Fill out the form to download

Required field
Required field
Not a valid email address
Required field
Required field
  • Set up your own cloud-native simulation in minutes.

  • Documentation

    Design analysis of spherical pressure vessel


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

    • Transient thermostructural analysis

    The simulation results of SimScale were compared to the analytical results presented in [Amir14].

    Import validation project into workspace


    Geometry of the 1/8th sphere
    A B C D E F
    x [m] 0 0.19 0 0.2 0 0
    y [m] 0.19 0 0.2 0 0 0
    z [m] 0 0 0 0 0.19 0.2

    Analysis type and Domain

    Tool Type : Calculix, Code_Aster

    Analysis Type : Transient Thermostructural

    Mesh and Element types :

    Case Mesh type Number of nodes Element type Value of Kappa Tool type
    (A) linear tetrahedrals 164344 3D isoparametric 20 Calculix
    (B) linear tetrahedrals 164344 3D isoparametric 20 Code_Aster
    (C) linear tetrahedrals 164344 3D isoparametric 22 Calculix
    (D) linear tetrahedrals 164344 3D isoparametric 22 Code_Aster
    Mesh used for analysis on SimScale platform

    Simulation Setup


    • isotropic: E = 190 GPa, ν = 0.305,ρ = 7750 kg/m³, Kappa = 20 W/(m.K) & 22 W/(m.K), Expansion coefficient = 9.7e-6 1/K, Reference temperature = 300 K, Specific heat = 486 J/K

    Initial conditions:

    • Temperature = 300 K


    • Face AECF zero x-displacement
    • Face BEDF zero y-displacement
    • Face ABCD zero z-displacement


    • Face ABE linear increasing pressure from 0 MPa to 1 MPa according to formula P = (0.2e6).t, where ‘t’ is time from 0 to 5 sec


    • Face ABE linear increasing temperature from 300 K to 500 K according to formula T = 40t + 300, where ‘t’ is time from 0 to 5 sec

    Heat flux:

    • Face CDF convective heat flux of h = 90 W/(m².K) with reference temperature of 300 K


    Comparison of the results with [Amir14]

    Since no value of conductivity (kappa) was provided, the values of 20 W/(m.K) and 22 W/(m.K) were used. Comparison of vonMises stress (MPa) and temperature (K) computed over the edge EF with [Amir14] at final timestep are given below.


    [Amir14] (123) Amir Afkar,Majid Nouri Camari, Amin Paykani, Design and analysis of a spherical pressure vessel using finite element method,England, UK, World Journal of Modelling and Simulation, Vol. 10 (2014) No. 2, pp. 126-135

    Last updated: January 29th, 2019

    What's Next

    part of: Elastoplastic Notched Plate