VM-WB-MECH-089

VM-WB-MECH-089
Delamination Analysis of a Double Cantilever Beam Using Contact-Based Debonding

Overview

Reference: Alfano, G., & Crisfield, M. A. (2001). Finite element interface models for the delamination analysis of laminated composites: Mechanical and computation issues. International Journal for Numerical Methods in Engineering, 50(7), 1701-1736.
Solver(s):

Ansys Mechanical

Analysis Type(s):

Static Structural

Element Type(s):

Solid

Test Case

A double cantilever beam of length l, width w, and height h with an initial crack of length a at the free end is subjected to a maximum vertical displacement Umax at the top and bottom free end nodes. Determine the vertical reaction at point P, based on the vertical displacement using the contact-based debonding capability.

This problem is also presented in

VM255

in the Mechanical APDL Verification Manual.

Figure 120: Double Cantilever Beam Sketch

Double Cantilever Beam Sketch

Material PropertiesGeometric PropertiesLoading
Composite
E11 = 135.3 GPa
E22 = 9.0 GPa
E33 = 9.0 GPa
G12 = 5.2 GPa
ν12 = 0.24
ν13 = 0.24
ν23 = 0.46
Interface
C1 = 1.7 MPa
C2 = 0.28 N/mm
C5 = 1.0 x 10-5
l = 100 mm
a = 30 mm
h = 3 mm
w = 20 mm

Umax = 10 mm

Analysis Assumptions and Modeling Notes

A double cantilever beam is analyzed under displacement control using 2-D plane strain formulation elements. An imposed displacement of Uy = 10 mm acts at the top and bottom free vertex. Contact debonding is inserted at the interface.

Defined fracture-energy based debonding material is used to define the material for contact debonding. Equivalent separation-distance based debonding material is also used for the contact debonding object.

Based on the interface material parameters used, results obtained using Mechanical are compared to results shown in Figure 15(a) of the reference material.

Results Comparison

 TargetMechanicalError (%)
Max RFORCE and corresponding displacement using debonding
RFORCE FY (N)50.61950.6190
DISP UY (mm)1.501.500
RFORCE and corresponding displacement U = 10.0 using debonding
RFORCE FY (N)24.54324.5430
DISP UY (mm)10.0010.000