Voluminal Paving Stone Subjected to Harmonic Pressure

Overview

The aim of this test case is to validate the following functions:

• Harmonic analysis
• Harmonic pressure

The simulation results of SimScale were compared to the numerical results in [SDLV124]. The mesh used in case (A) was obtained from Code_Aster.

Import validation project into workspace

Geometry

A B C D A’ B’ C’ D’
x [m] 0 0.35 0.35 0 0 0.35 0.35 0
y [m] 0 0 0.25 0.25 0 0 0.25 0.25
z [m] 0 0 0 0 0.01 0.01 0.01 0.01

Analysis type and Domain

Tool Type : Code_Aster

Analysis Type : Harmonic analysis

Mesh and Element types :

Case Mesh type Number of nodes Element type
(A) linear hexahedral 1764 3D isoparametric

Simulation Setup

Material:

• isotropic: E = 180 GPa, ν
$\nu$

= 0.3, ρ

$\rho$

= 7800 kg/m³

• Rayleigh damping: αk
${\alpha }_{k}$

= 3E-5 s, βm

${\beta }_{m}$

= 1E-3 s⁻¹

Constraints:

• Faces ABA’B’, BCB’C’, CDC’D’ and ADA’D’ are fixed

• Pressure of 0,5 MPa on Face ABCD

Results

Comparison of displacements at point E (0.1575, 0.125, 0) obtained with SimScale with the results presented in [SDLV124]. The Error was calculated with respect to [SDLV124_N].

Comparison of the displacement dx

${d}_{x}$

at point E

Case Quantity [SDLV124_N] [SDLV124] SimScale Error (%)
(A) dX

${d}_{X}$

[m]

9.0386E-007 9.0529E-007 9.0529E-007 0.16%

References

 [SDLV124_N] (1, 2) The reference solution was obtained with a transient dynamic simulation as stated in [SDLV124]
 [SDLV124] (1, 2, 3, 4) SDLV124 – Pavé volumique soumis à une pression harmonique