Peridynamics for bending of beams and plates with transverse shear deformation

C. Diyaroglu, E. Oterkus, S. Oterkus, Erdogan Madenci

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

Progressive failure analysis of structures is still a major challenge. There exist various predictive techniques to tackle this challenge by using both classical (local) and nonlocal theories. Peridynamic (PD) theory (nonlocal) is very suitable for this challenge, but computationally costly with respect to the finite element method. When analyzing complex structures, it is necessary to utilize structural idealizations to make the computations feasible. Therefore, this study presents the PD equations of motions for structural idealizations as beams and plates while accounting for transverse shear deformation. Also, their PD dispersion relations are presented and compared with those of classical theory.

Original languageEnglish (US)
JournalInternational Journal of Solids and Structures
DOIs
StateAccepted/In press - Oct 2 2014

Fingerprint

failure analysis
Shear Deformation
Shear deformation
Equations of motion
Failure analysis
finite element method
equations of motion
Transverse
shear
Finite element method
Failure Analysis
Dispersion Relation
Complex Structure
Equations of Motion
Finite Element Method
Necessary

Keywords

  • Dispersion relationships
  • Mindlin plate
  • Peridynamics
  • Timoshenko beam
  • Transverse shear deformation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Peridynamics for bending of beams and plates with transverse shear deformation. / Diyaroglu, C.; Oterkus, E.; Oterkus, S.; Madenci, Erdogan.

In: International Journal of Solids and Structures, 02.10.2014.

Research output: Contribution to journalArticle

@article{d8dfd14df9c24e91bc4a4676ac6110fe,
title = "Peridynamics for bending of beams and plates with transverse shear deformation",
abstract = "Progressive failure analysis of structures is still a major challenge. There exist various predictive techniques to tackle this challenge by using both classical (local) and nonlocal theories. Peridynamic (PD) theory (nonlocal) is very suitable for this challenge, but computationally costly with respect to the finite element method. When analyzing complex structures, it is necessary to utilize structural idealizations to make the computations feasible. Therefore, this study presents the PD equations of motions for structural idealizations as beams and plates while accounting for transverse shear deformation. Also, their PD dispersion relations are presented and compared with those of classical theory.",
keywords = "Dispersion relationships, Mindlin plate, Peridynamics, Timoshenko beam, Transverse shear deformation",
author = "C. Diyaroglu and E. Oterkus and S. Oterkus and Erdogan Madenci",
year = "2014",
month = "10",
day = "2",
doi = "10.1016/j.ijsolstr.2015.04.040",
language = "English (US)",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Peridynamics for bending of beams and plates with transverse shear deformation

AU - Diyaroglu, C.

AU - Oterkus, E.

AU - Oterkus, S.

AU - Madenci, Erdogan

PY - 2014/10/2

Y1 - 2014/10/2

N2 - Progressive failure analysis of structures is still a major challenge. There exist various predictive techniques to tackle this challenge by using both classical (local) and nonlocal theories. Peridynamic (PD) theory (nonlocal) is very suitable for this challenge, but computationally costly with respect to the finite element method. When analyzing complex structures, it is necessary to utilize structural idealizations to make the computations feasible. Therefore, this study presents the PD equations of motions for structural idealizations as beams and plates while accounting for transverse shear deformation. Also, their PD dispersion relations are presented and compared with those of classical theory.

AB - Progressive failure analysis of structures is still a major challenge. There exist various predictive techniques to tackle this challenge by using both classical (local) and nonlocal theories. Peridynamic (PD) theory (nonlocal) is very suitable for this challenge, but computationally costly with respect to the finite element method. When analyzing complex structures, it is necessary to utilize structural idealizations to make the computations feasible. Therefore, this study presents the PD equations of motions for structural idealizations as beams and plates while accounting for transverse shear deformation. Also, their PD dispersion relations are presented and compared with those of classical theory.

KW - Dispersion relationships

KW - Mindlin plate

KW - Peridynamics

KW - Timoshenko beam

KW - Transverse shear deformation

UR - http://www.scopus.com/inward/record.url?scp=84931473483&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84931473483&partnerID=8YFLogxK

U2 - 10.1016/j.ijsolstr.2015.04.040

DO - 10.1016/j.ijsolstr.2015.04.040

M3 - Article

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

ER -