2-D Static Stress Analysis on a Flat plate with Hole (part2)

2-D Static Stress Analysis on a Flat plate with Hole

Problem2 Description:

Examine the stress concentrations in a flat rectangular plate of size 0.5 × 0.2 with three holes whose dimensions are as follows,

Centre	X	Y	Radius
Hole 1	0.25	0.1	0.01
Hole 2	0.23	0.1	0.005
Hole 3	0.27	0.1	0.005

Given: Young’s Modulus = 70e9, Poisson ratio = 0.3, Pressure 100 N, Thickness of plate is 0.3.

* All dimensions are in meters.

For,

Results:

Discipline: Structural

Analysis Type: Static

Element type: Solid, Quadrilateral 8 node 183

Material model: Linear elastic isotropic

Material option: Plane stress with thickness

Real constant: 0.3m thickness (because given problem is 3D plate problem)

Max deflection:

In given 3D plate case, applied pressure load at free end of plate = -100/0.3 (= force/width)

= -333.33 N/m (tensile)

After applying load, the plate gets a maximum deform of 0.240E-8 m in the direction of load (in X direction).

Element solution:

For an elemental solution, using the 1st principal stress approach we get max stress 962.648 (~962.65) N/m2. Maximum stress occurs at element no.3050.
Hence, it can be

Vector plot:

Using a vector plot to visualize translations U, we get maximum translation at node 2, which is 0.24E-8 m (in X-Y plane).
As per graph, due to holes in plate displacement vectors are disturbed and vectors are concentrated near holes. That's the reason behind uneven displacement and stress generation near holes.

Comments

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