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Enriched finite element method for 2-D and 3-D blunt crack problems in a viscoelastic medium

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Abstract

The analysis of two-dimensional and three-dimensional blunt crack problems in a linear viscoelastic medium is numerically investigated using the enriched finite element method. The enriched crack-tip elements are established by enriching the asymptotic displacement fields at the blunt crack front to the regular elements. The corresponding transition elements are formulated to eliminate displacement field incompatibility. The viscoelastic incremental formulations for the enriched finite element method in time domain are derived according to the Boltzmann superposition principle. The time-dependent deformations of crack are presented and the stress intensity factors are directly obtained from the enriched degree of freedoms. The numerical examples indicate that the enriched finite element method is extremely suitable for dealing with complicated blunt crack problems.

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Authors and Affiliations

  1. College of Aerospace and Material Engineering, National University of Defense Technology, Changsha, 410073, China

    Jingbo Duan, Yongjun Lei & Daokui Li

Authors
  1. Jingbo Duan
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  2. Yongjun Lei
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  3. Daokui Li
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Corresponding author

Correspondence to Yongjun Lei.

Additional information

This paper was recommended for publication in revised form by Associate Editor Seong Beom Lee

Jingbo Duan received his B.S. and M.S. degrees from the National University of Defense Technology (NUDT), China, in 2005 and 2008, respectively. Mr. Duan is currently a Ph.D candidate in the College of Aerospace and Materials Engineering at the NUDT. His research interests include computational solid mechanics.

Yongjun Lei received his Ph.D in Computational Solid Mechanics at the National University of Defense Technology (NUDT), China, in 1999. During 2004 and 2005, he worked as a visiting scholar in the Department of Mechanical Engineering, University of Bristol in U.K. Dr. Lei is currently a professor in the College of Aerospace and Materials Engineering at the NUDT. His research interests include theory and application of computational solid mechanics and structural integrity analysis and storage life prediction of Solid Rocker Motor grain.

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Duan, J., Lei, Y. & Li, D. Enriched finite element method for 2-D and 3-D blunt crack problems in a viscoelastic medium. J Mech Sci Technol 26, 869–882 (2012). https://doi.org/10.1007/s12206-011-0934-6

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  • DOI: https://doi.org/10.1007/s12206-011-0934-6

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