1 Corrections to: Acta Mechanica Solida Sinica https://doi.org/10.1007/s10338-021-00305-0

During production of the article unfortunately several typesetting mistakes have been introduced.

In Eq. (17). The correct equation is:

$$\begin{aligned} \left[ {\begin{array}{*{20}l} N_{x}\\ N_{y}\\ N_{xy}\\ \end{array} } \right] =\left[ {\begin{array}{*{20}l} A_{\mathrm {11}} &{} A_{1\mathrm {2}} &{} A_{\mathrm {16}}\\ A_{\mathrm {12}} &{} A_{22} &{} A_{26}\\ A_{\mathrm {16}} &{} A_{26} &{} A_{\mathrm {66}}\\ \end{array} } \right] \left[ {\begin{array}{*{20}l} \varepsilon _{x}\\ \varepsilon _{y}\\ \gamma _{xy}\\ \end{array} } \right] \end{aligned}$$
(17)

In Eq. (22). The correct equation is:

$$\begin{aligned} H_{\varepsilon }\left( x \right) =\left\{ {\begin{array}{*{20}l} \mathrm {1}\\ \frac{\mathrm {3}\left( \mathrm {1}-\alpha \right) }{\mathrm {4}}(\frac{x}{\varepsilon }-\frac{x^{\mathrm {3}}}{\mathrm {3}\varepsilon ^{3}})\\ \alpha \\ \end{array} } \right. +\frac{(\mathrm {1}+\alpha )}{\mathrm {2}},\, \, \, \, \, {\begin{array}{*{20}l} \mathrm{if}\, x>\varepsilon \\ \mathrm{if}\, -\varepsilon<x<\varepsilon \\ \mathrm{otherwise}\\ \end{array} } \end{aligned}$$
(22)

In Eq. (30). The correct equation is:

$$\begin{aligned} \frac{\partial (S_{i})}{\partial \alpha }=\int _D \frac{\partial H_{\varepsilon }(\mathrm{min}(\chi _{m}^{2},\chi _{n}^{2}))}{\partial \alpha } \mathrm{d}V \end{aligned}$$
(30)

In line 1, page 6 of the article. The correct expression is:

$$\begin{aligned} {\varvec{D}}^{i}{=}{{(}x_{i\mathrm {0}},y_{i\mathrm {0}}{,}L_{i\mathrm {1}} {,}d_{i\mathrm {11}}{,}d_{i\mathrm {12}}{,}{\mathrm{sin\,}\theta }_{i}{,}\alpha _{i\mathrm {0}}{)}}^\mathrm{T} \end{aligned}$$

In line 34, page 9 of the article. The correct expression is:

$$\begin{aligned} {\varvec{D}}^{i}{=}{{(}L_{i\mathrm {1}}{,}d_{i\mathrm {11}}{,}d_{i\mathrm {12}}{,}{\mathrm{sin\,}\theta }_{i}{,}\alpha _{i\mathrm {0}}{)}}^\mathrm{T} \end{aligned}$$

In line 34, page 9 of the article. The correct expression is:

$$\begin{aligned} {\varvec{D}}^{i}{=}{{(}\mathrm {0.3,0.05,0.05,0},pi/\mathrm {3}\, (-pi/\mathrm {3}{))}}^\mathrm{T} \end{aligned}$$

In line 25, page 10 of the article. The correct expression is:

$$\begin{aligned} {\varvec{D}}^{i}{=}{{(}L_{i\mathrm {1}}{,}d_{i\mathrm {11}}{,}d_{i\mathrm {12}}{,}{\mathrm{sin\,}\theta }_{i}{,}\alpha _{i\mathrm {0}}{)}}^\mathrm{T} \end{aligned}$$

In line 26, page 10 of the article. The correct expression is:

$$\begin{aligned} {\varvec{D}}^{i}{=}{{(}\mathrm {0.28,0.05,0.05,0.4}\left( \mathrm {-0.4} \right) ,pi/\mathrm {3}\, (-pi/\mathrm {3}{))}}^\mathrm{T} \end{aligned}$$

In line 4, page 11 of the article. The correct expression is:

$$\begin{aligned} {\varvec{D}}^{i}{=}{{(}L_{i\mathrm {1}}{,}d_{i\mathrm {11}}{,}d_{i\mathrm {12}}{,}{\mathrm{sin\,}\theta }_{i}{,}\alpha _{i\mathrm {0}}{)}}^\mathrm{T} \end{aligned}$$

In line 4, page 11 of the article. The correct expression is:

$$\begin{aligned} {\varvec{D}}^{i}{=}{{(}\mathrm {0.28,0.09,0.09,0.4}\left( \mathrm {-0.4} \right) ,pi/\mathrm {4}{)}}^\mathrm{T} \end{aligned}$$

The original article has been corrected.