Trabalhos

Abaqus/CAE (ver. 6.10) Material Nonlinearity Tutorial
Problem Description
A rectangular steel cantilevered beam has a downward load applied to the one end. The load is expected to produce plastic deformation. An experimentally determined stress strain curve was supplied for the steel material. We will investigate the magnitude and depth of plastic strain.

©2011 Hormoz Zareh

1

Portland State University, Mechanical Engineering

Analysis Steps
1. Start Abaqus and choose to create a new model database 2. In the model tree double click on the “Parts” node (or right click on “parts” and select Create)

3. In the Create Part dialog box (shown above) name the part and a. Select “2D Planar” b. Select “Deformable” c. Select “Shell” d. Set approximate size = 200 e. Click “Continue…” 4. Create the geometry shown below (not discussed here)

©2011 Hormoz Zareh

2

Portland State University, Mechanical Engineering

5. Double click on the “Materials” node in the model tree

a. Name the new material and give it a description b. The stress strain data, shown below, was measured for the material used i. This data is based on the nominal (engineering) stress and strain

Nominal Stress (Pa) Nominal Strain 0.00E+00 0.00E+00 2.00E+08 9.50E-04 2.40E+08 2.50E-02 2.80E+08 5.00E-02 3.40E+08 1.00E-01 3.80E+08 1.50E-01 4.00E+08 2.00E-01
4.00E+08 Nominal Stress (Pa) 3.00E+08 2.00E+08 1.00E+08 0.00E+00 -5.00E-16 2.50E-02 5.00E-02 7.50E-02 1.00E-01 1.25E-01 Nominal Strain 1.50E-01 1.75E-01 2.00E-01

ii. Abaqus expects the stress strain data to be entered as true stress and true plastic strain 1. In addition the modulus of elasticity must correspond to the slope defined by the first point (the yield point) iii. To convert the nominal stress to true stress, use the following equation 1. = (1 + ) iv. To convert the nominal strain to true strain, use the following equation 1. = (1 + ) v. To calculate the modulus of elasticity, divide the first nonzero true stress by