Peridynamics for bending of beams and plates with transverse shear deformation

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

Research output: Contribution to journalArticle

30 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.

LanguageEnglish
Pages152-168
Number of pages17
JournalInternational Journal of Solids and Structures
Volume69-70
Early online date10 Jun 2015
DOIs
Publication statusPublished - 30 Sep 2015

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

Cite this

@article{841bdf03f7434ee1b59a2a251c36fbd5,
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 E. Madenci",
year = "2015",
month = "9",
day = "30",
doi = "10.1016/j.ijsolstr.2015.04.040",
language = "English",
volume = "69-70",
pages = "152--168",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",

}

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

In: International Journal of Solids and Structures, Vol. 69-70, 30.09.2015, p. 152-168.

Research output: Contribution to journalArticle

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, E.

PY - 2015/9/30

Y1 - 2015/9/30

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.sciencedirect.com/science/article/pii/S0020768315002619

U2 - 10.1016/j.ijsolstr.2015.04.040

DO - 10.1016/j.ijsolstr.2015.04.040

M3 - Article

VL - 69-70

SP - 152

EP - 168

JO - International Journal of Solids and Structures

T2 - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

ER -