Metafor

Maxwell Branches

vanhulle (vanhulle@undisclosed.example.com) — 2026-07-02T14:15:20+00:00

Maxwell Branches Linear Maxwell Branch Description The non-equilibrium stress in the current configuration in a Maxwell branch writes (trapezoidal integration) $$ \begin{align*} \mathbf{h}_j^{n+1} \approx e^{-\frac{\Delta t}{\tau_j}} \frac{1}{\Delta J} \Delta F ~\mathbf{h}_j^{n}(\Delta F)^T + \Gamma_j \frac{1 - e^{-\frac{\Delta t}{\tau_j}}}{\frac{\Delta t}{\tau_j}}\left[ \boldsymbol{\sigma}^{n+1}_0 - \frac{1}{\Delta J} \Delta F ~~\boldsymbol{\sigma}^{n}_0(\Delta F)^T\right] …

Dashpots Laws - created

vanhulle (vanhulle@undisclosed.example.com) — 2026-07-02T14:14:13+00:00

Dashpots Laws The Dashpot material law regroups all the functions for the creep factor $\dot{\gamma}$ which are necessary to define nonlinear Maxwell branches. $$ \dot{\gamma} = \dot{\gamma}\left(\tau\right) $$ where $\tau=||\text{dev}\left(\boldsymbol{\sigma}\right)||$ is the effective stress. ReeseGovindjeeDashpot Description For the Reese-Govindjee dashpot, the creep factor writes $$ \dot{\gamma}=\frac{\tau}{2\eta}, $$$\eta$$\eta$$$ \dot{\gamma}=\dot{\gamma}_0\left(\frac{\tau}{\hat{\tau} …

Deviatoric Potentials - [EightChainHyperPotential]

vanhulle (vanhulle@undisclosed.example.com) — 2026-07-02T13:47:59+00:00

Deviatoric Potentials This section contains all material laws which allow to define the deviatoric part of the strain-energy density function $W_{dev}$ Isotropic Elastic Potentials The ElasticPotential material law regroups elastic isotropic deviatoric strain-energy density functions as $$ W_{dev} = W^e_{dev}\left(\bar{I}_1, \bar{I}_2, \bar{I}_3\right) = W^e_{dev}\left(\bar{I}_1, \bar{I}_2, J\right) $$$$ \bar{I}_1 = \text{tr}\bar{\mathbf{B}} = \text{tr}\bar{\mathbf{C}} = \bar{\mathbf{F}}:\ba…

maxwell.png - created

vanhulle (vanhulle@undisclosed.example.com) — 2026-07-02T13:19:15+00:00

polymermodels.pdf - created

vanhulle (vanhulle@undisclosed.example.com) — 2026-07-02T13:05:35+00:00

nlmaxwell.png - created

vanhulle (vanhulle@undisclosed.example.com) — 2026-07-02T12:40:26+00:00

Documentation

vanhulle (vanhulle@undisclosed.example.com) — 2026-07-02T12:34:14+00:00

Documentation * [Beginner] : useful for beginners. * [Advanced] : avoid this feature unless you are an advanced user. * [Expert!] : this feature is still in development. * [Danger!] : unstable feature - use it at your own risk. * [Under construction] : documentation under construction. Tutorials

Volumic Potentials

vanhulle (vanhulle@undisclosed.example.com) — 2026-07-02T12:25:47+00:00

Volumic Potentials The VolumicPotential material law regroups all the functions $\mathcal{f}(J)$ such that the volumetric part of the strain-energy density function $W_{vol}$ can be expressed as $$ W_{vol} = k_0\mathcal{f}(J) $$ with the compression modulus $k_0$. QuadraticVolumicPotential Description Quadratic volumetric strain density (default for $$ \mathcal{f}(J) = \frac{1}{2}\left(J-1\right)^2 $$$k_0$$$ \mathcal{f}(J) = \frac{1}{2}\left(\text{ln}J\right)^2 $$$k_0$$$ \mathcal{f}(J) = \fr…

Function Based Materials

vanhulle (vanhulle@undisclosed.example.com) — 2026-07-02T12:15:32+00:00

Function Based Materials FunctionBasedHyperMaterial Description Hyperelastic law, using a Cauchy stress tensor $\boldsymbol{\sigma}$, stress in the current configuration. (Quasi-)incompressibility is treated by a volumetric/deviatoric multiplicative split of the deformation gradient, i.e. $\bar{\mathbf{F}} = J^{-1/3}\mathbf{F}$$\bar{\mathbf{B}} =\bar{\mathbf{F}}\bar{\mathbf{F}}^T $$\psi$$\psi_{e}$$\psi_{vol}$$$ \psi = \sum_{i=1}^{N_{e}}\psi_{e}^{(i)} + \sum_{i=1}^{N_{vol}}\psi_{vol}^{(i)} $…

tnmgrid.png - created

vanhulle (vanhulle@undisclosed.example.com) — 2026-07-02T11:45:51+00:00

Large Deformations of Solids [meca0464]

boman (boman@undisclosed.example.com) — 2026-07-01T16:02:12+00:00

Large Deformations of Solids [meca0464] “”eCampus ---------- Course material * Course description * [Lecture notes (2025-2026)] 🆕 ---------- Calendar for tutorials (2025) Participation in tutorials is mandatory! In other words, students who are not present at the tutorial sessions won't get any additional support for their project during the semester.

Traditional Materials - [TmContinuousDamageEvpIsoHHypoMaterial]

papeleux (papeleux@undisclosed.example.com) — 2026-06-12T12:43:27+00:00

Traditional Materials The orthotropic frame is a reference frame which is tied to the matter. It can be used to get stresses in a frame which is initially along given directions (for example, axial stresses on a sheet metal), or for anisotropic reasons. By default, the fame is aligned on the global one. $\Delta t$$$ \begin{cases} p^{1} = p^{0} + 3K {\Delta\epsilon}_{ii} \\ s^{1}_{ij} = s^{0}_{ij} + 2G {\Delta\hat{\epsilon}}_{ij} + \eta \frac{{\Delta\hat{\epsilon}}_{ij}}{\Delta t} \end{cases} …

Example 1

radermecker (radermecker@undisclosed.example.com) — 2026-05-16T11:35:51+00:00

Example 1 Example 2 Example 3

fe2_meta.png - created

radermecker (radermecker@undisclosed.example.com) — 2026-05-16T11:35:38+00:00

Example 1

radermecker (radermecker@undisclosed.example.com) — 2026-05-08T09:13:28+00:00

Example 1 Macro: 700 elements; micro (RVE): 2,200 elements (elastoplastic matrix with elastic particles). 120 steps, 165 iterations, 1 h 50 on 64 cores. Example 2

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radermecker (radermecker@undisclosed.example.com) — 2026-05-08T09:13:23+00:00

portofolio_multiscale_radermecker.gif - created

radermecker (radermecker@undisclosed.example.com) — 2026-05-08T09:11:07+00:00

screenshot_2026-05-08_at_10.51.50.png - created

radermecker (radermecker@undisclosed.example.com) — 2026-05-08T08:52:19+00:00

fe2_3d.jpg - created

radermecker (radermecker@undisclosed.example.com) — 2026-05-06T11:35:36+00:00

fe3.jpg - created

radermecker (radermecker@undisclosed.example.com) — 2026-05-06T11:27:11+00:00