Enriched finite element analysis of stress intensity factors of bi-material V-notch

被引：1
|
作者：
Yang J. [1 ,2 ]
Han J. [2 ]
Lei Y. [1 ]
Meng S. [2 ]
机构：
[1] College of Aerospace Science and Engineering, National University of Defense Technology, Changsha
[2] Beijing Institute of Special Electromechanical Technology, Beijing
来源：
Lei, Yongjun (leiyj108@nudt.edu.cn) | 1600年 / National University of Defense Technology卷 / 38期
关键词：
Asymptotic displacement field; Bi-material V-notch; Enriched element; Stress intensity factor; Transition element;
D O I：
10.11887/j.cn.201601025
中图分类号：
学科分类号：
摘要：
The V-notch asymptotic displacement field was derived through an approach based on the Williams' series expansion and linear algebraic transforms. By incorporating the displacement expressions to the common isoparametric elements, the enriched and transition element displacement model were obtained, and then the enriched finite element equation was derived consequently. The enriched finite element model for a V-notched bi-material three-point bending beam and an orthogonal bonded materials interface end plane problem were constructed. The stress intensity factors can be solved directly from the finite element equation. Comparisons between the results and the published data computed with other algorithm indicate that the present method is correct and can be used to analyze the fracture property of the V-notched bi-material structure. © 2016, National University of Defense Technology. All right reserved.
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页码：156 / 162
页数：6
相关论文
共 18 条
  • [1] Pageau S.S., Gadi K.S., Biggers S.B., Et al., Standardized complex and logarithmic eigensolutions for n-material wedges and junctions, International Journal of Fracture, 77, 1, pp. 51-76, (1996)
  • [2] Tan M.A., Meguid S.A., Analysis of bimaterial wedges using a new singular finite element, International Journal of Fracture, 88, 4, pp. 373-391, (1997)
  • [3] Gu L., Belytschko T., A numerical study of stress singularities in a two-material wedge, International Journal of Solids and Structures, 31, 6, pp. 865-889, (1994)
  • [4] Pageau S.S., Joseph P.F., Biggers S.B., Finite element analysis of anisotropic materials with singular inplane stress fields, International Journal of Solids and Structures, 32, 5, pp. 571-591, (1995)
  • [5] Pageau S.S., Biggers S.B., A finite element approach to three dimensional singular stress states in anisotropic multi-material wedges and junctions, International Journal of Solids and Structures, 33, 1, pp. 33-47, (1996)
  • [6] Zhang N.S., Joseph P.F., A nonlinear finite element eigen analysis of singular plane stress fields in bimaterial wedges including complex eigenvalues, International Journal of Fracture, 90, 3, pp. 175-207, (1998)
  • [7] Ping X., Xie J., Chen M., Et al., Anon-confirming finite element analysis of singular fields in prismatic anisotropic bimaterial wedges, Acta Mechanica Sinica, 37, 1, pp. 24-31, (2005)
  • [8] Ping X., Chen M., Xie J., Singular stress states in tips of anisotropic multi-material wedges and junction subjected to antiplane shear, Acta Mechanica Solid Sinica, 26, 2, pp. 193-198, (2005)
  • [9] Cheng C.Z., Niu Z.R., Recho N., Analysis of the stress singularity for a bi-material V-notch by the boundary element method, Applied Mathematical Modelling, 37, 22, pp. 9398-9408, (2013)
  • [10] Wang H., A one-dimensional hybrid finite element method for the analysis of stress singularities at bimaterial interface, Engineering Mechanics, 26, 2, pp. 21-26, (2009)
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