rename folder

Author: AakashR003

iga/validation/README.md

@@ -2,8 +2,8 @@
 
 This folder contains the validation cases:
 
-- [Buckling Analysis](buckling_analysis/README.md)
-- [Cantilever Beam - Multi Patch - Geometric Non-Linear Analysis](cantilever_beam_multi_patch_non_linear/README.md)
-- [Cantilever Beam - Single Patch - Geometric Non-Linear Analysis](cantilever_beam_single_patch_non_linear/README.md)
-- [Plate with Hole - Trimmed Patch - Linear Analysis](plate_with_hole_trimmed_patch_linear/README.md)
+- [Buckling Analysis - Single Patch - Cantilever Beam](buckling_analysis_single_patch_cantilever/README.md)
+- [Geometric Non-Linear Analysis - Multi Patch - Cantilever Beam](geometric_nonlinear_analysis_multi_patch_cantilever_beam/README.md)
+- [Geometric Non-Linear Analysis - Single Patch - Cantilever Beam](geometric_nonlinear_analysis_single_patch_cantilever_beam/README.md)
+- [Plate with Hole - Trimmed Patch - Linear Analysis](geometric_linear_analysis_trimmed_patch_plate_with_hole/README.md)
 - [Scordelis-Lo Roof - Single_Patch - Linear Analysis](scordelis_lo_roof_single_patch_linear/README.md)

iga/validation/buckling_analysis/source/geometry.cad.json

@@ -1,33 +1,39 @@
-# Buckling Analysis
+# Buckling Analysis - Single Patch - Cantilever Beam
 
 **Author:** Aakash Ravichandran
 
 **Kratos version:** 10.2
 
-**Source files:** [Buckling Analysis](https://github.com/KratosMultiphysics/Examples/tree/master/iga/validation/buckling_analysis/source)
+**Source files:** [Buckling Analysis - Single Patch - Cantilever Beam](https://github.com/KratosMultiphysics/Examples/tree/master/iga/validation/buckling_analysis/source)
 
 ## Problem definition
 
 This example presents the validation of buckling analysis in Kratos with Isogeometric Analysis.
 
-![Reference Model](data/Reference_Model.png)
+<div align="center">
+<img src="data/Reference_Model.png" alt="Displacement" width="600">
 
 *Structural System [1]*
+</div>
 
 
-The cantilever beam is modeled using single NURBS patch with the Shell3pElement. The CAD model of both the patches is constructed with single span B-spline surfaces and has a curve degree of 2 in both axes. Additional refinement is applied in Kratos, by increasing the curve degree to 4 in both axes and inserting 4 knots in the width and 20 knots along the length of the beam.
+The cantilever beam is modeled using single NURBS patch with the Shell3pElement. The CAD model is constructed with single span B-spline surfaces and has a curve degree of 2 in both directions of the plane. Additional refinement is applied in Kratos, by increasing the curve degree to 4 in both axes and inserting 4 knots in the width and 20 knots along the length of the beam.
 
 ## Results
 
 The buckling load factors are shown in table below. The corresponding buckling modes are shown in image below.  
 
-| Quantity | Reference | Kratos |
+<div align="center">
+
+|  | Reference | Kratos |
 | :--- | :--- | :--- |
 | $\lambda_{cr}^{(1)}$ | 4.1123 | 4.06977 |
 | $\lambda_{cr}^{(2)}$ | 16.449 | 16.1693 |
 | $\lambda_{cr}^{(3)}$ | 37.011 | 36.6759 |
 | $\lambda_{cr}^{(4)}$ | 102.81 | 102.106 |
 
+</div>
+
 | Buckling Mode Shape 1 | Buckling Mode Shape 2 |
 | :---: | :---: |
 | ![Buckling Mode Shape 1](data/Buckling_Mode_1.png) | ![Buckling Mode Shape 2](data/Buckling_Mode_2.png) |