A new augmented finite element method (A-FEM) for progressive failure analysis of advanced composite materials

Q. Yang, M. Naderi

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations


This paper presents a new augmented finite element method (A-FEM) that enables efficient and accurate treatment of arbitrary, multiple intra-elemental discontinuities in composite materials with complex microstructures. The new A-FEM employs four internal nodes to account for the crack displacements due to an intra-elemental weak or strong discontinuity, and it permits repeated elemental augmentation to include multiple interactive cracks. It thus enables a unified treatment of damage evolution from a weak discontinuity to a strong discontinuity, and to multiple interactive cohesive cracks, all within a single element that employs standard external nodal degree of freedoms (DoFs) only. A novel elemental condensation procedure has been developed to solve the internal nodal DoFs as functions of the external nodal DoFs for any irreversible, piecewise linear cohesive laws. It leads to a fully condensed elemental equilibrium equation with mathematical exactness, eliminating the need for nonlinear equilibrium iterations at elemental level. The new A-FEM's high-fidelity simulation capabilities to interactive cohesive crack formation and propagation in homogeneous and heterogeneous solids have been demonstrated through several challenging numerical examples. It has shown that the new A-FEM, empowered by the novel elemental condensation procedure, is numerically very efficient, accurate, and robust.

Original languageEnglish (US)
Title of host publicationNumerical Modelling of Failure in Advanced Composite Materials
PublisherElsevier Inc.
Number of pages44
ISBN (Electronic)9780081003428
ISBN (Print)9780081003329
StatePublished - Aug 19 2015


  • Augmented-FEM
  • Cohesive zone models
  • Composite failure
  • Fracture

ASJC Scopus subject areas

  • Engineering(all)
  • Materials Science(all)


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