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Dual Hybrid Boundary Node Method for Solving Transient Dynamic Fracture Problems

Y. Miao1, T.G. HE1, H. Luo1,2, H.P. Zhu1

School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
Corresponding Author. Tel: 86 27 87559534; Fax: 86 27 87542231; H. Luo Email: autumn_luoh@163.com

Computer Modeling in Engineering & Sciences 2012, 85(6), 481-498. https://doi.org/10.3970/cmes.2012.085.481

Abstract

Combined the hybrid boundary node method (Hybrid BNM) and the dual reciprocity principle, a truly boundary-type meshless method, namely, dual hybrid boundary node method (Dual Hybrid BNM) is presented for solving transient dynamic fracture problems. The enriched basis functions in moving least squares (MLS) approximation is presented for simulating the singularity of the stress field on the tip of the fracture. The solution in Dual Hybrid BNM is divided into particular solution and complementary solution. The complementary solution is solved by means of Hybrid BNM, and the particular solution is approximated by using radial basis functions (RBF). The inner nodes are just for RBF interpolation, which is not influence that the present method is a boundary-only method. The present method has many advantages such as simple pre-process and higher accuracy. Numerical examples have shown the validity of the presented scheme.

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Cite This Article

Miao, Y., HE, T., Luo, H., Zhu, H. (2012). Dual Hybrid Boundary Node Method for Solving Transient Dynamic Fracture Problems. CMES-Computer Modeling in Engineering & Sciences, 85(6), 481–498.



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