Peridynamic thermal diffusion

Selda Oterkus; Erdogan Madenci; Abigail Agwai

doi:10.1016/j.jcp.2014.01.027

Peridynamic thermal diffusion

Selda Oterkus, Erdogan Madenci, Abigail Agwai

Aerospace and Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

294 Scopus citations

Abstract

This study presents the derivation of ordinary state-based peridynamic heat conduction equation based on the Lagrangian formalism. The peridynamic heat conduction parameters are related to those of the classical theory. An explicit time stepping scheme is adopted for numerical solution of various benchmark problems with known solutions. It paves the way for applying the peridynamic theory to other physical fields such as neutronic diffusion and electrical potential distribution.

Original language	English (US)
Pages (from-to)	71-96
Number of pages	26
Journal	Journal of Computational Physics
Volume	265
DOIs	https://doi.org/10.1016/j.jcp.2014.01.027
State	Published - May 15 2014

Keywords

Conduction
Diffusion
Nonlocal
Peridynamics
Thermal

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2014.01.027

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abstract = "This study presents the derivation of ordinary state-based peridynamic heat conduction equation based on the Lagrangian formalism. The peridynamic heat conduction parameters are related to those of the classical theory. An explicit time stepping scheme is adopted for numerical solution of various benchmark problems with known solutions. It paves the way for applying the peridynamic theory to other physical fields such as neutronic diffusion and electrical potential distribution.",

keywords = "Conduction, Diffusion, Nonlocal, Peridynamics, Thermal",

author = "Selda Oterkus and Erdogan Madenci and Abigail Agwai",

year = "2014",

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T1 - Peridynamic thermal diffusion

AU - Oterkus, Selda

AU - Madenci, Erdogan

AU - Agwai, Abigail

PY - 2014/5/15

Y1 - 2014/5/15

N2 - This study presents the derivation of ordinary state-based peridynamic heat conduction equation based on the Lagrangian formalism. The peridynamic heat conduction parameters are related to those of the classical theory. An explicit time stepping scheme is adopted for numerical solution of various benchmark problems with known solutions. It paves the way for applying the peridynamic theory to other physical fields such as neutronic diffusion and electrical potential distribution.

AB - This study presents the derivation of ordinary state-based peridynamic heat conduction equation based on the Lagrangian formalism. The peridynamic heat conduction parameters are related to those of the classical theory. An explicit time stepping scheme is adopted for numerical solution of various benchmark problems with known solutions. It paves the way for applying the peridynamic theory to other physical fields such as neutronic diffusion and electrical potential distribution.

KW - Conduction

KW - Diffusion

KW - Nonlocal

KW - Peridynamics

KW - Thermal

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SP - 71

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JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Peridynamic thermal diffusion

Abstract

Keywords

ASJC Scopus subject areas

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