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Errata and typos​​​​​​

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Wang et al. (2022) Link​​​

• The citation number in Fig. 15a should be [55].​

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Wang et al. (2023) Link

• The annotations for the two underbrackets on the left-hand side of Eq. (27) should be "Elements of Jacobian J ".

• The annotatuion for the underbracket on the right-hand side of Eq. (27) should be "Residual, -R".

• Notations J  and -R in Eq. (27) should be removed. 

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Wang and Yin (2024) Link

• Following Eq. (1), F = I · C^{1/2} should be corrected as F = Rrot · C^{1/2}, where Rrot represents the rotation tensor and satisfies Rrot^T · Rrot = I with I being the identity tensor. 

• Y in Eqs. (22)(23) should be corrected as Y in italic mode.

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Eringen (1972) Link

• v^l in Eq. (2) should be \dot{v}^l (material time derivative of velocity v^l).

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Supplementary materials​​​​​​

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Wang et al. (2024) Link

• Animations of crack propagation can be found in the online page of this article (Section of Supplementary Information). 

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Technical tips

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​How to insert mathematical formulas in your websit​

• A choice is use of the MathJax script. In the website interface, following these steps: Add Elements -> Embed Code -> Embed HTML -> a HTML box is adde. Then, add some commands (see righ-side, copy them directly) in the HTML box

• Input formats: (1) Latex grammer for equations, and HTTPS controls commands; (2) inline-mode equations packaged within \( ... \); (3) display-mode equations packaged within \[ ... \]; (4) paragraph beginning with <p> ending by </p>; (5) comments begining with <! ending by >