.Understanding Nodal and Elemental Stresses

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In summary: I have always used displacement convergence.In summary, the conversation discusses the difference between nodal and elemental stresses, the use of stresses in computer analysis with strain energy as a convergence criteria, the application of sub-structuring in modeling large structures, the difference between plate and shell elements, and the calculation of von Mises stress. It also mentions using displacement convergence instead of strain energy.
  • #1
gimini75
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Hi

Can you please help me here?

I want to know:
1- the difference between nodal stresses and elemental stresses.
2-How the computer uses these stresses if it is to use strain energy as the convergence criteria?
3-How the sub-structuring technique can be used to model large structures such as aeroplanes and automobiles etc?
4-What is difference between a plate and a shell element?
5-How von Mises stress is calculated?



Thanks for your help
 
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  • #2
A plate element has no curvature to it. A shell element has curvature.

Von-Mises criteria is also known as the Maximum-Distortion-Energy-Criterion and it is based on the distortion energy determination in a given material. Basically, a given structural component is safe when the maximum value of the distortion energy per unit volume in the material is less than the distortion energy per unit volume required to cause the material to yield in a tensile test.

See Mechanics of Materials by Beer and Johnston for more indepth information.

Thanks
 
  • #3
Nodal stress is the stress values at the nodes in the element. Elements can have many nodes depending on the element if it is a plate, a brick, a tetrahedron, a line, and so on.

Elemental stress is the average of these nodal stress values in their respective element. In real life analysis nodal stress is what is used for determining if a component is over stressed.

Sub-structuring is nothing more than breaking up a large model into smaller models. This is done to save computing time and to use multiple analysts to gain efficiency and actually make money on the project.

Thanks
 
  • #4
Lastly, I have never used nor have I seen strain energy used as a convergence criterion.
 

1. What is the difference between nodal and elemental stresses?

Nodal stresses refer to the stresses at specific points or nodes on a structure, while elemental stresses refer to the stresses within individual elements of a structure.

2. How are nodal and elemental stresses calculated?

Nodal stresses are typically calculated using the finite element method, which involves breaking down a structure into smaller elements and solving for the stresses at each node. Elemental stresses are then calculated based on the stresses at each node within the element.

3. What factors can affect nodal and elemental stresses?

The type of loading, material properties, and geometry of the structure can all affect nodal and elemental stresses. Other factors such as temperature changes, corrosion, and manufacturing defects can also impact these stresses.

4. Why is it important to understand nodal and elemental stresses?

Understanding nodal and elemental stresses is crucial for designing safe and efficient structures. By accurately calculating and analyzing these stresses, engineers can ensure that a structure can withstand the expected loads and avoid potential failure.

5. How can nodal and elemental stresses be reduced?

Nodal and elemental stresses can be reduced by adjusting the design of a structure, such as changing the material or geometry, or by redistributing the loads through the use of supports or reinforcements. Proper maintenance and regular inspections can also help identify and address any potential sources of stress.

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