.Understanding Nodal and Elemental Stresses

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Discussion Overview

The discussion focuses on understanding nodal and elemental stresses, their applications in computational analysis, the use of sub-structuring techniques for modeling large structures, the differences between plate and shell elements, and the calculation of von Mises stress. The scope includes theoretical concepts and practical applications in engineering contexts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants describe nodal stress as the stress values at the nodes of an element, while elemental stress is characterized as the average of these nodal stress values within the element.
  • One participant explains that sub-structuring involves breaking a large model into smaller models to save computing time and enhance efficiency.
  • Another participant states that a plate element lacks curvature, whereas a shell element has curvature.
  • Von Mises stress is mentioned as being related to the Maximum-Distortion-Energy-Criterion, with a description of its safety criteria based on distortion energy.
  • A participant expresses uncertainty about the use of strain energy as a convergence criterion, indicating they have not encountered it in practice.

Areas of Agreement / Disagreement

Participants present multiple competing views regarding the use of strain energy as a convergence criterion, with at least one participant expressing unfamiliarity with its application.

Contextual Notes

Some claims depend on specific definitions of nodal and elemental stresses, and the discussion does not resolve the implications of using strain energy in convergence criteria.

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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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
 
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
 
Lastly, I have never used nor have I seen strain energy used as a convergence criterion.
 

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