Ordinary state-based peridynamic model for geometrically nonlinear analysis

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Abstract

This study presents a novel ordinary state-based peridynamic model for geometrically nonlinear analysis. A new definition of logarithmic bond stretch for large deformations has been proposed. The peridynamic formulations for one-dimensional, two-dimensional and three-dimensional structures are obtained based on the principle of virtual displacements by using Total Lagrange formulation. The capability of the developed peridynamic model is demonstrated by predicting large deformations for a bar, a plate, and a three-dimensional structure. To further demonstrate the capabilities of the proposed model, damage on a plate and a three-dimensional structure are simulated.
LanguageEnglish
JournalEngineering Fracture Mechanics
Publication statusAccepted/In press - 28 Oct 2019

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Nonlinear analysis

Keywords

  • peridynamics
  • nonlinear analysis
  • large deformations
  • Total Lagrange
  • damage

Cite this

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title = "Ordinary state-based peridynamic model for geometrically nonlinear analysis",
abstract = "This study presents a novel ordinary state-based peridynamic model for geometrically nonlinear analysis. A new definition of logarithmic bond stretch for large deformations has been proposed. The peridynamic formulations for one-dimensional, two-dimensional and three-dimensional structures are obtained based on the principle of virtual displacements by using Total Lagrange formulation. The capability of the developed peridynamic model is demonstrated by predicting large deformations for a bar, a plate, and a three-dimensional structure. To further demonstrate the capabilities of the proposed model, damage on a plate and a three-dimensional structure are simulated.",
keywords = "peridynamics, nonlinear analysis, large deformations, Total Lagrange, damage",
author = "Nguyen, {Cong Tien} and Selda Oterkus",
year = "2019",
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day = "28",
language = "English",
journal = "Engineering Fracture Mechanics",
issn = "0013-7944",

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AU - Nguyen, Cong Tien

AU - Oterkus, Selda

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N2 - This study presents a novel ordinary state-based peridynamic model for geometrically nonlinear analysis. A new definition of logarithmic bond stretch for large deformations has been proposed. The peridynamic formulations for one-dimensional, two-dimensional and three-dimensional structures are obtained based on the principle of virtual displacements by using Total Lagrange formulation. The capability of the developed peridynamic model is demonstrated by predicting large deformations for a bar, a plate, and a three-dimensional structure. To further demonstrate the capabilities of the proposed model, damage on a plate and a three-dimensional structure are simulated.

AB - This study presents a novel ordinary state-based peridynamic model for geometrically nonlinear analysis. A new definition of logarithmic bond stretch for large deformations has been proposed. The peridynamic formulations for one-dimensional, two-dimensional and three-dimensional structures are obtained based on the principle of virtual displacements by using Total Lagrange formulation. The capability of the developed peridynamic model is demonstrated by predicting large deformations for a bar, a plate, and a three-dimensional structure. To further demonstrate the capabilities of the proposed model, damage on a plate and a three-dimensional structure are simulated.

KW - peridynamics

KW - nonlinear analysis

KW - large deformations

KW - Total Lagrange

KW - damage

UR - https://www.sciencedirect.com/journal/engineering-fracture-mechanics

M3 - Article

JO - Engineering Fracture Mechanics

T2 - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

SN - 0013-7944

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