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Delamination Modeling of Double Cantilever Beam of Unidirectional Composite Laminates

Journal of Failure Analysis and Prevention volume 17, pages 1011–1018 (2017)Cite this article

Abstract

Delamination crack growth in a double cantilever beam laminated composites is modeled by using simple stress analysis beam theory combined with simple linear elastic fracture mechanics and consideration of the theory of elastic failure in mechanics of material. Furthermore, advanced finite element (FE) model is built up. The FE approach employs surface cohesive zone model that is used to simulate the debonding and crack propagation. The analytical modeling, moreover, cracks growth and strain measurements, which are obtained from FE models, are compared with the available published experimental work. The predicted results give good agreement with interlaminar fracture toughness and maximum load which correspond to crack initiation point. The FE models results agree well with the available experimental data for both crack initiation and propagation.

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Abbreviations

\(\sigma_{\text{co}}\) :

Cohesive stress

G IC :

Mode I surface release energy or fracture toughness

F :

The load at the end of arm

E :

The Young’s modulus

I :

The second moment of area

b :

Beam width

h :

Beam thickness

v :

Total vertical displacement

u :

Half displacement

C :

Compliance

\(\partial A\) :

Crack extension area

\(\sigma_{\text{b}}\) :

Bending stress

Y :

Distance from point load at crack tip

U E :

Stored elastic energy

M(x):

Bending moment in x axis plane

G :

Surface release energy

\(\sigma_{\text{u}}\) :

Un-notch tensile strength

X t :

Transverse tensile strength

E eff :

Effective Young’s modulus

K eff :

Effective stiffness

\(\delta_{\text{o}}\) :

Critical initiation traction–separation displacement

\(\delta_{\text{f}}\) :

Critical crack opening

t n :

Normal contact stress

t s :

Shear contact stress

t t :

Traction contact stress

G IC, G IIC, and G IIIC :

Mode I, II, and III surface release energy

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Authors and Affiliations

  1. Mechanical Engineering Department, Faculty of Engineering, South Valley University, Qena, 83523, Egypt

    Mohammed Y. Abdellah

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Correspondence to Mohammed Y. Abdellah.

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Abdellah, M.Y. Delamination Modeling of Double Cantilever Beam of Unidirectional Composite Laminates. J Fail. Anal. and Preven. 17, 1011–1018 (2017). https://doi.org/10.1007/s11668-017-0324-1

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  • DOI: https://doi.org/10.1007/s11668-017-0324-1

Keywords

  • Fracture toughness
  • Delamination
  • DCB
  • Cohesive surface
  • Crack propagation