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Analysis of Rectangular Plate Subject to Uniaxial Loading

[ Problem Description ]
[ Finite Element Model ]

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.

#### Figure 2: Hysteresis Loop of a Rectangular Plate under
Unixaxial Load, Case 1: Bi-Linear Load Curve,Isotropic
Hardening

### 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**

**Last Modified April 17, 1996 **

**Copyright © 1996, Xiaoguang Chen and Mark Austin,
Department of Civil Engineering,
University of Maryland **