Abstract In this article, a new algorithm is developed for predicting crack initiation and growth direction in 3D solid concrete. The algorithm combines the anisotropic damage-plasticity model used for simulation of concrete material degradation (crack) and irreversible plastic deformation and the eXtended Finite Element Method (X-FEM). The Voyiadjis local anisotropic damage-plasticity model is expressed in a non-local form to prevent strain and damage localization in damaged points. Also, a new crack propagation direction criterion based on second order damage tensor of anisotropic damage, containing different material degradation components in different directions is proposed for 3D problems. Computational algorithms with an elastic predictor and plastic and damage corrector returning map are also developed. Finally, three numerical examples are solved and results of crack propagation paths predicted by the proposed algorithm are compared with available experimental data and those of other numerical simulations. It is shown that the results from the proposed method are in better agreement with experimental data compared to other reported numerical methods.

中文翻译：

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用于模拟混凝土裂纹扩展的扩展有限元方法和各向异性损伤塑性

摘要 在本文中，开发了一种用于预测 3D 实体混凝土中裂纹萌生和扩展方向的新算法。该算法结合了用于模拟混凝土材料退化（裂缝）和不可逆塑性变形的各向异性损伤塑性模型和扩展有限元方法 (X-FEM)。Voyiadjis 局部各向异性损伤-塑性模型以非局部形式表示，以防止损伤点的应变和损伤定位。此外，针对 3D 问题，提出了一种新的裂纹扩展方向准则，该准则基于各向异性损伤的二阶损伤张量，包含不同方向的不同材料退化分量。还开发了具有弹性预测器和塑性和损伤校正器返回图的计算算法。最后，解决了三个数值例子，并将所提出的算法预测的裂纹扩展路径结果与可用的实验数据和其他数值模拟的结果进行了比较。结果表明，与其他报道的数值方法相比，所提出方法的结果与实验数据更加吻合。