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

# Content:		This folder contains all data for the second example on the mesoscopic scale (Sec. 7.2.2.1)
				
				The example compares the homogenised stiffness components of a layered RVE (two face sheets with stiffer core)
				to the analytically obtained values using [2]. A layered RVE of dimension lx x ly x h = (1x1x1) with linear
				elastic material behaviour (EF = 100 N/mm2, EC=1000 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. 
				
				In Figure 7.10(a) the homogenised torsional stiffness (Db33)* is compared to the analytical value Db33 
				for different RVE sizes LRVE. 
				In Figure 7.10(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=0.625, following [2].
								
				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_7-9.pdf		- Figure 7.9 from [1], illustration of layered RVE and dimensioning
				Fig_7-10.pdf 	- Figure 7.10 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)
				[2]		Stefanos Vlachoutsis. Shear correction factors for plates and shells. International
						Journal for Numerical Methods in Engineering, 33(7):15371552, 1992.
						DOI: 10.1002/nme.1620330712.