Constitutive memory equations for auxetic materials

In this note we suggest a set of constitutive equations for anelastic materials whose internal structure can present anomalous variations resulting from external effects of tension/compression, as in auxetic media. For these problems we require of a new function related with the variation of interna...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 30; no. 3; pp. 504 - 513
Main Authors Caputo, Michele, Ruggiero, Vittorio
Format Journal Article
LanguageEnglish
Published Vilnius Gediminas Technical University 03.07.2025
Subjects
auxetic media
constitutive equations
memory
plasticity
structure transition
constitutive equations
structure transition
plasticity
memory
auxetic media
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Summary:In this note we suggest a set of constitutive equations for anelastic materials whose internal structure can present anomalous variations resulting from external effects of tension/compression, as in auxetic media. For these problems we require of a new function related with the variation of internal structure, which allows us to define a threshold separating the internal structure media from the classic ones. The equations are formulated in the case of static problems but also when the material has memory or plastic properties in addition to auxetic ones. In order to limit the complexity of the formulae, the discussion is limited to the case where the perturbation is one dimensional, which however does not limit the significance of the results.
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2025.23135