Calculation of stress intensity factor using displacement extrapolation method in peridynamic framework

Research output: Contribution to journalArticle

Abstract

This paper introduces a new approach to calculate stress intensity factors based on a combination of Displacement Extrapolation Method and Peridynamic Theory. After obtaining the displacement field from Peridynamic Theory, by appropriately selecting nodes at the crack tip region and their displacements yield stress intensity factors at the crack tips. To demonstrate the capability of the proposed approach, three different benchmark problems are considered including plate with a central crack, plate with an edge crack and plate with a slanted crack. Results evaluated from the current approach are compared against analytical and finite element analysis results, and good agreement is obtained between three different approaches. This shows that coupled Displacement Extrapolation Method and Peridynamic Theory approach can be an alternative method to calculate stress intensity factors.
Original languageEnglish
JournalJournal of Mechanics
Publication statusAccepted/In press - 18 Nov 2019

Fingerprint

Extrapolation Method
stress intensity factors
Stress Intensity Factor
Extrapolation
Stress intensity factors
extrapolation
Cracks
Crack tips
Crack
crack tips
Crack Tip
cracks
edge cracks
Calculate
Yield stress
Yield Stress
Finite element method
Benchmark
Finite Element
Framework

Keywords

  • stress intensity factor
  • peridynamics
  • displacement extrapolation method

Cite this

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title = "Calculation of stress intensity factor using displacement extrapolation method in peridynamic framework",
abstract = "This paper introduces a new approach to calculate stress intensity factors based on a combination of Displacement Extrapolation Method and Peridynamic Theory. After obtaining the displacement field from Peridynamic Theory, by appropriately selecting nodes at the crack tip region and their displacements yield stress intensity factors at the crack tips. To demonstrate the capability of the proposed approach, three different benchmark problems are considered including plate with a central crack, plate with an edge crack and plate with a slanted crack. Results evaluated from the current approach are compared against analytical and finite element analysis results, and good agreement is obtained between three different approaches. This shows that coupled Displacement Extrapolation Method and Peridynamic Theory approach can be an alternative method to calculate stress intensity factors.",
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author = "N. Zhu and E. Oterkus",
year = "2019",
month = "11",
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Calculation of stress intensity factor using displacement extrapolation method in peridynamic framework. / Zhu, N.; Oterkus, E.

In: Journal of Mechanics, 18.11.2019.

Research output: Contribution to journalArticle

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T1 - Calculation of stress intensity factor using displacement extrapolation method in peridynamic framework

AU - Zhu, N.

AU - Oterkus, E.

PY - 2019/11/18

Y1 - 2019/11/18

N2 - This paper introduces a new approach to calculate stress intensity factors based on a combination of Displacement Extrapolation Method and Peridynamic Theory. After obtaining the displacement field from Peridynamic Theory, by appropriately selecting nodes at the crack tip region and their displacements yield stress intensity factors at the crack tips. To demonstrate the capability of the proposed approach, three different benchmark problems are considered including plate with a central crack, plate with an edge crack and plate with a slanted crack. Results evaluated from the current approach are compared against analytical and finite element analysis results, and good agreement is obtained between three different approaches. This shows that coupled Displacement Extrapolation Method and Peridynamic Theory approach can be an alternative method to calculate stress intensity factors.

AB - This paper introduces a new approach to calculate stress intensity factors based on a combination of Displacement Extrapolation Method and Peridynamic Theory. After obtaining the displacement field from Peridynamic Theory, by appropriately selecting nodes at the crack tip region and their displacements yield stress intensity factors at the crack tips. To demonstrate the capability of the proposed approach, three different benchmark problems are considered including plate with a central crack, plate with an edge crack and plate with a slanted crack. Results evaluated from the current approach are compared against analytical and finite element analysis results, and good agreement is obtained between three different approaches. This shows that coupled Displacement Extrapolation Method and Peridynamic Theory approach can be an alternative method to calculate stress intensity factors.

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KW - peridynamics

KW - displacement extrapolation method

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