Metafor

Large Deformations of Solids [meca0464] - [Calendar for tutorials (2026)]

boman (boman@undisclosed.example.com) — 2026-08-20T09:53:47+00:00

Large Deformations of Solids [meca0464] “”eCampus ---------- Course material * Course description * [Lecture notes (2026-2027)] 🆕 ---------- Calendar for tutorials (2026) 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.

Thermal Load Elements (Metafor > v3593)

vanhulle (vanhulle@undisclosed.example.com) — 2026-08-20T09:14:49+00:00

Thermal Load Elements (Metafor > v3593) Since MR167 (Metafor v3593), there are two kind of thermal load elements depending on whether the load is applied on the volume element (volumetric source) of on the boundary of the elements. All of them are implemented on the same framework and have the same options.

Advanced Solid Mechanics [meca0023] - [Course material]

boman (boman@undisclosed.example.com) — 2026-08-19T16:23:21+00:00

Advanced Solid Mechanics [meca0023] “”eCampus ---------- Course material * Course description * [Lecture notes (2026-2027)] 🆕 ----------

slides_meca-0464_2026-2027.7z - removed

boman (boman@undisclosed.example.com) — 2026-08-19T16:17:22+00:00

Pressure and shear (Metafor > v3593)

boman (boman@undisclosed.example.com) — 2026-08-05T07:39:21+00:00

Pressure and shear (Metafor > v3593) MR !167 page Pressure and shear boundary conditions can be applied using special finite elements defined on the boundary of the mesh. The geometry of these elements are lines in 2D corresponding to the boundary edges of the elements of the 2D mesh. In 3D, pressure elements are triangles or quads, depending of the shape of the facets of the elements of the mesh near the boundary.$\xi$$\eta$

Radiative Material

boman (boman@undisclosed.example.com) — 2026-07-30T06:56:17+00:00

Radiative Material MR !167 page RadiativeMaterial The RadiativeMaterial is implemented to take into account the heat exchange between the boundary of a mesh and the surrounding atmosphere (at uniform Temperature) without taking into account any view factor or self exchange between mesh.$flux = -\sigma \epsilon (T^4-T_{amb}^4)$$\sigma$$\epsilon$$T$$T_{amb}$$ 5.67e^{-8} W/m^2K^4 $$ 5.67e^{-11} mW/mm^2K^4$$\epsilon = \frac{\epsilon_1 * \epsilon_2}{\epsilon_1 + \epsilon_2 - \epsilon_1 * \epsilo…

Heat Flux Material - [RectangularHeatFluxMaterial]

papeleux (papeleux@undisclosed.example.com) — 2026-07-29T18:13:06+00:00

Heat Flux Material MR !167 page Heat Flux Materials are sources of heat that can be applied on boundary of a mesh (Tm(2)boundary2D(3D)Element) or on the mesh (Tm(2)boundary2D(3D)Element) according to the physic (or its model) of the heat source. Excepted to the $x'$$y'$$z'$$flux = Q$$Q$$flux = Q / vol$$flux = 0$$Q$$vol$$vol = c 2a 2b$$flux = Q \frac{6 \sqrt{3}}{a b c \pi sqrt{\pi}} exp^{(-xpart-ypart-zpart)}$$Q$$a$$b$$c$$xpart = 3(\frac{x'}{a})^2$$ypart = 3(\frac{y'}{b})^2$$zpart = 3(\frac{z'…

Convection Material - [Material]

papeleux (papeleux@undisclosed.example.com) — 2026-07-29T16:05:03+00:00

Convection Material MR !167 page The Convection Materials are implemented to take into account the heat exchange by convection between the boundary of a mesh and the surrounding fluid atmosphere. They are designed to be associated with Tm(2)Boundary2D(3D)Element$x'$$y'$$z'$$flux = C (T_{fluid}-T)$$C$$T$$T_{fluid}$$flux = C (T_{fluid}-T)$$flux = 0.0$$kX$$kY$$C$$T$$T_{fluid}$$flux = C exp^{(-(\frac{x_l}{k_x})^2-(\frac{y_l}{k_y})^2)} (T_{fluid}-T)$$k_x$$k_y$$C$$x_l$$y_l$$k_x$$K_y$$T$$T_{fluid}$$f…

Documentation

papeleux (papeleux@undisclosed.example.com) — 2026-07-29T09:11:26+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

Radiation (Metafor < v3593) - created

papeleux (papeleux@undisclosed.example.com) — 2026-07-29T09:09:22+00:00

Radiation (Metafor < v3593) page Materials Since radiation interactions are boundary conditions interactions (LoadingInteraction), no materials must be associated to the element. Element Therefore, the first step consist in defining an ElementProperties, as prp = ElementProperties(typeEl) prp.put(param1, value1) prp.depend(param1, fct1, Lock1)) #optional ...$ 5.67e^{-8} W/m^2K^4 $$ 5.67e^{-11} mW/mm^2K^4$$\epsilon = \frac{\epsilon_1 * \epsilon_2}{\epsilon_1 + \epsilon_2 - \epsilon_1 * \e…

Heat Source/Flux (Metafor < v3593) - created

papeleux (papeleux@undisclosed.example.com) — 2026-07-29T09:07:46+00:00

Heat Source/Flux (Metafor < v3593) page Heat source elements and heat flux boundary elements can be applied using special finite elements. As any finite element, their definition require an ElementProperty object and an Interaction (HeatInteraction) object. There are no $x'$$y'$$z'$$^2$$Q_{src}$$$ q = \frac{Q_{src}}{4a b}~~~\text{if } x'\in [-a,~a],~~ y'\in [-b,~b], $$$a$$b$$x'$$y'$$Q_{src}$$$ q = \frac{Q_{src} 6\sqrt{3}}{ab \pi^\frac{3}{2}}~ e^{-3\left(\frac{x'}{a}\right)^2}~ e^{-3\left(\fr…

Convection (Metafor < v3593) - created

papeleux (papeleux@undisclosed.example.com) — 2026-07-29T09:01:16+00:00

Convection (Metafor < v3593) page Materials Since pressure/shear interactions are boundary conditions interactions (LoadingInteraction), no materials must be associated to the element. Element Therefore, the first step consist in defining an ElementProperties, as prp = ElementProperties(typeEl) prp.put(param1, value1) prp.depend(param1, fct1, Lock1)) #optional ...

Pressure and shear (Metafor < v3593)

papeleux (papeleux@undisclosed.example.com) — 2026-07-29T08:57:57+00:00

Pressure and shear (Metafor < v3593) page Pressure and shear boundary conditions can be applied using special finite elements defined on the boundary of the mesh. The geometry of these elements are lines in 2D corresponding to the boundary edges of the elements of the 2D mesh. In 3D, pressure elements are triangles or quads, depending of the shape of the facets of the elements of the mesh near the boundary.$\xi$$\eta$$\xi$$\eta$

Research Team

boman (boman@undisclosed.example.com) — 2026-07-28T10:48:12+00:00

Research Team Head [Jean-Philippe PONTHOT] Jean Philippe PONTHOT Full Professor Current members [Romain BOMAN] Romain BOMAN ALE formalism - Solvers - Contact/Friction - Object-oriented architecture. [Luc PAPELEUX] Luc PAPELEUX Constitutive laws - Element technology - Optimization. [Arnaud Radermecker] Arnaud Radermecker Multiscale Finite Element - Artificial Intelligence

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