Finite Element Analysis (FEA)
Tutorial
Project: Impact Loading using the
Johnson-Cook Plasticity-Damage
Model
Problem
• Analyze the impact loading of an object on
aluminum plates using FEA tool ABAQUS
Plate Dimensions:
t= 26.3 mm
w=304 mm
L= 304 mm
Projectile Dimensions:
d= 12.9 mm
lp= 88.9 mm
lp
L=304 mm
• Determine:
• Plot
d
t= 26.3 mm
Preprocessing
Creating The Geometry
• Open ABAQUS/CAE and create a new parts:
– Aluminum Plate
– Projectile
Creating The Geometry
• Aluminum Plate
Creating The Geometry
• Projectile
Material Properties
• Aluminum Plate and Projectile
Model Part
Young
Modulus
(MPa)
Poisson
Ratio
Density
(Tonne/mm^3)
Aluminum Plate
69000
0.35
2.7E-009
Projectile
202000
0.3
8.6E-009
Material Properties
• Aluminum Plate and Projectile Plastic Data
m
C
ε0
Johnson-Cook
Plasticity
A
[Mpa]
B
[Mpa]
n
Aluminum Plate
262
162.1
0.2783
1.34
-
-
Projectile
1430
2545
0.7
1.03
0.014
15.0
[1/s]
Material Properties
• Aluminum Plate Johnson-Cook Dynamic
Failure Model
Material
d1
d2
d3
d4
d5
Melting
Temperature
(°C)
Transition
Temperature
(°C)
Reference
Strain Rate
1/s
Aluminum
Plate
-0.77
1.45
0.47
0
1.6
651.85
20.05
1
1
ABAQUS Material Definition
4
3
5
2
ABAQUS Material Definition
• Add Damage Evolution
• Set the displacement at
failure to 0.9
Creating an Assembly
• Double click on instances
• Set the projectile 100 mm
from the origin (center of
the plate )
Interactions properties
• Double click in interaction properties, select
contact. Select Mechanical, Normal Behavior
Interaction properties continued
• Select the default set
and click OK
Interactions
• Double click on Interactions, General Contact,
All with self and add the created IntProp-1 in
individual property assignment
Creating Mesh (partitioning)
Aluminum Plate
• Create a Partition of the plate
• Seed edges and select the partition lines
Creating Mesh (Continued)
• Repeat the procedure in the opposite directions
for the rest of the internal lines
Creating Mesh
Creating Mesh Projectile
• Create a Partition of the projectile
• Select an the approximate global size
Creating Mesh
• From Mesh
Element Type Select Element
Deletion for the Plate and the projectile
Creating a Step
• Double click Steps under Model tree and
Create step window will pop up
• This time you will modify the time period
Field Output Request
• Select SDEG scalar Stiffness degradation and
Status as output variables
Boundary Conditions
Results with v3 =-700000 and
displacement at failure 0.9
Time t0
Time t2
Time t1
Time t3
Results
Time t4
Time t6
Time t5
Time t7
Results
Time t8
Time t9
Time t10
Time t11
Results
Rebound of the projectile
• Change the value of predefined velocity field
• Delete the damage evolution in Materials
Aluminum Plate
Boundary Conditions
Delete the Damage Evolution
Results
Time t0
Time t2
Conduct simulations
• Change the values of displacements at failure
from 0.1 to 0.9 and keep damage evolution.
• Comment on the results for Von Mises stress,
the morphology of the plate and the hole, the
trajectory of the projectile and the velocity
• Improve the model using your favorite
meshing technique to refine the center of the
plate or reduce the geometry to the half or a
quarter.
Notes
• By modifying the velocity from 100, 000 mm/s
to 1,000 000 mm/s consider the time that you
need to input on step-time period.