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Advanced Modeling and Simulation in Engineering Sciences

Table 4 Some creep laws encountered in the literature (see, e.g., Ref. [61])

From: Symmetry analysis and equivalence transformations for the construction and reduction of constitutive models

References

Relationship

[71, 72]

\(\varepsilon =f_1(\sigma ) f_2(t) f_3(T)\)

[73,74,75,76]

\({\dot{\varepsilon }}=f_1(\sigma ) f_2(t) f_3(T)\)

[73, 74, 77, 78]

\({\dot{\varepsilon }}=g_1(\sigma ) g_2(\varepsilon _c) g_3(T)\)

[74]

\(E(t) \Phi [\varepsilon (t)]=\sigma (t)+\int _0^t K(t,\tau ) \sigma (\tau ) d\tau \)

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