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A new dissipation model based on memory mechanism

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Summary

The model of dissipation based on memory introduced by Caputo is generalized and checked with experimental dissipation curves of various materials.

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Abbreviations

σ:

unidimensional stress

ε:

unidimensional strain

Q −1 :

specific dissipation function

c(t) :

creep compliance

m(t) :

relaxation modulus

c 0 :

instantaneous compliance

m ∞ :

equilibrium modulus

ψ(t):

creep function

\(\bar \psi (t)\) :

relaxation function

ξ(τ):

spectral distribution of retardation times

\(\bar \xi (\tau )\) :

spectral distribution of relaxation times

c *(ω):

complex compliance

m *(ω):

complex modulus

tangδ:

loss-tangent

References

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Authors and Affiliations

  1. Instituto di Fisica-Istituto di Geodesia, University of Bologna, 2, Viale Risorgimento, 40136, Bologna, (Italy)

    F. Mainardi

Authors
  1. M. Caputo
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  2. F. Mainardi
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Caputo, M., Mainardi, F. A new dissipation model based on memory mechanism. PAGEOPH 91, 134–147 (1971). https://doi.org/10.1007/BF00879562

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  • DOI: https://doi.org/10.1007/BF00879562

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