Fully coupled peridynamic thermomechanics

Selda Oterkus, Erdogan Madenci, Abigail Agwai

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

This study concerns the derivation of the coupled peridynamic (PD) thermomechanics equations based on thermodynamic considerations. The generalized peridynamic model for fully coupled thermomechanics is derived using the conservation of energy and the free-energy function. Subsequently, the bond-based coupled PD thermomechanics equations are obtained by reducing the generalized formulation. These equations are also cast into their nondimensional forms. After describing the numerical solution scheme, solutions to certain coupled thermomechanical problems with known previous solutions are presented.
LanguageEnglish
Pages1-23
Number of pages23
JournalJournal of the Mechanics and Physics of Solids
Volume64
Early online date30 Oct 2013
DOIs
Publication statusPublished - 31 Mar 2014

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Free energy
Conservation
Thermodynamics
thermodynamics
conservation
casts
derivation
free energy
formulations
energy

Keywords

  • peridynamics
  • thermomechanics
  • coupled
  • deformation
  • thermal

Cite this

Oterkus, Selda ; Madenci, Erdogan ; Agwai, Abigail. / Fully coupled peridynamic thermomechanics. In: Journal of the Mechanics and Physics of Solids. 2014 ; Vol. 64. pp. 1-23.
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Fully coupled peridynamic thermomechanics. / Oterkus, Selda; Madenci, Erdogan; Agwai, Abigail.

In: Journal of the Mechanics and Physics of Solids, Vol. 64, 31.03.2014, p. 1-23.

Research output: Contribution to journalArticle

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AB - This study concerns the derivation of the coupled peridynamic (PD) thermomechanics equations based on thermodynamic considerations. The generalized peridynamic model for fully coupled thermomechanics is derived using the conservation of energy and the free-energy function. Subsequently, the bond-based coupled PD thermomechanics equations are obtained by reducing the generalized formulation. These equations are also cast into their nondimensional forms. After describing the numerical solution scheme, solutions to certain coupled thermomechanical problems with known previous solutions are presented.

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