Clapeyron's theorem

Clapeyron's theorem

[kla·pā·rōnz ‚thir·əm]
(mechanics)
The theorem that the strain energy of a deformed body is equal to one-half the sum over three perpendicular directions of the displacement component times the corresponding force component, including deforming loads and body forces, but not the six constraining forces required to hold the body in equilibrium.
References in periodicals archive ?
Secondly, they treated the concentric-annulus problem under prescribed biaxial tractions at the outer boundary r = R and calculated the strain energy, again with the use of Clapeyron's theorem.
However, the discrepancy arises from the fact that Sih and Liebowitz [8] applied Clapeyron's theorem [9] to a finite body (outer radius), R and then R tended to infinity.