Questions tagged [hyperelastic]

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what preconditioner for incompressible hyperelasticity in 3d (similar to stokes equation?)?

I am working on modeling incompressible elasticity at finite strains. $$ \mathrm{Div} \boldsymbol P = \boldsymbol 0, \quad \boldsymbol X \in \Omega_0 \subset \mathbb R^3, \\ J = 1, \qquad \boldsymbol ...
Simon's user avatar
  • 165
3 votes
0 answers
93 views

Verlet integration on grids or how to get better stability in hyperelastic simulation

I am using MLS-MPM to simulate both solid and fluids. It works, but the amount of time steps I must do for hyperelastic solids is absurd. To give you some perspective, I am able to simulate just the ...
Makogan's user avatar
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2 votes
1 answer
186 views

Neumann BC in the current configuration in a finite-strain problem

For a hyperelastic problem, I understand the variational formulation can be written as the minimisation of $\Pi$ with $\Pi = \int_{\Omega} \psi( \pmb{u} )dx - \int_{\partial\Omega} \pmb{T}\cdot \pmb{u}...
Zed's user avatar
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0 votes
2 answers
166 views

Determination of the domain of nonlinearity in a Neo-Hook solid model (Finite elements)

For a FEM simulation of a Neo-Hook solid model, how do we know we are in the "regime" of nonlinearity of the solid? In other words, how do I know the hyperelastic material law is really used,...
Zed's user avatar
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2 votes
0 answers
119 views

Is the Hessian of the strain energy of a hyperelastic material positive definite in general

Is the spatial second derivative of the strain energy of a hyperelastic material positive definite in general? If this is not a general property of hyperelastic materials are there techniques for ...
Olumide's user avatar
  • 265
2 votes
1 answer
329 views

Finite Element Modelling of Hyperelastic Material under 2D Plane Strain Conditions

I am currently working on writing a MATLAB code for running a finite element simulation of a hyperelastic material in 2D. Since I am building this simulation as a part of a fluid-structure interaction ...
Mohamed Abdelhamid's user avatar