Plasticity Tutorial Ver 611

8/10/2019 Plasticity Tutorial Ver 611

1/14

2012 Hormoz Zareh & Jenna Bell 1 Portland State University, Mechanical Engineering

Abaqus/CAE(ver.6.11)Material Nonlinearity Tutorial

ProblemDescription

A rectangular steel cantilevered beam has a downward load applied to one end. The load is expected to

produce plastic deformation. An experimentally determined stress strain curve was supplied for the steelmaterial. We will investigate the magnitude and depth of plastic strain.


2/14


AnalysisSteps1. StartAbaqusandchoosetocreateanewmodeldatabase

2. InthemodeltreedoubleclickonthePartsnode(orrightclickonpartsandselectCreate)

3. IntheCreatePartdialogbox(shownabove)namethepartand

a. Select2DPlanar

b. SelectDeformable

c. SelectShell

d. Setapproximatesize=200

e. ClickContinue

4. Createthegeometryshownbelow(notdiscussedhere)

5. DoubleclickontheMaterialsnodeinthemodeltree


3/14


a. Namethenewmaterialandgiveitadescription

b.

Thestressstraindata,shownbelow,wasmeasuredforthematerialused

i.

Thisdataisbasedonthenominal(engineering)stressandstrain

NominalStress(Pa) NominalStrain

0.00E+00 0.00E+00

2.00E+08 9.50E04

2.40E+08 2.50E02

2.80E+08 5.00E02

3.40E+08 1.00E01

3.80E+08 1.50E01

4.00E+08 2.00E01

ii. Abaqusexpectsthestressstraindatatobeenteredastruestressandtrueplasticstrain

1. Inadditionthemodulusofelasticitymustcorrespondtotheslopedefinedbythe

firstpoint(theyieldpoint).

iii.

Toconvert

the

nominal

stress

to

true

stress,

use

the

following

equation

1. 1

iv. Toconvertthenominalstraintotruestrain,usethefollowingequation

1.

1

v. Tocalculatethemodulusofelasticity,dividethefirstnonzerotruestressbythefirstnonzero

truestrain

vi. Toconvertthetruestraintotrueplasticstrain,usethefollowingequation

1.

vii. Theresultsshouldbe

True

Stress

(Pa) Plastic

Strain Elastic

Modulus

(Pa)

2.002E+08 0.000E+00 2.1073E+11

2.460E+08 2.353E02

2.940E+08 4.740E02

3.740E+08 9.354E02

4.370E+08 1.377E01

4.800E+08 1.800E01

0.00E+00

1.00E+08

2.00E+08

3.00E+08

4.00E+08

6.38E16 2.50E02 5.00E02 7.50E02 1.00E01 1.25E01 1.50E01 1.75E01 2.00E01

NominalStress(Pa)

NominalStrain


4/14


c. ClickontheMechanicaltabElasticityElastic

i.

Enterthecalculatedmodulusofelasticity,andPoisonsratioof0.3

d.

ClickontheMechanicaltabPlasticityPlastic

i. Enterthecalculatedtruestressandplasticstrain

1. NotethatyoucansimplycopyyourcalculatedvaluesfromExcel(orsimilar)and

pastethemintoAbaqus

e.

ClickOK

6.

Doubleclick

on

the

Sections

node

in

the

model

tree

a.

NamethesectionPlaneStressPropertiesandselectSolidforthecategoryandHomogeneous

forthetype

b. ClickContinue

c. Selectthematerialcreatedabove(Steel)andsetthethicknessto5.

d. ClickOK


5/14


7.ExpandthePartsnodeinthemodeltree,expandthenodeofthepartjustcreated,anddoubleclickon

SectionAssignments

a.

SelecttheentiregeometryintheviewportandpressDoneinthepromptarea

b. Selectthesectioncreatedabove(PlaneStressProperties)

c. VerifyFromsectionisselectedunderThickness

d. ClickOK

8. ExpandtheAssemblynodeinthemodeltreeandthendoubleclickonInstances

a.

SelectDependentfortheinstancetype

b. ClickOK


6/14


9.DoubleclickontheStepsnodeinthemodeltree

a.

Namethestep,settheproceduretoGeneral,and

selectStatic,General

b. OntheBasictab,givethestepadescriptionand

changethetimeperiodto2

i. Forthisanalysisneglecttheeffectsof

geometricnonlinearities

(Nlgeom

=Off)

c. OntheIncrementation tab,

i. Settheinitialincrementsizeto0.05

ii. Setthemaximumincrementsizeto0.2

d. ClickOK


7/14


10.DoubleclickontheBCsnodeinthemodeltree

a.

NametheboundaryconditionedFixedandselect

Symmetry/Antisymmetry/Encastreforthetype

b. SelecttheleftedgeandclickDone

c. SelectENCASTREfortheboundarycondition

d. ClickOK

11.DoubleclickontheAmplitudesnodeinthemodeltree

a. NametheamplitudeTriangularLoadingandselectTabular

b.

Enterthedatapointsshownbelow

i.

Abaqusmultipliestheloadmagnitudebytheamplitudedefinition,therefore0isnoloadand

1isthefullload


8/14


12.

DoubleclickontheLoadsnodeinthemodeltree

a. NametheloadandselectSurfacetractionasthetype

b.

Selectthe

right

edge

c. UnderDirection,clickonthearrowandselecttheupperrightcornerasthefirstpoint,andthe

lowerrightcornerasthesecondpoint

d. Forthemagnitude,enter5e6

e. Fortheamplitude,selecttheamplitudecreatedabove(Triangularloading)


9/14


13. InthemodeltreedoubleclickonMeshforthebeampart,andin

thetoolboxareaclickontheAssignElementTypeicon

a.

Selecttheentiregeometry

b. SelectStandardforelementtype

c. SelectQuadraticforgeometricorder

d. SelectPlanestressforfamily

e.

Notethat

the

name

of

the

element

(S4R)

and

its

description

aregivenbelowtheelementcontrols

f. SelectOK

14. InthetoolboxareaclickontheAssignMeshControlsicon

a. Selecttheportionofthegeometryassociatedwiththeboundaryconditionsandload

b. ChangetheelementshapetoQuad

c. SetthetechniquetoStructured


10/14


15. InthetoolboxareaclickontheSeedEdgesicon

a.

Selecttheleftandrightedges,clickDone

b.

SelectBynumber

c. SetBiastoNone

d. UnderSizingControlsenter8elements,ClickOK

16. InthetoolboxareaensuretheSeedEdgesiconis

stillselected

a.

Selectthetopandbottomedges

b.

SetMethod

to

By

number

and

Bias

to

Single

c. Setthenumberofelementsto50

d. Setthebiasratioto2

e.

Thebiasarrowspointtowardsthedirectionofthesmallerelements,sointhiscasetheyshouldpoint

totheleft. Iftheydont,clicktheSelectbuttonlocatedtotherightofFlipBias

f.

SelectthetopandbottomedgesandselectDone

g. Thearrowsshouldnowpointtotheleft

h. ClicktheOKbutton


11/14


17. InthetoolboxareaclickontheMeshParticon

18. InthemodeltreedoubleclickontheJobnode

a. Namethejobplastic_beam

b.

Givethejobadescription

19. InthemodeltreerightclickonthejobjustcreatedandselectSubmit

a. WhileAbaqusissolvingtheproblemrightclickonthejobsubmitted,andselectMonitor


12/14


b. IntheMonitorwindowcheckthattherearenoerrorsorwarnings

i.

Ifthereareerrors,investigatethecause(s)beforeresolving

ii.

Iftherearewarnings,determineifthewarningsarerelevant,somewarningscanbesafely

ignored

iii. Inthefarrightcolumn,notehowAbaqusadjustedtheincrement

20. Inthemodeltreerightclickonthesubmittedandsuccessfullycompletedjob,andselectResults


13/14

2012 Hormoz Za

21. Inthe

a.

b.

22.

Display

a.

23. Inthet

a.

b.

eh & Jenna Bell

enubarcli

Uncheckthe

Thelocation

Annotations

thedeforme

Inthetoolbo

i.

Plo

olboxareac

SettheDefo

ClickOK

konViewpo

Showcomp

ofviewport

Options

contourof

xareaclicko

Contourson

lickonthe

rmationScal

rtViewpor

assoption

itemscanbe

he(Von)Mi

nthefollowi

DeformedS

ommonPlot

Factorto1

13

Annotation

specifiedon

esstress

ngicons

hape

Optionsico

P

Options

thecorresp

n

ortland State Uni

ndingtabin

ersity, Mechanic

theViewpor

l Engineering

t


14/14

HiTo

the

No

to

pr

to

24.Clickon

a.

25.Tochan

a.

b.

Alterna

t: If you doolbars and a

toolbar (a c

tethatPEd

principalstr

videsthee

onMisese

thearrowso

Clickonthe

getheoutpu

Selectoneo

ClickOK

ively,youca

nt see the tctivate the

heckmark

isplaysindi

ain)compo

uivalentpl

uivalentst

nthecontex

hreesquare

tbeingdispl

theplastics

nselecttheo

oolbar, go tField outpu

ill appear n

idualplastic

ents,while

sticstrain

ess).

tbartochan

tobringup

yed,inthe

trainrelated

utputvariab

view to display

ext to it).

strain(simi

PEEQvaria

alue(simila

gethetimes

theframesel

enubarclic

outputs(PE

lefromthec

lar

le

r

tepbeingdis

ectorslider

onResults

rPEEQ)

orrespondin

played

ar

FieldOutpu

toolbar(sho

t

wnbelow).

Documents

Plasticity Tutorial Ver 611