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Issue on page /chapter2/hyperelasticity.html #223

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127rifat opened this issue Oct 16, 2024 · 3 comments
Open

Issue on page /chapter2/hyperelasticity.html #223

127rifat opened this issue Oct 16, 2024 · 3 comments

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@127rifat
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It would helpful to include the functional form and weak form derivation for the hyperelastic beam problem example.

@jorgensd
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I would probably refer to: http://jsdokken.com/FEniCS23-tutorial/src/ufl_formulation.html#functionals-and-derivatives
which goes through the functional version of linear elasticity.

@127rifat
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I was actually referring to the nonlinear hyperelasticity problem for deformation of a beam

@jorgensd
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I get that you want that included in this demo.
However, the functional principle is the same for both linear and the non-linear problem:

  1. Formulate an energy functional
  2. Take it's first and second variation.

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