Description
A square elastoplastic plate of side 1" and thickness 0.001" is subjected to non-proportional stressing. Use kinematic hardening to study its behavior.
File Name
Browse to drive
letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\Nonlinear_Static_11.SLDPRT and open the
file.
Shell Parameters
Shell thickness = 0.001" - thick shell formulation.
Material Model
Plasticity - von Mises.
Meshing Parameters
Use a Global Size of 0.1".
Material Properties
Modulus of elasticity = 3 X 107 psi, Poisson's ratio = 0.3, SIGYLD = 1 X 104 psi, Tangent modulus of elasticity = 5 X 106 psi, Hardening factor = 1 (full kinematic hardening).
Restraints and Loads
Two edges are simply supported and all rotations are set to zero. The
plate is subjected to uniform pressures σx and σy as illustrated in the following table:
| Loading Step |
σx
(psi) |
| 1 |
30,000 |
| 2 |
32,500 |
| 3 |
35,000 |
| 4 |
37,500 |
| 5 |
40,000 |
| 6 |
40,500 |
| 7 |
40,000 |
| 7 through 84 |
(σx2 + σy2 - σx σy)1/2 = 40,000
|
Note that the plate is loaded into the plastic range in uniaxial
tension (σ
y= 40,000 psi). The load history is described
by the equation in the table are shown in the following figures:
The following plot shows load input σy
versus σx.
Results
The following plot shows σy versus σx plot as calculated by the program. The plot is in agreement with the analytical results.
Reference
Foster Wheeler Corporation, “Intermediate Heat Exchanger for Fast Flux Test Facility: Evaluation of the Inelastic Computer Program, prepared for Westinghouse ARD, Livingston, N. J., 1972.