PLate Impact based on Johnson Cook Parameters

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Finite Element Analysis (FEA) Tutorial Project: Impact Loading using the Johnson-Cook Plasticity-Damage Model

Transcript of PLate Impact based on Johnson Cook Parameters

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Finite Element Analysis (FEA)

TutorialProject: Impact Loading using the

Johnson-Cook Plasticity-DamageModel

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Problem

• Analyze the impact loading of an object onaluminum plates using FEA tool ABAQUS

t= 26.3 mm

L=304 mm

• Determine:• Plot

Plate Dimensions:t= 26.3 mmw=304 mmL= 304 mm

Projectile Dimensions:d= 12.9 mmlp= 88.9 mm

lp

d

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Preprocessing

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Creating The Geometry

• Open ABAQUS/CAE and create a new parts: – Aluminum Plate – Projectile

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Creating The Geometry

• Aluminum Plate

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Projectile

Creating The Geometry

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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

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Material Properties

• Aluminum Plate and Projectile Plastic Data

Johnson-CookPlasticity

A[Mpa]

B[Mpa]

n m C ε 0

[1/s]

Aluminum Plate 262 162.1 0.2783 1.34 - -

Projectile 1430 2545 0.7 1.03 0.014 15.0

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Material Properties

• Aluminum Plate Johnson-Cook DynamicFailure Model

Material d1 d2 d3 d4 d5 MeltingTemperature

(°C)

TransitionTemperature

(°C)

ReferenceStrain Rate

1/s

AluminumPlate

-0.77 1.45 0.47 0 1.6 651.85 20.05 1

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ABAQUS Material Definition1

2

3

4

5

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ABAQUS Material Definition• Add Damage Evolution

• Set the displacement atfailure to 0.9

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Creating an Assembly

• Double click on instances

• Set the projectile 100 mmfrom the origin (center of

the plate )

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Interactions properties

• Double click in interaction properties, selectcontact. Select Mechanical, Normal Behavior

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Interaction properties continued

• Select the default setand click OK

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Interactions

• Double click on Interactions, General Contact,All with self and add the created IntProp-1 inindividual property assignment

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Creating Mesh (partitioning)Aluminum Plate

• Create a Partition of the plate• Seed edges and select the partition lines

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Creating Mesh (Continued)

• Repeat the procedure in the opposite directionsfor the rest of the internal lines

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Creating Mesh

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Creating Mesh Projectile

• Create a Partition of the projectile• Select an the approximate global size

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Creating Mesh• From Mesh Element Type Select Element

Deletion for the Plate and the projectile

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Creating a Step

• Double click Steps under Model tree andCreate step window will pop up

• This time you will modify the time period

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Field Output Request

• Select SDEG scalar Stiffness degradation andStatus as output variables

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Boundary Conditions

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Results with v3 =-700000 anddisplacement at failure 0.9Time t 0 Time t 1

Time t 2 Time t 3

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Results

Time t 4 Time t 5

Time t 6 Time t 7

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Results

Time t 8 Time t 9

Time t 10 Time t 11

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Results

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Rebound of the projectile

• Change the value of predefined velocity field• Delete the damage evolution in Materials

Aluminum Plate

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Boundary Conditions

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Delete the Damage Evolution

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Results

Time t 0 Time t 2

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Conduct simulations

• Change the values of displacements at failurefrom 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, thetrajectory of the projectile and the velocity

• Improve the model using your favorite

meshing technique to refine the center of theplate or reduce the geometry to the half or aquarter.

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Notes

• By modifying the velocity from 100, 000 mm/sto 1,000 000 mm/s consider the time that youneed to input on step-time period.