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Update readme cylinder inclinded plane example
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ncrescenzio committed Nov 6, 2024
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# Cylinder on inclined plane 2D - comparison between analytical and numerical solution with MPM

**Author:** Philip Franz

**Kratos version:** Development branch. **Expected 9.1**
**Kratos version:** **9.5**

**Source files:** [cylinder_on_inclined_plane_2D](https://github.com/KratosMultiphysics/Examples/tree/master/mpm/validation/cylinder_on_inclined_plane/source)



## Case Specification

This is a 2D simulation of a cylinder on an inclined plane. A rotating as well as a frictionless sliding behaviour of the cylinder are regarded subsequently. The simulation is set up according to section 4.5.2 of (Iaconeta, 2019).
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The left image displays the rolling cylinder - modelled with option "contact". The right one shows the sliding cylinder (frictionless) - modelled with option "slip".

<p align="center">
<img alt="Light" src="data/rolling cylinder gif.gif" width="45%">
<img alt="Light" src="https://raw.githubusercontent.com/KratosMultiphysics/Examples/refs/heads/master/mpm/validation/cylinder_on_inclined_plane/data/rolling%20cylinder%20gif.gif" width="45%">
&nbsp; &nbsp; &nbsp; &nbsp;
<img alt="Dark" src="data/sliding cylinder gif.gif" width="46%">
<img alt="Dark" src="https://raw.githubusercontent.com/KratosMultiphysics/Examples/refs/heads/master/mpm/validation/cylinder_on_inclined_plane/data/sliding%20cylinder%20gif.gif" width="46%">
</p>






## References
- Iaconeta, I. (2019). *Discrete-continuum hybrid modelling of flowing and static regimes.* (Ph.D. thesis). Universitat politècnica de Catalunya - Barcelona tech
- Chandra, B., Singer, V., Teschemacher, T., Wüchner, R., Larese, A. (2021) *Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation*. Acta Geotech. 16, 23152335. https://doi.org/10.1007/s11440-020-01123-3
- Iaconeta, I. (2019). **Discrete-continuum hybrid modelling of flowing and static regimes**, *Ph.D. thesis*, Universitat Politècnica de Catalunya, Barcelona
- Chandra, B., Singer, V., Teschemacher, T., Wuechner, R., & Larese, A. (2021). **Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation**, *Acta Geotechnica*, 16(8), 2315-2335. DOI: <a href="https://doi.org/10.1007/s11440-020-01123-3">10.1007/s11440-020-01123-3</a>.

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