An adaptive phase-field model based on bilinear elements for tensile-compressive-shear fracture

被引:32
作者
Yue, Qiang [1 ]
Zhou, Wei [1 ]
Wang, Qiao [1 ]
Feng, Y. T. [2 ]
Ma, Gang [1 ]
Chang, Xiaolin [1 ]
机构
[1] Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan 430072, Peoples R China
[2] Swansea Univ, Zienkiewicz Ctr Computat Engn, Swansea, W Glam, Wales
基金
中国国家自然科学基金;
关键词
Phase-field model; Tensile-compressive-shear fracture; Complex stress states; Adaptive scheme; Bilinear multi-node element; FLUID-DRIVEN FRACTURE; BRITTLE-FRACTURE; CRACK-PROPAGATION; POROUS-MEDIA; DEGRADATION; FORMULATION; COALESCENCE; ELASTICITY; FAILURE; LAWS;
D O I
10.1016/j.camwa.2021.11.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An efficient adaptive phase-field method based on bilinear elements for tensile-compressive-shear fracture is developed. On the one hand, refined meshes are needed near the crack path to obtain accurate results, and the computational efficiency is very low if a prior mesh refinement is applied, especially when the crack paths are unknown. On the other hand, conventional phase-field models are not applicable to tensile-compressive shear fracture under complex stress states at present. In this paper, an adaptive scheme is proposed to improve the computational efficiency, in which a bilinear multi-node element is adopted to avoid using high order quadrature and shape functions when new nodes are inserted in elements, and a new multi-node triangular element is outlined to expand the scope of application of the proposed adaptive method. Another important aspect of the contribution is the development of the phase-field model for tensile-compressive-shear fracture under complex stress states, in which a universal fracture criterion is embedded. To determine the optimal parameters in the adaptive scheme and demonstrate the advantages of the proposed bilinear adaptive method, a series of numerical examples are performed for sensitivity analysis. Comparison with experimental results is also conducted to validate the proposed phase-field model for tensile-compressive-shear fracture under complex stress states.
引用
收藏
页码:112 / 135
页数:24
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