VM46

VM46
2D End Notched Flexure Problem

Overview

Reference:Mandell, J.F. et al. "Prediction of delamination in wind turbine blade structural details”. Journal of Solar Energy Engineering. (2003): 522-530.
Analysis Type(s):Static (ANTYPE, 0)
Element Type(s):2D Structural Solid Elements (PLANE182)
Input Listing:vm46.dat

VM46 requires a supplemental .cdb input file which is too long to include full input listings. This file must be present in your working directory for the test case to run properly. Additionally, the geometry and mesh should be regenerated.

Download link: MAPDL Test Case Files for 2024 R2

vm46.cdb

Test Case

A beam is clamped at one end and contains a delamination of length a at the other end. A load P is applied in the middle to cause crack-growth. G computation for the cracked tip is conducted for VCCT and compared against the analytical solution (equation (2) in Mandell, J.F. et al. "Prediction of delamination in wind turbine blade structural details”).

Figure 63: Two-Dimensional End Notched Flexure Problem Sketch

Two-Dimensional End Notched Flexure Problem Sketch

Material PropertiesGeometric Properties Loading
E = 210000 MPa
µ = 0.3
L = 30 mm
a = 10 mm
P = 10 N

Analysis Assumptions and Modeling Notes

The problem is solved using 2D PLANE182 element with plain strain element behavior. The contact is defined between the cracks. The crack tip nodes and the number of paths surrounding the crack tip nodes are defined using CINT command. The plate is subjected to vertical loading in the middle. G values are computed for the crack tip node.

Results Comparison

 Target Mechanical APDLRatio
G0.113360.116481.027