Mesh reduction strategy: special element for modelling anisotropic materials with defects

Changyong Cao, Aibing Yu, Qing H. Qin

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

1 Citation (Scopus)


In this paper we present a hybrid finite element method (HFS-FEM) to model efficiently and accurately anisotropic materials with defects by developing special elements for elliptic hole/crack based on their associated Green's functions. The hybrid method is formulated based on two independent assumptions: intra-element field in terms of the combination of fundamental solutions and inter-element frame fields along the element boundary. A modified functional, which is satisfying the governing equation, boundary and continuity conditions between elements, is proposed to derive the element stiffness. In this work, the foundational solutions of the anisotropic materials following Stroh formalism are employed to approximate the intra-element displacement field of general elements, while the special fundamental solutions satisfying the required boundary conditions for hole or crack are used for the special elements containing defects. Two examples are presented to assess the performance of the proposed method. Numerical results obtained for the stress concentration factor (SCF) and stress intensity factor (SIF) are extremely accurate for the investigated cases.

Original languageEnglish
Title of host publicationBoundary Elements and other Mesh Reduction Methods XXXVI
EditorsX.W. Gao, A.H-D. Cheng, C.A. Brebbia
Place of PublicationSouthampton UK
PublisherWIT Press
Number of pages12
ISBN (Electronic)9781845648428
ISBN (Print)9781845648411
Publication statusPublished - 2014
Externally publishedYes
EventWorld Conference on Boundary Elements and Other Mesh Reduction Methods 2013 - Dalian, China
Duration: 22 Oct 201324 Oct 2013
Conference number: 36th

Publication series

NameWIT Transactions on Modelling and Simulation
PublisherWIT Press
ISSN (Print)1746-4064
ISSN (Electronic)1743-355X


ConferenceWorld Conference on Boundary Elements and Other Mesh Reduction Methods 2013
Abbreviated titleBEM/MRM 2013
OtherBEM/MRM held two conferences with the same name in 2013.
Internet address


  • Anisotropic elasticity
  • Green's function
  • Hybrid finite element
  • Stroh formalism
  • Stress intensity factor

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