This paper establishes a universal framework for the nonlocal modeling of anisotropic damage at finite strains. By the combination of two recent works, the new framework allows for the flexible incorporation of different established hyperelastic finite strain material formulations into anisotropic damage whilst ensuring mesh-independent results by employing a generic set of micromorphic gradient-extensions. First, the anisotropic damage model, generally satisfying the damage growth criterion, is investigated for the specific choice of a Neo-Hookean material on a single element. Next, the model is applied with different gradient-extensions in structural simulations of an asymmetrically notched specimen to identify an efficient choice in the form of a volumetric-deviatoric regularization. Thereafter, the universal framework, which is without loss of generality here specified for a Neo-Hookean material with a volumetric-deviatoric gradient-extension, successfully serves for the complex simulation of a pressure loaded rotor blade. After acceptance of the manuscript, we make the codes of the material subroutines accessible to the public at https://doi.org/10.5281/zenodo.11171630.

翻译：本文建立了一个用于有限应变下各向异性损伤非局部建模的通用框架。通过整合两项近期研究成果，该新框架能够灵活地将多种成熟的超弹性有限应变材料本构模型纳入各向异性损伤分析，同时通过采用一组通用的微态梯度扩展来确保网格无关的结果。首先，针对Neo-Hookean材料的特定选择，在单单元上研究了满足损伤增长准则的通用各向异性损伤模型。随后，在非对称缺口试样的结构模拟中应用具有不同梯度扩展的模型，从而确定以体积-偏量正则化形式实现的高效方案。此后，该通用框架（此处以具有体积-偏量梯度扩展的Neo-Hookean材料为例进行具体说明，但不失一般性）成功应用于压力加载转子叶片这一复杂模拟。稿件录用后，我们将通过https://doi.org/10.5281/zenodo.11171630公开材料子程序代码。