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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II

    Todays Lecturer: Johan ClausenDepartment of Civil Engineering

    Email: [email protected]

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 2

    Finite Element Analysis II

    Lectures: Jesper Winther Strdahl and Johan Clausen

    The finite element method for structural and solid mechanics

    Derivation for stiffness matrices for different elements

    Programming of beam and membrane elements (skiveelementer in Danish)

    (Re-?) introduction to Abaqus: Meshing and modelling techniques

    As usual course information can be found on

    \\files.civil.aau.dk\i5jcc\public_html\7sem_finite_element\Finite_element_v2.htm. The

    webpage is currently under revision. An e-mail will be sent to you in the event of a

    change to the webpage that affects the downloadable items (slides, programs) or the

    information regarding the material you have to read before each lecture.

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 3

    Todays lecture: Abaqus, meshing and other things

    Modelling of a simple structure in Abaqus

    Meshing

    Element types

    The meshs significance on the stress field

    How to model plasticity and other non-linear phenomena

    3D meshing

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 4

    Abaqus

    A general purpose commercial finite element code

    Can model many types of problems linear and non-linear

    Structural, heat, flow, conduction, magnetism, dynamic....

    The users own materials, elements, etc. can be programmed into Abaqus

    Conclusion: VERY versatile and market leader in advanced FE-analysis (mostly in academia)

    Drawback 1: Somewhat harder to learn to use compared to other commercial FE-programs

    Drawback 2: Commercial licenses are very expensive (Cowi has one license in Denmark)

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 5

    Plane element types

    Rods and beams (Danish: stnger og bjlker)

    Triangular and quadrilateral membrane elements (Danish: skiveelementer)

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 6

    Three-dimensional element types

    Three-dimensional rods and beams

    Plate elements

    Combined plate and membrane element

    Three-dimensional solid (tetrahedral, hexahedral, wedge)

    And many more...

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 7

    Modelling a simple plane structure with membrane elements

    The material is steel with E= 0.21 106 MPa and = 0.3

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 8

    Modelling a simple plane structure with membrane elements Step 1

    Start Abaqus and click Create Model Database

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 9

    Modelling a simple plane structure with membrane elements Step 2

    Double click Part and fill out the dialogue box Click continue when the box is filled out

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 10

    Modelling a simple plane structure with membrane elements Step 3

    Click the Create lines connected button The lines can be drawn by mouse clicks or

    by typing in the coordinates as shown

    Sketch the part by typing the coordinates

    given in slide 7

    The window can be adapted to the object

    any time by clicking Auto Fit View.

    When finished click the Create lines

    connected button again and click done-

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 11

    Modelling a simple plane structure with membrane elements Step 4

    The part SteelThing can be seen in the modeltree by clicking the expansion +

    The options under SteelThing can be seen by

    expanding the model tree

    Go into the mesh-mode by double-clicking

    mesh (Empty)

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 12

    Modelling a simple plane structure with membrane elements Step 5

    The Mesh menu buttons (only some are explained)

    Mesh seeds: Specification of

    mesh nodes on the boundaries. Is

    used to control mesh density.

    Mesh controls. Controls the

    mathematical algorithm used

    to divide the structure into

    triangles and quadrilaterals

    Create an element mesh

    Specify the element type. For example:

    Structural or heat conduction.

    Linear or 2nd degree shape functions.

    Integration point rule (Gauss order)

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 13

    Modelling a simple plane structure with membrane elements Step 6

    Open the menu in the seed button by pressing the lower right corner of the button

    The different buttons are:

    1. Seed part: Used for seeding the entire part

    2. Seed Edge by Number: Give the number of elements

    on a specific edge

    3. Seed Edge by Size: Set the element size on an edge

    4. Seed Edge biased: The distance between the nodes

    change over the edge

    5. The last two buttons are for deleting seeds

    1 2 3 4 5

    Click Seed Edge by Number (2)

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 14

    Modelling a simple plane structure with membrane elements Step 7

    Select the edges and set the appropriate number as shown 2 elements

    2 elements

    1 element

    Type the number here

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 15

    Modelling a simple plane structure with membrane elements Step 8

    Press assign mesh controls Select the options as shown in the dialogue box

    Click ok

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 16

    Modelling a simple plane structure with membrane elements Step 9

    Press Assign element type Select the options as shown in the

    dialogue box. Remenber to untick the

    Reduced integration check box

    Press OK

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 17

    Modelling a simple plane structure with membrane elements Step 10

    Press Mesh Part Press yes under the drawing area

    You should now see the depicted

    mesh

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 18

    Modelling a simple plane structure with membrane elements Step 11

    Double click on the Materials flag in themodel tree

    Enter the name Steel in the Name field

    Under Mechanical, select Elasticity and

    Elastic

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 19

    Modelling a simple plane structure with membrane elements Step 12

    Fill in the properties fields and press ok

    Important: Abaqus does not check units

    in any way! As the dimensions of our model

    was entered in mm the all stress terms (e.g.

    Eand loads) must be entered in MPa to be

    dimensionally consistent.

    If we had entered the dimensions in m

    the stress terms should have been in Pa.

    If in doubt, always use the basic SI-units,

    then you never go wrong. (i.e. length in m,

    force in N, stress in Pa, and so on)

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 20

    Modelling a simple plane structure with membrane elements Step 13

    Double click the Sections flag in the model tree Type in the name in the dialogue box

    Select settings as shown and press continue

    In the Edit Section dialogue select steel as the

    material and press OK

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 21

    Modelling a simple plane structure with membrane elements Step 14

    Double click the Sections Assignment flag in the model tree (in the SteelThing expanded menu) Select the part in the drawing window and click Done

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 22

    Modelling a simple plane structure with membrane elements Step 15

    Assign the SteelSection and click ok

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 23

    Modelling a simple plane structure with membrane elements Step 16

    Expand the Assembly flag in the model tree and double click in Instances

    Select the SteelThing part and click ok

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 24

    Modelling a simple plane structure with membrane elements Step 17

    Expand the Steps flag in the model tree. You can now see that there is only one step defined, Initial

    Double click on Steps

    Fill in the dialogue box as shown

    Click continue

    You have now created the step in which the load is

    applied. The initial step is always present and is always the

    first step.

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 25

    Modelling a simple plane structure with membrane elements Step 18

    Fill in the dialogue box as shown and press OK

    If, later on, you are going to

    include large displacements in youcalculations, this is where you do

    it, by setting Nlgeom to on

    Also, if you are to perform non-

    linear analyses you should enter

    the Incrementation flag and

    change the settings found here

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 26

    Modelling a simple plane structure with membrane elements Step 19

    Double click on the Loads flag in the model tree

    Fill in the dialogue box as shown and press Continue.

    Note that we select a Pressure load and not a

    line load. The line load is used for beam

    elements

    Note that the load is applied in the LoadStep

    step and not in the Inititial step.

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 27

    Modelling a simple plane structure with membrane elements Step 20

    Select the top edge of the structure and

    press Done

    Fill in the dialogue box as shown and

    press OK

    Note that pressure is given as a

    negative number. This is due to the fact

    that a positive pressure always acts

    towardsthe surface on which it is applied.

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 28

    Modelling a simple plane structure with membrane elements Step 21

    An array of arrows representing the pressure

    load can now be seen

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 29

    Modelling a simple plane structure with membrane elements Step 22

    Double click on the BC flag on the model tree

    (BC is an abreviation of Boundary Conditions)

    Select Displacement/Rotation and fill in the

    dialogue box as shown.

    Click Continue.

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 30

    Modelling a simple plane structure with membrane elements Step 23

    Select the lower edge and press Done

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 31

    Modelling a simple plane structure with membrane elements Step 24

    As the edge is free to move in the horizontal (x)

    direction but supported in the vertical (y) directon

    only tick the box U2

    Press OK

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 32

    Modelling a simple plane structure with membrane elements Step 25

    Expand the BCs flag. the Vertical support condition should now be visible

    Double click on the BCs flag once more to

    create the horizontal support

    Fill in the dialogue box as shown and press

    Continue.

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 33

    Modelling a simple plane structure with membrane elements Step 26

    Select the lower left corner of the structure and press Done

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 34

    Modelling a simple plane structure with membrane elements Step 27

    Constrain the corner in the horizontal direction and press OK

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 35

    Modelling a simple plane structure with membrane elements Step 28

    Double click on the Jobs flag to create a calculation job Fill in the dialogue box as shown

    Click Continue

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 36

    Modelling a simple plane structure with membrane elements Step 29

    If you like you can fill in a description Then click OK

    By expanding the Job flag you

    should now see your job

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 37

    Modelling a simple plane structure with membrane elements Step 30

    To submit a job for calculation right click on the job name Choose Submit

    If a dialogue box appears, click OK

    Your job is now being calculated

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 38

    Modelling a simple plane structure with membrane elements Step 31

    You can now see that your job is running To monitor you job while running right click on the job name and select Monitor

    A dialogue box appears where you can monitor your job.

    You can close the box by pressing Dismiss

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 39

    Modelling a simple plane structure with membrane elements Step 32

    To go to the post-processing unit to see the results right click on the job name Select Results

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 40

    Modelling a simple plane structure with membrane elements Step 33

    Press the Plot contours on deformed shape button

    This will show the von Mises Stress contours on

    the deformed structure.

    To view other stresses select the field Output

    option in the main tool bar. Here you can select the

    result that you want to plot.

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 41

    Modelling a simple plane structure with membrane elements Step 34

    To find out the node number and itsdisplacement click the Tool- drop down

    menu

    Select Query

    In the Query dialogue box select

    Node

    Click on the node on the inside corner(denoted A on slide 7)

    You can now see the node number and

    the nodal displacement

    Note the node number

    Repeat with node B on slide 7 and

    note the displacement. You will need it for

    comparison later.

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 42

    Modelling a simple plane structure with membrane elements Step 35

    To find out the exact stress value of a point select Query in menu Tools

    Select Probe values in the dialogue box

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 43

    Modelling a simple plane structure with membrane elements Step 35

    Tick the boxes as shown and move the cursor to where you want to see the von Mises stress

    Note the values of the

    stress at point A from slide

    no. 7 (the indside corner).

    You will need this value later

    in the lecture.

    Here you need the node

    number that you noted

    earlier, in order to know

    which of the displayed

    stress values belongs to the

    corner node.

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 44

    Different meshing techniques

    Demonstrated by lecturer

    Exercise: Try to mesh the structure with different mesh techniques and different elements

    (triangular, quadrilateral, linear shape functions, 2nd degree shape functions). For each mesh note

    the von Mises stress of point A and the displacement of point B. Do they differ in each case?

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 45

    Non-linear analyses

    von Mises plasticity

    Large displacements

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 46

    Analysis of a shell structure

    The load is a uniform pressure load The holes are centrally placed circles with a radius of 10 mm

    The shell thickness is 2 mm

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    Lecture 1: Abaqus, meshing and other things

    Finite Element Analysis II 47

    Use of symmetry

    We make use of symmetry to reduce the number of elements

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    Lecture 1: Abaqus, meshing and other things

    Thank you for your attention