Computational Mechanics

, Volume 58, Issue 4, pp 657–679 | Cite as

Extended layerwise method for laminated composite plates with multiple delaminations and transverse cracks

  • D. H. Li
  • X. ZhangEmail author
  • K. Y. Sze
  • Y. Liu
Original Paper


In this paper, the extended layerwise method (XLWM), which was developed for laminated composite beams with multiple delaminations and transverse cracks (Li et al. in Int J Numer Methods Eng 101:407–434, 2015), is extended to laminated composite plates. The strong and weak discontinuous functions along the thickness direction are adopted to simulate multiple delaminations and interlaminar interfaces, respectively, whilst transverse cracks are modeled by the extended finite element method (XFEM). The interaction integral method and maximum circumferential tensile criterion are used to calculate the stress intensity factor (SIF) and crack growth angle, respectively. The XLWM for laminated composite plates can accurately predicts the displacement and stress fields near the crack tips and delamination fronts. The thickness distribution of SIF and thus the crack growth angles in different layers can be obtained. These information cannot be predicted by using other existing shell elements enriched by XFEM. Several numerical examples are studied to demonstrate the capabilities of the XLWM in static response analyses, SIF calculations and crack growth predictions.


Composite laminated plates Layerwise theory Delamination Transverse crack 



Supported by National Natural Science Foundations of China (11272180 and 11502286), Tsinghua University Initiative Scientific Research Program and the “Blue Sky Young Scholar” plan of Civil Aviation University of China (205003110307).


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.School of Aerospace EngineeringTsinghua UniversityBeijingChina
  2. 2.College of Aeronautical EngineeringCivil Aviation University of ChinaTianjinChina
  3. 3.Department of Mechanical EngineeringThe University of Hong KongHong KongChina

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