Description
A simply supported plate of radius 7.5 in and thickness 0.5 in is subjected to a uniform pressure of 36 psi. The plate is made of an isotropic incompressible material of the Mooney-Rivlin type. Calculate the variation of central deflection with applied pressure.
File Name
Browse to drive
letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\Nonlinear_Static_16.SLDPRT and open the
file.
Study Type
Nonlinear static
Meshing Parameters
Use a Global size of 0.8".
Modeling Hints
Due to symmetry, only a 5 degree wedge of the plate is considered.
Material Model
Hyperelastic material with Mooney-Rivlin type model.
Material Properties
Poisson's ratio in XY dir = 0.4999, First material constant = 80 psi, Second material constant = 20 psi, Mass Density = 0.04 lb/in3.
Restraints and Loads
The displacements at the circular edge are restrained along all 3 directions in cylindrical coordinates. The center is constrained in radial and circumferential directions. The face of the shell is restrained to maintain axisymmetric conditions. A pressure of 36 psi is applied on the face of the shell.
Results
The nonlinear variation of central deflection with applied pressure agrees with the finite element solution provided by the reference.
The X axis shows the applied pressure in psi. The Y axis shows the deflection at the center in inches.
The results of the nonlinear analysis have been processed by a graphing software to generate the above graph.
Reference
T.J.R. Hughes and E. Carnoy, "Nonlinear Finite Element Shell Formulation Accounting for Large Membrane Strains", Nonlinear Finite Element Analysis of Plates and Shells. AMD Vol. 48, pp. 193-208, ASME, New York.