Isogeometric analysis using peridynamics and XFEM

Erdogan Madenci, Adnan Kefal, Mehmet Dorduncu, Atila Barut, Mehmet Yildiz

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations


This study presents an approach to couple IsoGeometric Analysis (IGA) with PeriDynamics (PD) and eXtended Finite Element Method (XFEM). It removes the need for mapping from the parent space to the parametric space as part of IGA. The PD points in the parametric space are governed by the kinematics of control points in the physical space. Therefore, the total Degrees of Freedom (DoF) remains the same. The Jacobian and the strain components at each PD point in the parametric space are computed by employing the PD differential operator. Cracks are simply introduced by removing the interactions among the PD points. The appropriate enrichment functions are activated based on the crack position within the element in the parametric space. The capability of this approach is demonstrated by computing the displacement and stress fields in a curved plate with and without a pre-existing crack.

Original languageEnglish (US)
Title of host publicationAIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105326
StatePublished - 2018
Externally publishedYes
EventAIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018 - Kissimmee, United States
Duration: Jan 8 2018Jan 12 2018

Publication series

NameAIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018


OtherAIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Architecture


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