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    3D Memory Constitutive Equations for Plastic Media

    New search for: Caputo, Michele
    New search for: Fabrizio, Mauro

    In this paper, the authors begin by observing that using the new definition of fractional derivative with an exponential kernel makes it is possible to obtain again some generalized constitutive equation of continuum mechanics as a Kelvin-Voight Maxwell standard linear solid. However, this equivalence holds only in a space of smooth solutions. In the second part, two different fractional derivatives to describe the behavior of some types of plastic materials are considered. Before a kernel with a negative power of the variable and then a kernel with a negative exponential are assumed. The problems related with 1 D (one dimensional) stress and a 1 D strain respectively are applied to the 3 D (three dimensional) body as part of a discussion of the Poisson phenomenon.

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    3D Memory Constitutive Equations for Plastic Media

    New search for: Caputo, Michele
    New search for: Fabrizio, Mauro

    In this paper, the authors begin by observing that using the new definition of fractional derivative with an exponential kernel makes it is possible to obtain again some generalized constitutive equation of continuum mechanics as a Kelvin-Voight Maxwell standard linear solid. However, this equivalence holds only in a space of smooth solutions. In the second part, two different fractional derivatives to describe the behavior of some types of plastic materials are considered. Before a kernel with a negative power of the variable and then a kernel with a negative exponential are assumed. The problems related with 1 D (one dimensional) stress and a 1 D strain respectively are applied to the 3 D (three dimensional) body as part of a discussion of the Poisson phenomenon.

    Access

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    Check availability in my library
    Order at Subito €

    3D Memory Constitutive Equations for Plastic Media

    New search for: Caputo, Michele
    New search for: Fabrizio, Mauro

    In this paper, the authors begin by observing that using the new definition of fractional derivative with an exponential kernel makes it is possible to obtain again some generalized constitutive equation of continuum mechanics as a Kelvin-Voight Maxwell standard linear solid. However, this equivalence holds only in a space of smooth solutions. In the second part, two different fractional derivatives to describe the behavior of some types of plastic materials are considered. Before a kernel with a negative power of the variable and then a kernel with a negative exponential are assumed. The problems related with 1 D (one dimensional) stress and a 1 D strain respectively are applied to the 3 D (three dimensional) body as part of a discussion of the Poisson phenomenon.

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    Title:

    3D Memory Constitutive Equations for Plastic Media

    Contributors:

    Caputo, Michele (author) / Fabrizio, Mauro (author)

    Published in:

    Journal of Engineering Mechanics

    Publication date:

    2016-06-06

    ISSN:

    0733-9399 , 1943-7889

    DOI:

    https://doi.org/10.1061/(ASCE)EM.1943-7889.0001128

    Type of media:

    Article (Journal)

    Type of material:

    Electronic Resource

    Language:

    Unknown

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