2-D Static Stress Analysis on a Flat plate with Hole (part1)

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

Problem1 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: * All dimensions are in meters.

For,

 

Results:

Discipline: Structural

Analysis Type: Static

Element type: Solid, Quadrilateral 4 node 182

Material model: Linear elastic isotropic 

Max deflection:

 

• After applying 100N tensile force at the free end, the plate gets a maximum deformation of 0.72E-9 m in X-direction.

Element solution:

 

• For an elemental solution, using the 1st principal stress approach we get max stress 290.34  N/m2. Maximum stress occurs at element no. 1270.

 

Vector plot:

 

• Using a vector plot to visualize translations U, we get maximum translation at node 3, which is 0.72E-9 m in the 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.