Analysis on the Complementary Elastic Energy
On the Projection Derivative Operator
The authors of the Discussion mentioned that “when the principal axes of the damage tensor do not coincide with the one of the stress tensor,” some relations presented in the paper are not applicable. We agree with this affirmation because we mentioned it in Sec. 2.3 of the paper and in the Conclusion. When we spoke about proportional loading, this means that the principal stress directions, and thus, those of damage tensor, are identical and do not change during loading. We apologize not having mentioned it more clearly at the beginning of the paper.