Question

Homework Assignment #6 Problem 2, continued. Determine the following: • Develop a finite element model that includes material specification, realistic fixtures, external load(s), mesh generation, and solution. a. On the upper

half of one page, create a plot showing all fixtures and loads applied to the stem and to the cup assembly. Manually label vectors representing Fixtures to differentiate them from vectors representing External Loads. This image represents the finite element equivalent of a free-body diagram. Do not show stresses or a mesh on this plot. On the lower half of the page, provide: good reason(s) and justification for fixtures and/or external load(s) applied to the cup outer. Discuss items such as magnitude(s), direction(s), and point(s) of application. good reason(s) and justification for fixtures and/or external load(s) applied to the stem. Discuss items such as magnitude(s), direction(s), and point(s) of application. If an external load other than the person's given weight is used, provide insight into the reasoning used to determine and recommend an alternate load. b. Create a plot of von Mises stress contours displayed on a deformed image of the stem and cup assembly. Also, incorporate automatic labeling of the maximum von Mises stress. c. Create a plot showing Contact Pressure between the "ball" (located at top of the Stem) and the Cup Liner (located between the ball and Cup Outer). Enlarge contact vector size to make vectors easily visible, but in reasonable proportion to the overall image. Select a view that clearly shows the three-dimensional nature of contact pressure variation. d. Question: Based on your understanding of fatigue in metals, does the maximum von Mises stress determined in part (b) place this Stem and Cup Assembly in danger of fatigue failure (again refer back to Norton Chapter 6 as needed)? Discuss practical reasons for your answer in terms of stress repetitions expected for the assembly. Also discuss the engineering reasons for your answer. Consider topics such as stress magnitude, type of stress (tensile versus compressive), and material characteristics of the general class of titanium steels./nProblem 2. This problem is based on Lecture 24 (L24) where the prosthesis geometry was created, and the simulation was started. Please refer back to that lecture as needed to complete this homework. Part D also ties back to Norton Chapter 6 on Fatigue Failure Theories - so please read that chapter in preparation. Many of the dimensions are also listed in the L24 Notes. The goal here is to explore the many modeling and design decisions that need to be made in realistic applications. Cup Outer Cup Liner Lip Stem Material: • Cup Liner- Locate under Plastics,then choose PA Type6 • Stem - Locate under Titanium Alloys then choose Commercially Pure CP-TI UNS R50700 Grade4(SS) Cup Outer - Same material as Stem Mesh: Use system default size Curvature based mesh, tetrahedral elements. Fixture: • To be specified by the user based on experience gained in previous exercises and an understanding of the hip replacement process described above. • Carefully consider how and where restraints are applied to the model relative to how and where external loads are applied. External Load: • Person's weight =145 lb. You may decide to use a different external load. If so, include the reason for your decision in part(a)of the exercise listed below.

Fig: 1

Fig: 2