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Merge pull request #140 from KratosMultiphysics/mpm/update_readme
[MPM] Update readme files
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mpm/validation/cylinder_on_inclined_plane/README.md

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# Cylinder on inclined plane 2D - comparison between analytical and numerical solution with MPM
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**Author:** Philip Franz
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**Kratos version:** Development branch. **Expected 9.1**
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**Kratos version:** **9.5**
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**Source files:** [cylinder_on_inclined_plane_2D](https://github.com/KratosMultiphysics/Examples/tree/master/mpm/validation/cylinder_on_inclined_plane/source)
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## Case Specification
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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".
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<p align="center">
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<img alt="Light" src="data/rolling cylinder gif.gif" width="45%">
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<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%">
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&nbsp; &nbsp; &nbsp; &nbsp;
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<img alt="Dark" src="data/sliding cylinder gif.gif" width="46%">
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<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%">
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</p>
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## References
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- Iaconeta, I. (2019). *Discrete-continuum hybrid modelling of flowing and static regimes.* (Ph.D. thesis). Universitat politècnica de Catalunya - Barcelona tech
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- 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
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- Iaconeta, I. (2019). **Discrete-continuum hybrid modelling of flowing and static regimes**, *Ph.D. thesis*, Universitat Politècnica de Catalunya, Barcelona
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- 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>.

mpm/validation/granular_flow_2D/README.md

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<p align="center">
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<img src="data/granular_flow_2D_results.png" alt="Obtained results and comparison." width="700" />
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</p>
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(a.) Experiment conducted by (Bui et al., 2008), (b.) comparison of final surface configuration and failure line, (c.) simulation results of (Bui et al., 2008) by using SPH method, (d.) simulation results obtained by implicit MPM method
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</p>
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## References
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- Bui, H. H., Fukagawa, R., Sako, K., & Ohno, S. (2008). Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model. International Journal for Numerical and Analytical Methods in Geomechanics, 32(12), 1537–1570. https://doi.org/10.1002/nag.688
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- Chandra, B., Larese, A., Iaconeta, I., Rossi, R., Wüchner, R. (2018). Soil-Structure Interaction Simulation of Landslides Impacting a Structure Using an Implicit Material Point Method. *Accepted for publication by Proceeding of the 2nd International Conference on The Material Point Method (MPM2019)*.
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- Bui, H. H., Fukagawa, R., Sako, K., & Ohno, S. (2008). **Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model**, *International Journal for Numerical and Analytical Methods in Geomechanics*, 32(12), 1537–1570. DOI: <a href="https://doi.org/10.1002/nag.688">10.1002/nag.688</a>.
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- Chandra, B., Larese, A., Iaconeta, I., Rossi, R., Wüchner, R. (2018). **Soil-Structure Interaction Simulation of Landslides Impacting a Structure Using an Implicit Material Point Method**, *Accepted for publication by Proceeding of the 2nd International Conference on The Material Point Method (MPM2019)*.

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