![]() Don’t forget to verify if model deformations are sufficiently small. Verify if you have stability issues (i.e. If your model yields, check if plastic strains are acceptable. Firstly, verify if yielding is not present (or acceptable). In structural design, you have to perform several checks. Let’s take a closer look at how to approach this task! Firstly let’s wonder how to interpret FEA results? Even if you already have proper values from your FEA analysis, still you need to decide how to interpret FEA results. The dependence of the nodal coordinates on the parameter a is specified by providing the gradients of x and y with respect to a on the *PARAMETER SHAPE VARIATION option.Interpreting analysis outcomes is not simple. Positive values of and move the point into the interior of the plate. If the point lies on the boundary of the hole. The coordinates of this point can be parameterized as and, where and are constants and represents the angle (measured from the positive x-axis) of the position vector to the point from the center of the circle. Let a and b represent the semi-major and semi-minor axes, respectively and consider a point with coordinates lying on a circle concentric to the hole. The circular hole can be regarded as a special case of an ellipse with its major axis lying along the x-axis. Based on experience, the effect of a perturbation in the shape of the hole on the nodal coordinates lying outside the shaded region (shown in Figure 1.17.2≡) can be neglected. We wish to study the effect of changing the shape of the hole from circular to elliptical on the maximum absolute stress, therefore, the nodal coordinates need to be related to the shape of the hole. ![]() Since this problem is linear, the perturbation should produce a sensitivity that is scaled by half. ![]() The linear static step is followed by a static perturbation step where the load is perturbed by 50 units. The finite element model is shown in Figure 1.17.2≡. A uniaxial tensile pressure P equal to 100 units is applied to the plate in the 2-direction during a linear static step in ABAQUS/Standard. To simulate an infinite sheet, the plate width is set to 40 times the radius of the hole. Taking advantage of symmetry, a quarter of a linear elastic square plate with a circular hole is modeled with CPS4 elements. ![]()
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