Coupling of peridynamics with finite elements without an overlap zone

Erdogan Madenci, Atila Barut, Mehmet Dorduncu, Nam D. Phan

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

1 Citation (Scopus)

Abstract

This study presents a variational approach to couple PeriDynamic (PD) and Finite Element (FE) analyses to take advantage of their salient features. The region of PD can be completely or partially surrounded by a region of traditional finite elements. There exists no overlap (transition) region along the interface of these regions unlike the previous coupling techniques. Therefore, this approach does not require a morphing or a blending function that facilitates coupling over a transition zone. The PD region with an arbitrary geometry is interfaced with traditional local (conventional) elements while satisfying the displacement continuity through Lagrange multipliers. The resulting global system of equations includes the contributions arising from the PD points and the FE nodes. These equations are solved simultaneously without requiring an iterative procedure. Therefore, it is a direct coupling approach. This coupling approach is demonstrated by considering an isotropic plate under tensile loading. Part of the plate is modeled with PD points, and the remaining region with linear triangular elements. The PD region can share a boundary with FEM region or completed embedded in the FE region. The results from the coupled PD/FE approach agree well with those of PD and FE analyses.

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

Lagrange multipliers
Finite element method
Geometry

ASJC Scopus subject areas

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

Cite this

Madenci, E., Barut, A., Dorduncu, M., & Phan, N. D. (2018). Coupling of peridynamics with finite elements without an overlap zone. In AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials (210049 ed.). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2018-1462

Coupling of peridynamics with finite elements without an overlap zone. / Madenci, Erdogan; Barut, Atila; Dorduncu, Mehmet; Phan, Nam D.

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, Barut, A, Dorduncu, M & Phan, ND 2018, Coupling of peridynamics with finite elements without an overlap zone. 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/10.2514/6.2018-1462
Madenci E, Barut A, Dorduncu M, Phan ND. Coupling of peridynamics with finite elements without an overlap zone. In AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials. 210049 ed. American Institute of Aeronautics and Astronautics Inc, AIAA. 2018 https://doi.org/10.2514/6.2018-1462
Madenci, Erdogan ; Barut, Atila ; Dorduncu, Mehmet ; Phan, Nam D. / Coupling of peridynamics with finite elements without an overlap zone. AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials. 210049. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.
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