Table 2 Classical creep models and calculation formulas.

From: Creep behavior of clayey soil and its model prediction in the Cangzhou land subsidence area

Number

Model name

Creep equation

Model structure

1

Kelvin model

\(\varepsilon = \frac{\sigma }{EH}\left( {1 - e^{{ - \left( {\frac{{E_{H} }}{\eta }} \right)t}} } \right)\)

2

Maxwell model

\(\varepsilon = \sigma \left( {{t \mathord{\left/ {\vphantom {t \eta }} \right. \kern-0pt} \eta } + {1 \mathord{\left/ {\vphantom {1 {E_{H} }}} \right. \kern-0pt} {E_{H} }}} \right)\)

3

Merchant model

\(\varepsilon = \frac{\sigma }{EH} + \frac{\sigma }{EK}\left( {1 - e^{{ - \left( {\frac{EK}{\eta }} \right)t}} } \right)\)

4

Burgers model

\(\varepsilon = \sigma \left[ {\frac{1}{EH} + \frac{t}{{\eta_{1} }} + \frac{1}{EK}\left( {1 - e^{{ - \left( {\frac{EK}{\eta }} \right)t}} } \right)} \right]\)

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  1. EH is Hooke’s elastic modulus, MPa; EK is Kelvin body’s elastic modulus, MPa; η is Kelvin body’s viscosity coefficient, MPamin; η1 is Maxwell body’s viscosity coefficient, MPamin.