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Research Papers

A Phase-Field Damage Model for Orthotropic Materials and Delamination in Composites

[+] Author and Article Information
Bensingh Dhas

Computational Mechanics Laboratory,
Department of Civil Engineering Indian
Institute of Science,
Bangalore 560012, India
e-mail: bensingh@civil.iisc.ernet.in

Md. Masiur Rahaman

Computational Mechanics Laboratory,
Department of Civil Engineering Indian
Institute of Science,
Bangalore 560012, India
e-mail: masiur@civil.iisc.ernet.in

Kiran Akella

Scientist Research & Development
Establishment (Engineers),
Defense Research and Development
Organisation,
Pune 411006, India
e-mail: kiranakella@rde.drdo.in

Debasish Roy

Professor
Computational Mechanics Laboratory,
Department of Civil Engineering Indian
Institute of Science,
Bangalore 560012, India
e-mail: royd@civil.iisc.ernet.in

J. N. Reddy

Professor
Advanced Computational Mechanics Laboratory,
Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77843-3123
e-mail: jnreddy@tamu.edu

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received October 2, 2017; final manuscript received November 16, 2017; published online November 28, 2017. Editor: Yonggang Huang.

J. Appl. Mech 85(1), 011010 (Nov 28, 2017) (8 pages) Paper No: JAM-17-1550; doi: 10.1115/1.4038506 History: Received October 02, 2017; Revised November 16, 2017

A phase-field damage model for orthotropic materials is proposed and used to simulate delamination of orthotropic laminated composites. Using the deviatoric and hydrostatic tensile components of the stress tensor for elastic orthotropic materials, a degraded elastic free energy that can accommodate damage is derived. The governing equations follow from the principle of virtual power and the resulting damage model, by its construction, conforms with the physical relevant condition of no matter interpenetration along the crack faces. The model also dispenses with the traction separation law, an extraneous hypothesis conventionally brought in to model the interlaminar zones. The model is assessed through numerical simulations on delaminations in mode I, mode II, and another such problem with multiple initial notches. The present method is able to reproduce nearly all the features of the experimental load displacement curves, allowing only for small deviations in the softening regime. Numerical results also show forth a superior performance of the proposed method over existing approaches based on a cohesive law.

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References

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Figures

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Fig. 1

Geometry and the boundary conditions for the DCB test

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Fig. 2

Load versus the crack opening displacement for DCB test. The experimental data is taken from [36]. Predictions of load displacement curve based on decohesion elements [37] are also presented for comparison.

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Fig. 3

Geometry and the boundary conditions for the ENF test

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Fig. 4

Comparison of the load displacement curve obtained from present methodology, decohesion element [37] and experiment [36]

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Fig. 5

Mesh convergence study for ENF test

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Fig. 6

Geometry and the boundary conditions for multidelamination problem

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Fig. 7

Contour of phase-field parameter plotted on the deformed shape of the multidelamination specimen for a crack mouth opening displacement of about 25 mm. Notice the lamina bridging the two precracks is still intact.

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Fig. 8

Load-displacement curve for multidelamination problem. The experimental data is from Robinson et al. [38] while the interface element-based simulation data are from Alfano and Crisfield [16].

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