Viscoelastic material models in peridynamics

Olaf Weckner, Nik Abdullah Nik Mohamed

    Research output: Contribution to journalArticle

    23 Citations (Scopus)

    Abstract

    In this paper we propose a new viscoelastic material model within the framework of the nonlocal peridynamic formulation of continuum mechanics. Using Fourier- and Laplace-transforms we derive integral-representation formulas using a Green's function approach for both local and nonlocal viscoelasticity. As an example we calculate the local and nonlocal response of an infinite viscoelastic bar impacted by a point load. We show both analytically and numerically that local viscoelasticity is recovered in the limit as the peridynamic lengthscales become small.

    Original languageEnglish
    Pages (from-to)6039-6043
    Number of pages5
    JournalApplied Mathematics and Computation
    Volume219
    Issue number11
    DOIs
    Publication statusPublished - 2013

    Fingerprint

    Viscoelastic Material
    Viscoelasticity
    Continuum mechanics
    Laplace transforms
    Green's function
    Fourier transforms
    Representation Formula
    Continuum Mechanics
    Integral Formula
    Integral Representation
    Length Scale
    Laplace transform
    Fourier transform
    Model
    Calculate
    Formulation

    Keywords

    • Nonlocality
    • Peridynamics

    ASJC Scopus subject areas

    • Applied Mathematics
    • Computational Mathematics

    Cite this

    Viscoelastic material models in peridynamics. / Weckner, Olaf; Nik Mohamed, Nik Abdullah.

    In: Applied Mathematics and Computation, Vol. 219, No. 11, 2013, p. 6039-6043.

    Research output: Contribution to journalArticle

    Weckner, Olaf ; Nik Mohamed, Nik Abdullah. / Viscoelastic material models in peridynamics. In: Applied Mathematics and Computation. 2013 ; Vol. 219, No. 11. pp. 6039-6043.
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