Fracture Mechanics Practical File

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    FRACTURE

    MECHANICS

    PRACTICAL FILEVIII SEM Design Stream

    SUBMITTED BY:-

    VINEETA

    (2K8/ME/318)

    D2 -Group

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    INDEX

    S No. Exercise Title

    1Analysis of a basic 2-D problem using ABAQUS

    2 Analysis of a centre cracked plate specimen

    under tensile loading using Quarter plate

    modelling technique

    3 Analysis of a inclined cracked plate specimenunder tensile loading

    4 Analysis of a 3-point bending specimen having

    an edge crack

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    Exercise-1

    Objective: - Analysis of a basic 2-D problem using ABAQUS

    Solution Description:-

    This exercise discusses the basic steps involved in carrying out a Static Analysis

    using the ABAQUS software. This forms the basis for the rest of the exercises since,

    the basic steps remain the same even in case of analysis of cracks.

    For the sake of simplicity, a 2-D cantilever beam subjected to point load at its free

    end is being considered.

    The entire process of modelling this problem can be broadly divided into the

    following steps:-

    1.) Geometry Creation

    2.) Material creation3.) Section creation

    4.) Section Assignment

    5.) Assembly

    6.) Mesh creation

    7.) Step creation

    8.) Load creation

    9.) Boundary Condition creation10.) Job Creation & Submission

    Each of these steps is explained below in complete detail.

    1.) Geometry Creation

    OpenAbaqus cae, create a new file.

    In the Module drop down list select Part.

    Go to create part option, the create part Dialog box appears. Select as shownin Fig-1.

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    On clicking Continue, the sketcher screen appears. Make the sketch,

    dimension it and then press Done.

    The Geometry appears as shown in Fig -2

    Fig.- 1 Create Part Dialog Box

    Fig.-2 The geometry of the problem

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    2.) Material creation

    In the Module drop down list select Property.

    Go to create material option, the edit material Dialog box appears as shown in

    Fig-3. Go to Mechanical >Elasticity > Elastic

    Now enter the values as shown in Fig- 3 and click OK

    Fig.- 3 The Edit Material Dialog Box

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    3.) Section creation

    In the Module drop down list select Property.

    Go to create Section option, the Create Section Dialog box appears as shown in

    Fig-4. Now enter the values as shown in Fig- 4 and click Continue

    The Edit Section Dialog box appears as shown in Fig-5. Enter the values and

    click Ok.

    Fig.-4 The Create Section Dialog box Fig.- 5 Edit Section Dialog box

    4.) Section Assignment

    In the Module drop down list select Property.

    Go to Assign Section option, select the region to assign section and press Done.

    The Edit Section Assignment Dialog box appears as shown in Fig -6.

    Now enter the values as shown in Fig- 6 and click OK

    Fig.-6 The Edit Section Assignment Dialog box

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    5.) Assembly creation

    In the Module drop down list select Assembly.

    Go to Instance Part option, the Create Instance Dialog box appears as shown in

    Fig-7. Now enter the values as shown in Fig- 7 and click OK.

    Fig.- 7 The Create Instance Dialog box

    6.) Mesh creation

    In the Module drop down list select Mesh.

    Go to Seed Part Instance option, the Global Seeds Dialog box appears as shown

    in Fig-8.

    Now enter the values as shown in Fig- 8 and click OK and then press Done. The Edit Section Dialog box appears as shown in Fig-5. Enter the values and

    click Ok.

    Go to Assign Mesh Control option, the Mesh Control Dialog box appears as

    shown in Fig-9.

    Now enter the values as shown in Fig- 9 and click OK.

    Go to Assign Element Type option, the Element Type Dialog box appears as

    shown in Fig-10.

    Now enter the values as shown in Fig- 10 and press enter.

    Go to Mesh Part Instance option and press YES.

    The mesh appears as in Fig.-11

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    Fig.- 8 Global Seeding Fig.-9 Mesh Control assignment

    Fig.- 10 Element Type assignment

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    Fig.- 11 The Mesh for the geometry

    7.) Step creation

    In the Module drop down list select Step.

    Go to Create Step option, the Create Step Dialog box appears as shown in Fig-

    13.

    Now enter the values as shown in Fig- 13 and click Continue.

    The Edit Step Dialog Box appears as shown in Fig- 14.

    Now enter the values as shown in Fig- 14 and click OK.

    Fig.-13 The Create Step Dialog Box

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    Fig.- 14 The Edit Step Dialog Box

    8.) Load creation

    In the Module drop down list select Loads.

    Go to Create Loads option, the Create Load Dialog box appears as shown in Fig-15.

    Now enter the values as shown in Fig- 15 and click Continue.

    Now select the points for load application as shown in Fig- 16 and select Done.

    The Edit Load Dialog Box appears as shown in Fig.-17

    Now enter the values as shown in Fig- 17 and click OK.

    Fig.-16 Selecting Points for load application

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    Fig.- 15 The Create Load Dialog box Fig.- 17 The Edit Load Dialog box

    9.) Boundary Condition creation

    In the Module drop down list select Loads.

    Go to Create Boundary Condition option, the Create Boundary Condition Dialog box

    appears as shown in Fig-18.

    Now enter the values as shown in Fig- 18 and click Continue.

    Now select the points for Boundary condition application as shown in Fig- 19 and

    select Done.

    The Edit Boundary Condition Dialog Box appears as shown in Fig.-20

    Now enter the values as shown in Fig- 20 and click OK.

    Fig.-19 Selecting the Geometry for Boundary conditions.

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    Fig.-18 Create Boundary Condition Dialog box Fig.-20 Edit Boundary Condition Dialog box

    10.) Job Creation & Submission

    In the Module drop down list select Job.

    Go to Create Boundary Condition option, the Job Manager Dialog box appears.

    Select Create option, then Continue, then OK.

    Now go for DATA check and then submit your job.

    Post processing & viewing the Results

    The contours for the Von-Mises stress and the Deformation are as given in Fig.-21

    and Fig.-22 respectively.

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    Fig. - 21 Von-Mises Stress Contour for the given loading condition

    Fig.- 22 Deformation Contour for the given loading condition

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    Exercise-2

    Objective: - Analysis of a centre cracked plate specimen under tensile loading

    using Quarter plate modelling technique.

    Solution Description:-

    This exercise discusses the steps involved in carrying out the Static Analysis of a

    centre cracked plate specimen subjected to tensile loading. The actual geometry of

    the test specimen along with the dimensions is as given in Fig.-1.

    In order to simplify the solution process, only one-fourth of the plate is modelled with

    the appropriate boundary conditions.

    Fig. -1 Actual Geometry of the problem

    The entire process of modelling this problem can be broadly divided into the

    following steps:-

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    1.) Geometry Creation

    2.) Material creation [E=207 GPa, =0.3]

    3.) Section creation

    4.) Section Assignment

    5.) Assembly

    6.) Crack Definition

    7.) Mesh creation

    8.) Step creation

    9.) Load creation

    10.) Boundary Condition creation

    11.) History Output request

    12.) Job Creation & Submission

    13.) Post-processing

    The Quarter plate geometry along with the load & boundary conditions is as shown

    in Fig.-2

    Here, yy = 100 Mpa

    Fig.-2 Loads & Boundary Conditions.

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    Fig.- Comparing the undeformed & deformed meshes of the quarter plate model.

    Results & Discussion

    Average value of KIfrom contours 2 to 6 is 747.531

    Also, KI=

    ( )

    ( )

    Here, a= 10 mm & W=20 mm

    Thus, KI =

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    Exercise-3

    Objective: - Analysis of a inclined cracked plate specimen under tensile loading.

    Solution Description:-

    This exercise discusses the steps involved in carrying out the Static Analysis of a

    plate specimen having inclined crack and subjected to tensile loading. The actual

    geometry of the test specimen along with the dimensions is as given in Fig.-1.

    100

    100

    10

    45

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    Scale factor is +4.449e+02

    Results & Discussion

    For Crack-1

    K1 = 104.311

    K2= 105.397

    For Crack-2

    K1= 100.662

    K2= 99.9276

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    Exercise-4

    Objective: -Analysis of a 3-point bending specimen has an edge crack.

    Solution Description:-

    This exercise discusses the steps involved in carrying out the Static Analysis of a

    plate specimen having edge crack of a three point bending. The actual geometry of

    the test specimen along with the dimensions is as given in Fig.-1.

    10

    2

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    Scale factor is +3.923e+2

    Results & Discussion

    Average value of KIfrom contours 3 to 5 is 158.91

    Average value of K2 from contours 3 to 5 is 0.00657627