Acta Mechanica

, Volume 225, Issue 7, pp 1915–1930 | Cite as

Study on the element with the hole and crack

  • Qiang Xu
  • Jian-yun Chen
  • Jing Li
  • Gang Xu


A new element is proposed for describing a discontinuous medium, such as holes and cracks, inside the region of the element. The underlying idea is to construct numerically the base functions of the discontinuous region by capturing the results calculated by fine finite elements in small-scale and then to construct the element in macro-scale with the crack and hole based on the theories of the multi-scale finite element method and the extended finite element method. Some numerical analysis is performed. The results show that the proposed element can well describe the field of displacement, strain, and stress intensity of the discontinuous region inside the element and can significantly decrease the number of elements and nodes of the calculated porous structure. The precision of the proposed element is also acceptable.


Stress Intensity Factor Vertical Displacement Horizontal Displacement Calculated Model Vertical Strain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Wien 2013

Authors and Affiliations

  1. 1.School of Civil and Hydraulic EngineeringDalian University of TechnologyDalianChina
  2. 2.State Key Laboratory of Coastal and Offshore EngineeringDalian University of TechnologyDalianChina
  3. 3.Plan and Design Institute of Daqing Oilfield Commmunication CompanyDaqingChina

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