Table 1 Main similarity constants in model test.

From: Shaking table model test and numerical analysis of the steeply dipping bedded rock slopes under seismic actions

Physical quantity

Similar relationship

Similarity constant

Density (ρ)

Cρ

1

Length (L)

CL

16

Time (t)

Ct

4

Young’s modulus (E)

CE = CρCL2Ct−2

16

Poisson’s ratio (µ)

Cµ

1

Internal friction angle (φ)

Cφ

1

Cohesion (c)

Cc = CE

16

Acceleration (a)

Ca = CECρ−1CL−1

1

Frequency (f)

Cf = Ct−1

0.25

Stress (σ)

Cσ = CECε

16