Design analysis of spherical pressure vessel

Overview

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

	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

Simulation Setup

Material:

• 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

Constraints:

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

Loads:

• 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

Temperature:

• 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

Results

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.

References

[Amir14]

(1, 2, 3) 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

Elastoplastic Notched Plate

part of: Elastoplastic Notched Plate