# Simulation Quiz 3

### Hyperelastic Indentation Analysis

Hyperelasticity is a constitutive model used to represent rubber and other elastomeric materials that can undergo large elastic strains.  In this simulation exercise, a steel piece (“Indenter”) is used to determine the amount of force necessary to push the piece 2 mm into an elastomeric disc (“Elastomeric Sample”).

Follow instructions to set up the simulation and get results BEFORE starting the quiz. Download the instructions and necessary simulation files from here.

Note: The Expected Completion Time for this quiz is 20 mins but, the Maximum Available Time to complete the quiz is 45 mins.

#### Total Number of Questions - 15

Times up!

Methods of Solving Problems in Structural Mechanics - Simulation Quiz 3

Complete the simulation and have all the results ready BEFORE starting the quiz.

Once you have finished the exam, click on the 'Mark Complete' button to save your progress and move to the next section.

1 / 15

Consider the situation where the "Indenter” is pushed into the elastomer 0.8 mm (instead of 2 mm) while everything else remains the same. (Do not set up and solve such a simulation.) What is the maximum equivalent stress in the Elastomeric Sample when the Indenter is pushed 0.8 mm? Review all options below and select the best option that is closest to the correct answer.

2 / 15

Intermediate results are available in this simulation. If you review results at “Display Time: 0.6 s”, what does this represent? Review all options below and select the best option that is correct.

3 / 15

Consider the case where the "Structural Steel” linear elastic material has a Young’s modulus that is twice its current value, and everything else remains the same. (Do not set up and solve such a simulation.) Review all options below and select the best option that is correct.

4 / 15

The material incompressibility parameter of the “Elastomer Sample” hyperelastic material is 0 $MPa^{-1}$. What does this signify? Review all options and select the best answer.

5 / 15

In Engineering Data, review the test data used for curve-fitting of the “Elastomer Sample”. Then, review all options and select 2 correct statements below:

6 / 15

In Engineering Data, compare the “Structural Steel” and “Elastomer Sample (Reference)” material properties. How many times larger is the shear modulus of Steel compared with the initial shear modulus of the elastomer sample? Select the option that is closest to the correct answer.

7 / 15

Review the reaction force at the end of the simulation. What is the magnitude of force in the Y-direction that is required to push the steel indenter 2 mm into the elastomeric sample? Select the option that is closest to the correct answer.

8 / 15

What is the initial shear modulus of the “Elastomer Sample” hyperelastic material? Select the option that is closest to the correct answer. (Hint: review information in Engineering Data.)

9 / 15

What is the maximum equivalent stress in the elastomeric sample at the end of the simulation? Select the option that is closest to the correct answer.

10 / 15

What is the reaction force in the X-direction for the Displacement support along the centerline? The centerline (the center edge that is constrained with a Displacement Support in the X-direction) is highlighted in the figure below:

Select the option that is closest to the correct answer.

11 / 15

Consider the situation where the "Indenter” is pushed into the elastomer 4 mm (instead of 2 mm) while everything else remains the same. (Do not set up and solve such a simulation.) How much force in the Y-direction is required to push the Indenter 4 mm into the Elastomeric Sample? Review all options below and select the best option that is a correct statement.

12 / 15

As the indenter is pushed into the elastomer, some of the elastomer material is pushed out radially. What is the maximum deformation in the X-direction at the end of the simulation? Select the option that is closest to the correct answer.

13 / 15

What is the maximum equivalent elastic strain in the elastomeric sample at the end of the simulation? Select the option that is closest to the correct answer.

14 / 15

Consider the situation where the "Indenter” is pushed into the elastomer 0.4 mm (instead of 2 mm) while everything else remains the same. (Do not set up and solve such a simulation.) How much force in the Y-direction is required to push the Indenter 0.4 mm into the Elastomeric Sample? Review all options below and select the best option that is closest to the correct answer.

15 / 15

Consider the case where the "Elastomer Sample” hyperelastic material has an initial shear modulus that is twice its current value, and everything else remains the same. (Do not set up and solve such a simulation.) Review all options below and select the best option that is correct.