# Analysis of Rectangular Plate Subject to Uniaxial Loading

### PROBLEM DESCRIPTION

Figure 1 shows a rectangular plate is subjected to an uniaxial load. #### Figure 1: A Rectangular Plate Subjected to An Uniaxial Load

The initial load is Po = 1E+4*L*t. The total load is P = Factor*Po. The integration points in the surface are 2x2 points and in the thickness are points. Two cases are examined for the isotropic strain hardening model. The Young's modulus is E = 1E+7 and the yield stress is 1E+4 psi, Possion ratio is 0.3.

### Case 1:

The first case is for the bi-linear stress strain curve. The tangent modulus Et = 0.5 E. The load factors for the first case is Factor = [1.5, 2, 1.255, 0.01, -1.255, -2.5, -3.0, -3.5, -4.0, -2.0, -1.0,0]. The calculated the load vs. displacement in load direction is shown in Figure 2. ### Case 2:

The second case is for the Ramberg-Osgood stress-strain model. The strain hardening exponent, n, and the coefficient, alpha, of the Ramberg-Osgood model are : 4 and 3/7, respectively. The load factor is given as: Factor = [1.0, 1.5, 2, 1.255, 0.01, -1.255]. Between every load factor and next load factors, the load steps are subdivided into eleven sub-steps. And the load load steps are stopped at No. 63. The load steps are shown at Figure 3, and the results is shown by Figure 4. #### Figure 3: Load Steps for Case 2 #### Figure 4: Load displacement Curve of a Rectangular Plate under Unixaxial Load, Case 2: Ramberg_Osgood Load Curve, Isotropic Hardening

Developed in April 1996 by Xiaoguang Chen