Semi-analytical model based on generalized plane strain assumption for unidirectional composites with matrix micro cracks

Farrukh Hafeez*, Fahad Almaskari, Shuguang Li

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Generalized plane strain state is assumed and stress-based finite strip method is formulated for analysis of unidirectional laminates with matrix microcracks. Total complementary potential energy is minimized and fourth-order Euler Lagrange governing equations are presented. This stress-based generalized plane strain approach analyzes general layup and loading conditions. It provides flexibility to control the number of finite strip nodal lines within each lamina; hence, stress behavior can be predicted across each lamina at the desired location of the structure. Along with all of the capabilities which are common with finite strip methodology based on plane strain assumption, this current work has extended the analysis of the cracked laminate. For example, by incorporating behavior of the out of the plane shear stress, boundary conditions including natural boundary conditions are imposed appropriately to solve governing Euler's equations. Results are compared with previously developed displacement-based formulation in the literature for cracked laminates. It has already been shown that a stress-based plane strain approach enhances variation-based cracked laminate analysis where only the case of cross-ply laminate under tension is considered. This current work applies generalized plane strain-based finite strip methodology to carry out analysis under different loading conditions.

Original languageEnglish
Pages (from-to)591-604
Number of pages14
JournalMechanics of Advanced Materials and Structures
Issue number7
Early online date13 Apr 2016
Publication statusPublished - 19 May 2017


  • Finite strip
  • generalized plane strain approach
  • matrix crack

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Semi-analytical model based on generalized plane strain assumption for unidirectional composites with matrix micro cracks'. Together they form a unique fingerprint.

Cite this