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A Super Singular Element for Three-Dimensional Corner Fronts

[+] Author Affiliations
Xuecheng Ping

Tianjin University of Science and Technology, Tianjin, China

Mengcheng Chen, Wei Zhu

East China Jiaotong University, Nanchang, China

Paper No. IMECE2016-65227, pp. V009T12A003; 9 pages
doi:10.1115/IMECE2016-65227
From:
  • ASME 2016 International Mechanical Engineering Congress and Exposition
  • Volume 9: Mechanics of Solids, Structures and Fluids; NDE, Diagnosis, and Prognosis
  • Phoenix, Arizona, USA, November 11–17, 2016
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5063-3
  • Copyright © 2016 by ASME

abstract

Three-dimensional (3-D) solids containing corner configurations with straight corner fronts are considered. A super polygonal prismatic element containing a straight corner front is established by using the numerical eigen-solutions of singular stress fields and Hellinger-Reissner variational principle. Singular stresses near corner fronts for far-field boundary conditions can be obtained by incorporating the super singular element with the conventional three-dimensional (3-D) brick elements. The numerical studies are conducted to demonstrate the simplicity of the proposed technique in handling fracture problems of 3-D through-thickness cracks. The usage of the super singular element can avoid mesh refinement near the corner front domain, and the simulation results have high accuracy and fast convergence speed. Compared with the conventional finite element methods and existing analytical methods, the present method is more suitable for dealing with complicated problems of stress singularity in elasticity including multiple defects.

Copyright © 2016 by ASME

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