Efficient prediction of deterministic size effects using the scaled boundary finite element method
Efficient prediction of deterministic size effects using the scaled boundary finite element method
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DOI：
10.1016/j.engfracmech.2010.01.002
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发表时间：
2010-04
影响因子：
5.4
通讯作者：
E. Ooi;Zhenjun Yang
中科院分区：
文献类型：
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作者：
E. Ooi;Zhenjun Yang
本文开发了一种有效的数值方法，使用缩放边界有限元法 (SBFEM) 来预测准脆性材料结构中的确定性尺寸效应。根据结构的尺寸，使用两种不同的基于 SBFEM 的裂纹扩展建模方法进行断裂分析。当结构中断裂过程区（FPZ）的长度为其特征尺寸量级时，采用有限元-SBFEM耦合方法进行非线性断裂分析。在大型结构中，由于在等效非线性分析中表示 FPZ 所需的裂纹扩展长度较小，因此使用基于线弹性断裂力学 (LEFM) 的 SBFEM 来减少计算时间。两种方法都使用重新网格来模拟裂纹路径先验未知的裂纹扩展。由此产生的峰值载荷用于建立尺寸效应定律。对三个混凝土结构进行了建模以验证该方法。预测的尺寸效应与实验数据吻合良好。研究发现，所开发的方法比有限元方法更有效，至少在 LEFM 问题建模方面如此，因此是预测尺寸效应的有吸引力的工具。
This paper develops an efficient numerical approach to predict deterministic size effects in structures made of quasi-brittle materials using the scaled boundary finite element method (SBFEM). Depending on the structure’s size, two different SBFEM-based crack propagation modelling methodologies are used for fracture analyses. When the length of the fracture process zone (FPZ) in a structure is of the order of its characteristic dimension, nonlinear fracture analyses are carried out using the finite element-SBFEM coupled method. In large-sized structures, a linear elastic fracture mechanics (LEFM)-based SBFEM is used to reduce computing time due to small crack propagation length required to represent the FPZ in an equivalent nonlinear analysis. Remeshing is used in both methods to model crack propagation with crack paths unknown a priori. The resulting peak loads are used to establish the size effect laws. Three concrete structures were modelled to validate the approach. The predicted size effect is in good agreement with experimental data. The developed approach was found more efficient than the finite element method, at least in modelling LEFM problems and is thus an attractive tool for predicting size effect.