Equation of Virtual Work VS Potential Energy

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Discussion Overview

The discussion revolves around the differences between the equation of virtual work and the equation for potential energy in the context of linear elastic materials. Participants explore the reasons behind the presence of a (1/2) coefficient in the potential energy equation.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • One participant notes that the virtual work equation resembles the potential energy equation but questions the difference in the coefficient of (1/2) in the potential energy equation.
  • Another participant suggests that the (1/2) coefficient in potential energy is related to the method of application of loads, which differs from that in the virtual work equation.
  • A subsequent reply challenges the adequacy of the previous explanation, indicating that it does not fully address the initial question regarding the origin of the (1/2) coefficient.
  • One participant asserts that they provided a brief answer but expresses uncertainty about whether the other participant comprehends the reasoning behind the coefficient.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there is disagreement regarding the adequacy of explanations provided and the understanding of the (1/2) coefficient.

Contextual Notes

There may be limitations in the explanations provided, particularly regarding the assumptions underlying the equations and the specific definitions of terms used in the context of virtual work and potential energy.

rdbateman
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For linear elastic materials (3D General)...

The virtual work equation looks exactly like the equation for potential energy except that in the potential energy equation, the internal work term has a (1/2) coefficient. Why are these different?
 
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Do you know why the potential energy has a 1/2 coefficient?

It has to do with the method of application of the loads, which is different for VW.
 
That doesn't answer the question.
 
Actually I did provide an answer, albeit very short.

But I still don't know if you understand where the 1/2 comes from.
 

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