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Fully Coupled Peridynamic Thermomechanics

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Peridynamic Theory and Its Applications

Abstract

This chapter 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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Authors and Affiliations

  1. Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ, USA

    Erdogan Madenci

  2. Naval Architecture and Marine Engineering, University of Strathclyde, Glasgow, UK

    Erkan Oterkus

Authors
  1. Erdogan Madenci
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  2. Erkan Oterkus
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Madenci, E., Oterkus, E. (2014). Fully Coupled Peridynamic Thermomechanics. In: Peridynamic Theory and Its Applications. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8465-3_13

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  • DOI: https://doi.org/10.1007/978-1-4614-8465-3_13

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-8464-6

  • Online ISBN: 978-1-4614-8465-3

  • eBook Packages: EngineeringEngineering (R0)

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