# Name: 		_README.txt fr Ordner "\02_Mesoscopic-Scale\01"

# Content:		This folder contains all data for the first example on the mesoscopic scale
				
				The first example on the mesoscopic scale compares the homogenised stiffness components of the RVE
				to the analytically obtained values. A homogeneous RVE of dimension lx x ly x h = (1x1x1) with linear
				elastic material behaviour (E = 100 N/mm2, nu = 0.3) is used. 
				
				The in-plane RVE size of the RVE is chosen to be equal in both directions (i.e. lx=ly=LRVE) and is 
				consecutively increased, LRVE=1,2,4,8,16,32,64. 
				
				In Figure 7.8(a) the homogenised torsional stiffness (Db33)* is compared to the analytical value Db33 
				for different RVE sizes LRVE. 
				In Figure 7.8(b) the homogenised shear stiffness (Ds11)* is compared to the analytical value Ds11, such 
				that the shear correction factor (kappa) is obtained. The analytical value for the shear correction 
				factor is kappa_ref=5/6.
								
				Abbreviation of the boundary conditions:
				pbc - periodic boundary conditions
				sbc - shell boundary conditions
				tbc - traction boundary conditions
				
				Detailed description may be found in [1].

# Datum:		28.08.2024

# Author:		Leonie Mester

# Files:		Fig_7-4.pdf		- Figure 7.4 from [1], illustration of homogeneous RVE and dimensioning
				Fig_7-8.pdf 	- Figure 7.8 from [1], Influence of the RVE size on the homogenised stiffness components
								  (a) torsional stiffness and (b) shear stiffness 
				pbc.dat	- Data for homogenised stiffness components (Db33 and Ds11) normalized with respect to their 
						  analytical value using periodic boundary conditions
				sbc.dat	- Data for homogenised stiffness components (Db33 and Ds11) normalized with respect to their 
						  analytical value using shell boundary conditions
				tbc.dat	- Data for homogenised stiffness components (Db33 and Ds11) normalized with respect to their 
						  analytical value using traction boundary conditions
				
# References:	[1]  	Leonie Mester, Computational Homogenisation and Multiscale Modelling Employing an Image-based
						Approach for the Structural Analysis of Shells, RWTH Aachen, PhD Thesis (2024)