Crack propagation modelling in concrete based on scaled boundary finite element generalized shape function

被引：0
|
作者：
Zhang P. [1 ,2 ]
Du C. [2 ]
Zhang D. [1 ]
机构：
[1] Nanjing Institute of Technology, Nanjing
[2] Department of Engineering Mechanics, Hohai University, Nanjing
来源：
Shuili Xuebao/Journal of Hydraulic Engineering | 2019年 / 50卷 / 12期
关键词：
Cohesive crack propagation; Concrete; Generalized shape function; Scaled boundary finite element method; Side-face loads;
D O I：
10.13243/j.cnki.slxb.20190686
中图分类号：
学科分类号：
摘要：
The new scaled boundary finite element shape function (generalized shape function) is proposed considering the side-face loads. The advantage of the generalized shape function that naturally satisfying the continuity of the interface of the element is verified. The generalized shape function method is used to study the cohesive crack propagation in concrete. In the crack propagation step, the linear asymptotic super-position assumption is adopted. In the fracture process zone, the cohesive tractions in the crack tip element and the non-crack tip elements are uniformly applied to the element node in the form of equivalent load, which is more convenient than the previous interface element method to simulate the cohesive tractions in the fracture process zone. Polygon SBFEM remeshing technology is used to simulate the concrete crack prop-agation problem, and the results of two typical examples are presented. The crack propagation path, load-displacement curve and cohesion distribution are analyzed and compared, and the mesh sensitivity is also studied. The results show that the SBFE generalized shape function method is accurate and efficient for modelling concrete crack propagation. © 2019, China Water Power Press. All right reserved.
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页码：1491 / 1501
页数：10
相关论文
共 23 条
  • [1] Hillerborg A., Modeer M., Petersson P.E., Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cement and Concrete Research, 6, 6, pp. 773-781, (1976)
  • [2] Segura J.M., Carol I., Numerical modelling of pressurized fracture evolution in concrete using zero-thickness interface elements, Engineering Fracture Mechanics, 77, 9, pp. 1386-1399, (2010)
  • [3] Prasad M.V.K.V., Krishnamoorthy C.S., Computational model for discrete crack growth in plain and rein-forced concrete, Computer Methods in Applied Mechanics and Engineering, 191, 25-26, pp. 2699-2725, (2002)
  • [4] Barsoum R.S., Triangular quarter-point elements as elastic and perfectly-plastic crack tip elements, International Journal for Numerical Methods in Engineering, 11, 1, pp. 85-98, (1977)
  • [5] Nicolas M., Dolbow J., Belytschko T., A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, 46, pp. 131-150, (1999)
  • [6] Wells G.N., Sluys L.J., A new method for modelling cohesive cracks using finite elements, International Journal for Numerical Methods in Engineering, 50, 12, pp. 2667-2682, (2001)
  • [7] Zamani A., Gracie R., Eslami M.R., Cohesive and non-cohesive fracture by higher-order enrichment of XFEM, International Journal for Numerical Methods in Engineering, 90, 4, pp. 452-483, (2012)
  • [8] Song C., Wolf J.P., The scaled boundary finite-element method-alias consistent infinitesimal finite-element cell method-for elastodynamics, Computer Methods in Applied Mechanics and Engineering, 147, 3, pp. 329-355, (1997)
  • [9] Deeks A.J., Wolf J.P., A virtual work derivation of the scaled boundary finite-element method for elastostatics, Computational Mechanics, 28, 6, pp. 489-504, (2002)
  • [10] Song C., Wolf J.P., Semi-analytical representation of stress singularities as occurring in cracks in anisotropic multi-materials with the scaled boundary finite-element method, Computers and Structures, 80, 2, pp. 183-197, (2002)
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