Bond-based peridynamic modeling of fiber-reinforced composite laminates with stretch and rotation kinematics

E. Madenci, A. Barut, N. D. Phan

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


This study presents the bond-based (BB) peridynamics (PD) with stretch and rotation kinematics for modeling the linear elastic deformation of a composite laminate. The laminate experiences only in-plane and transverse shear deformations and disregards the transverse normal deformation. The PD equilibrium equation for a laminate is derived under the assumption of small deformation and is solved by employing implicit techniques. The in-plane PD forces are expressed by considering the PD bond interactions among the points. The forces arising from the interaction of adjacent layers are expressed by considering a pointwise approach that utilizes the PD differential operator (PDDO) in conjunction with the shear-lag theory. The micro-moduli associated with stretch and rotation are directly related to the constitutive relations between stress and strain components in continuum mechanics. It is restricted to only one constraint on the material constants leading to a fixed value of in-plane shear modulus. The accuracy of this approach is demonstrated by capturing the correct deformation in a laminate for varying layups. Finally, its capability for progressive failure is demonstrated by considering a quasi-isotropic laminate with a pre-existing crack. It employs critical stretch, the critical skew (relative rotation) angle and the critical delamination angle in the bond breakage criteria.

Original languageEnglish (US)
Pages (from-to)3561-3576
Number of pages16
JournalEngineering with Computers
Issue number5
StatePublished - Oct 2023


  • Laminate
  • Peridynamics; composite
  • Progressive damage

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • General Engineering
  • Computer Science Applications


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