Consider plates with circular, elliptical, and rectangular holes at the center (as shown in
figures on next page), subjected to tensile stresses. The material to be used has a modulus
of elasticity E = 70 GPa, Poisson’s ratio ? = 0.3. Use ABAQUS to analyze the plane
stress problem.
(a) Use a full plate model (for the three cases), with 3 node triangular elements. Take
plate thickness 0.02 m. Plot the deformed shape and von-Mises stress distribution.
(b) Use a symmetric quarter plate model (for the three cases), with 3 node triangular
elements. Plot the deformed shape and von-Mises stress distribution.
(c) Compare and tabulate the maximum displacements and the maximum von-Mises
stresses for cases (a) and (b). Perform the convergence study using at least three
different element sizes (coarse to fine). For your verification, calculate the ratio of
maximum stress obtained to nominal stress and compare it with theoretical stress
concentration factor from the handbook (or literature). Include this in your table.
Document Preview: Due Date: April 11, 2013
COMPUTER PROJECT # 2
ME/AE 408 Advanced Finite Element Analysis
Consider plates with circular, elliptical, and rectangular holes at the center (as shown in
figures on next page), subjected to tensile stresses. The material to be used has a modulus
of elasticity E = 70 GPa, Poisson’s ratio ? = 0.3. Use ABAQUS to analyze the plane
stress problem.
(a) Use a full plate model (for the three cases), with 3 node triangular elements. Take
plate thickness 0.02 m. Plot the deformed shape and von-Mises stress distribution.
(b) Use a symmetric quarter plate model (for the three cases), with 3 node triangular
elements. Plot the deformed shape and von-Mises stress distribution.
(c) Compare and tabulate the maximum displacements and the maximum von-Mises
stresses for cases (a) and (b). Perform the convergence study using at least three
different element sizes (coarse to fine). For your verification, calculate the ratio of
maximum stress obtained to nominal stress and compare it with theoretical stress
concentration factor from the handbook (or literature). Include this in your table.
Note:
? In ABAQUS, the shell edge load is defined as force per unit length.
? If you are using a student version of ABAQUS, the number of elements is limited to
1000. Accordingly, use appropriate number of elements and perform the convergence
study.
The report should include the following:
1. Cover page (Title, name, etc.)
2. Statement of the problem
3. Procedure/Related equations
4. Summary of results with units and discussion of results
5. Sample output
The report should not exceed 20 pages.y
3 2
XXXXXXXXXXm
x
25x 10 N/m 25 x 10 N/m
0.1 m
1.0 m
(a) Plate with a circular hole
1.0 m 3 2
3 2
0.1 m
25x 10 N/m 25 x 10 N/m
0.2 m
1.0 m
(b) Plate with an elliptical hole
r=0.02 m
1.0 m 3 2
3 2
0.1 m
25 x 10 N/m
25x 10 N/m
0.2 m
1.0 m
(c) Plate with a rectangular hole