respectively, by

  • The first sentence in the first paragraph on page 11 is corrected as: The spatial constitutive matrix, \({\varvec{D}}\), is established through the components of the tensor \({c}_{ijkl}\).

  • Equation (22b) is corrected as:

    $$\begin{aligned} {c}_{ijkl}^{\text{ iso }} = \frac{\rho }{\rho _0}\left[ \lambda ^{\prime }(\delta _{ij}\delta _{kl})+\mu ^{\prime }(\delta _{ik}\delta _{jl} + \delta _{il}\delta _{jk})\right] , \end{aligned}$$
    (22b)

  • Equation (26) is corrected as:

    $$\begin{aligned} {c}_{ijkl}^{\text{ ani }} = \frac{1}{J}F_{iI}F_{jJ}F_{kK}F_{lL}{\mathbb {C}}_{IJKL}^{\text{ ani }} = \frac{\rho }{\rho _0}\left[ \frac{2\mu _{f}}{J}I_4^2(M_{ij}M_{kl})\right] . \end{aligned}$$
    (26)

  • Equation (27b) is corrected as:

    $$\begin{aligned} {c}_{ijkl} = {c}_{ijkl}^{\text{ iso }} + {c}_{ijkl}^{\text{ ani }} = \frac{\rho }{\rho _0}\left[ \lambda ^{\prime }(\delta _{ij}\delta _{kl})+\mu ^{\prime }(\delta _{ik}\delta _{jl} + \delta _{il}\delta _{jk}) + \frac{2\mu _{f}}{J}I_4^2(M_{ij}M_{kl}) \right] . \end{aligned}$$
    (27b)

The original article has been corrected.