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

Abstract

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
Edition210049
ISBN (Print)9781624105326
DOIs
StatePublished - Jan 1 2018
EventAIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018 - Kissimmee, United States
Duration: Jan 8 2018Jan 12 2018

Other

OtherAIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018
CountryUnited States
CityKissimmee
Period1/8/181/12/18

Fingerprint

Cracks
Kinematics
Finite element method

ASJC Scopus subject areas

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

Cite this

Madenci, E., Kefal, A., Dorduncu, M., Barut, A., & Yildiz, M. (2018). Isogeometric analysis using peridynamics and XFEM. In AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials (210049 ed.). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2018-1464

Isogeometric analysis using peridynamics and XFEM. / Madenci, Erdogan; Kefal, Adnan; Dorduncu, Mehmet; Barut, Atila; Yildiz, Mehmet.

AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials. 210049. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.

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

Madenci, E, Kefal, A, Dorduncu, M, Barut, A & Yildiz, M 2018, Isogeometric analysis using peridynamics and XFEM. in AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials. 210049 edn, American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018, Kissimmee, United States, 1/8/18. https://doi.org/10.2514/6.2018-1464
Madenci E, Kefal A, Dorduncu M, Barut A, Yildiz M. Isogeometric analysis using peridynamics and XFEM. In AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials. 210049 ed. American Institute of Aeronautics and Astronautics Inc, AIAA. 2018 https://doi.org/10.2514/6.2018-1464
Madenci, Erdogan ; Kefal, Adnan ; Dorduncu, Mehmet ; Barut, Atila ; Yildiz, Mehmet. / Isogeometric analysis using peridynamics and XFEM. AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials. 210049. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.
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