Finite elements method assignment

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ENGR7961FiniteElementMethods-AssessmentI-Report1.docx

ENGR7961 Finite Element Methods

Assessment I - Report

Semester 1 201

Topic Coordinators: Dr Rami Al-Dirini

Due Date: 22nd of April 2021

Part 1: Simulating dog-bone tensile testing (10%)

As an FE engineer designing a product that uses rubber, you need to ensure that you have accurate data on the material properties. Therefore, you are provided with standard uniaxial tensile set testing (ASTM D412) data for Neoprene rubber (attached)

Task: Using the data provided in the attached excel sheet (Neoprene_tensile_data.xlsx) and the dimensions on Figure 1, you are required to develop an FE model for this experiment in order to calibrate your material properties. Use the template provided to report your FE process and results.

You are expected to explore the use of different elements and element order (linear or quadrilateral) while developing your model

Figure 1: dog-bone sample dimensions and coordinate system

70 mm

50 mm

16 mm

8 mm

5 mm

Part 2: Testing design robustness for a steel clamp.

You are part of an engineering team designing a steel clamp that supports 3-dimensional tensile loads. Given that the clamp will be supported by 2 bolts (as shown in Figure 2), as an FE engineer, you are required to assess the robustness of the design under the expected loads:

Loads: simulate a force with the following components:

Fx = -5 x 105 N

Fy = 0 N

Fz = 5 x 105 N

Bolt

Bolt

Figure 2: Clamp with bolt locations shown

Figure 3: side view of the clamp with coordinate system showing the x (red) and z (blue) axes.

Task:

Using the attached CAD file (CAD_Fitting.igs) and the information above, you are required to develop an FE model assess the robustness of this design to the expected loads. You may consider the concept of safety factor and the fact that the yield stress for this type of structural steel is 360 MPa.

You are expected to explore the use of different elements and element order (linear or quadrilateral) while developing your model.

Tips

Importing CAD geometry files:

Right click on “Geometry” in the Static Structural module, then select “Import Geometry” to locate the CAD file (CAD_Fitting.igs). Once you have selected your file, double click on the “Geometry” to load the file. This will open a new window with SpaceClaim.

Once the model shows on your screen, close the screen and return to ANSYS Workbench.

Defining Mesh Element Type, Size and Order:

Controlling element type:

Right click on the “Mesh” in the model tree and select “Insert” > “Method”

You can select the appropriate “Method” and “Element Order” in the “Details” panel on the left of the screen.

Notes:

Use “Tetrahedrons” to generate a mesh with tetrahedral elements and “Cartesian” to generate a mesh with hexahedral elements. [footnoteRef:1] [1: Alternatively, you can use “Hex Dominant” method, however, this tends to fail for some geometries. ]

Controlling element size:

Right click on the “Mesh” in the model tree and select “Insert” > “Sizing”

You can select the appropriate element size in the “Details” panel on the left of the screen.

Analysis settings: use default settings, ensuring that “large deflection” is “Off”.

Boundary conditions: the model should simulate a condition representative of the clamp being fixed by two bolts as below:

Use this template for the Cover Page of Your Report:

Flinders University

College of Science & Engineering

Assessment I - Report

As part of the topic

ENGR7961 Finite Element Methods

Report Prepared by:

Enter your name here

Student ID number: XXXXXXX

“I declare that this report only presents my independent work”

Your Signature Here

Submission Date: Enter date here

Part 1: Simulating dog-bone tensile testing (10%)

Modelling Assumptions (you can add more rows as needed)

Assumption

Justification

Material Properties

Young’s Modulus (MPa)*

Poison’s ratio

* Use the data from Neoprene_tensile_data.xlsx to calculate Young’s Modulus

CAD model annotated with loads and boundary conditions

Mesh convergence (you can add more rows as needed)

Element type

Element order

Number of elements

Number of nodes

Maximum deformation (mm)

Maximum stress (MPa)

Tri

Linear

Tri

Quad

Quad

Linear

Quad

Quad

Mesh Convergence Plots for All Elements

FE Results

Details for converged model

Element type

Element Order

Number of elements

Number of nodes

Results

Maximum deformation in x-direction (mm)

Maximum deformation in y-direction (mm)

Maximum principal stress (MPa)

Maximum principal strains (mm/mm)

Plot for deformation field in y-direction (mm) – include scale/colour bar!

Plot for deformation field in y-direction (mm) – include scale/colour bar!

Plot for equivalent stress field (MPa) – include scale/colour bar!

Plot for equivalent strain field (mm/mm) – include scale/colour bar!

Validation - Comparison with experimental Data

Plot FE vs Experimental displacements

Plot FE vs Experimental Principal Stresses

Based on the above plots, comment on the validity of your model (i.e, will you be confident in using this model for simulating the final product design)

Discuss the limitations of your model for Neoprene rubber

Part 2: Testing design robustness for a steel clamp (15%)

Modelling Assumptions (you can add more rows as needed)

Assumption

Justification

Material Properties

Young’s Modulus (MPa)

Poison’s ratio

CAD model annotated with loads and boundary conditions

Mesh convergence (you can add more rows as needed)

Element type

Element order

Number of elements

Number of nodes

Maximum deformation (mm)

Maximum stress (MPa)

Tetrahedral

Linear

Tetrahedral

Quad

Hexahedral

Linear

Hexahedral

Quad

Mesh Convergence Plots for All Elements

FE Results

Details for converged model

Element type

Element Order

Number of elements

Number of nodes

Results

Maximum deformation in x-direction (mm)

Maximum deformation in y-direction (mm)

Maximum principal stress (MPa)

Maximum principal strains (mm/mm)

Plot for deformation field in y-direction (mm) – include scale/colour bar!

Plot for deformation field in y-direction (mm) – include scale/colour bar!

Plot for equivalent stress field (MPa) – include scale/colour bar!

Plot for equivalent strain field (mm/mm) – include scale/colour bar!

Based on the above plots, comment on the robustness of the designed clamp under the expected loads

Discuss the limitations of your model.