Highlights
Question 1
An object under loading undergoes deformation such that its displacement field (with the unit in meter) can be defined as:
a. Determine the strain tensor at point P (1, 0, -1).
b. If the object is made of material with E = 70 GPa and n = 0.3, determine the stress components at point P (1, 0, -1) based on linear elastic deformation.
c. If the yield strength of the material is 200 MPa, is the material safe under the von Mises criterion?
Question 2
Consider the two planar structures (A) and (B) in Figure 1 below:
a. Referring to the truss structure in (A), explain why you cannot perform a finite element analysis successfully on this structure and suggest how you can overcome the problem.
b. Give the name of the linear truss element in Abaqus.
c. Can you perform a mesh convergence study based on h-convergence using truss elements? Explain you answer.
d. Referring to the structure in (B), explain why you cannot perform a finite element analysis on this structure using truss elements. Suggest an alternative element in Abaqus that can be used for the finite element analysis.
Question 3
You are asked to perform an FE analysis to find the maximum von Mises stress in the problem illustrated in Figure 2 below. The thickness of the plate t is significantly smaller than the width and length. Uniform tensile stresses are applied at the two ends of the plate.
a. Explain how you can simplify the model in Figure 2 when performing a finite element analysis. Explain the assumptions that allow you to simplify the problem.
b. Sketch the resulting simplified model in part (a) along with the boundary conditions and the loading that you will apply.
c. Based on your answers in parts (a) and (b), what type of element in Abaqus can you use to carry out your FE analysis?
d. Describe the proper way to carry out a mesh convergence study of the problem above. Explain how and where local mesh refinement will be carried out.
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