Lines Matching refs:energy

83 Here, we define a strain energy density functional $\Phi(\bm \epsilon) \in \mathbb R$ and obtain th…
87 $$ (strain-energy-grad)
90 The strain energy density functional cannot be an arbitrary function $\Phi(\bm \epsilon)$; it can o…
99 For the linear elasticity model, the strain energy density is given by
144 However, the strain energy density differs and is given by
268 Recall that the strain energy density functional can only depend upon invariants.
280 $$ (neo-hookean-energy)
284 To evaluate {eq}`strain-energy-grad`, we make use of
291 Carrying through the differentiation {eq}`strain-energy-grad` for the model {eq}`neo-hookean-energy…
322 A coupled Mooney-Rivlin strain energy density (cf. Neo-Hookean {eq}`neo-hookean-energy`) is {cite}`…
348 :::{dropdown} Mooney-Rivlin strain energy comparison
349 We apply traction to a block and plot integrated strain energy $\Phi$ as a function of the loading …
380    alt.Y("energy", scale=alt.Scale(type="sqrt")),