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The Unknown Set of Memory Constitutive Equations of Plastic Media |
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PP: 77-83 |
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doi:10.18576/pfda/020201
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Author(s) |
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Michele Caputo,
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Abstract |
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| Plastic media have the particular property to exhibit non zero strain at a vanishing applied stress and are modeled by a variety
of possible constitutive memory equations. In this note using laboratory data we compare the results based on the constitutive equations
of Polycrystalline Halite (PH) which include the Caputo and Caputo-Fabrizio fractional derivatives to model the plastic properties of
this medium. Based on this finding we suggest that a variety of different mathematical memory formalisms is needed to model all
phenomena and media with memory. We suggest a method to obtain these mathematical formalisms with laboratory experiments which
leads to determine the plastic properties of PH showing that its strain memory is much longer than that of stress. |
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