Open Access Open Access  Restricted Access Subscription Access

Micromechanical Finite Element Prediction of Interlaminar Traction-Separation Laws Using J-Integral Approach

CHRISTOPHER S. MEYER, BAZLE Z. HAQUE, DANIEL J. O’BRIEN, JOHN W. GILLESPIE, JR.

Abstract


Dynamic impact loading of woven composites leads to mesoscale damage such as interlaminar transverse cracks and intralaminar tow-tow delamination cracks. At the microscale, this damage may be modeled as fracture between [90/90] and [0/90] unidirectional composite laminates. Microscale finite element model (FEM) resolution of dynamic impact at structural length scale is intractable, but mesoscale FEM resolution is possible with current computational resources. However, mesoscale cohesive zone modeling of this damage requires appropriate tractionseparation laws. These laws are predicted in this work with fiber length-scaleresolved FEMs, which include residual stress, experimentally measured, ratedependent, nonlinear matrix behavior, and experimentally measured, computationally validated, rate-dependent fiber-matrix interface properties. The J-integral from elastoplastic fracture mechanics is computed under mode I and mode II loading and differentiated to determine the traction-separation laws.


DOI
10.12783/asc36/35941

Full Text:

PDF

References


C. S. Meyer, B. Z. (Gama. Haque, D. J. O’Brien, N. Getinet, J. H. Yu, E. Bonyi, K. Aslan, and

J. W. Gillespie, “Mesoscale ballistic damage mechanisms of a single-layer woven glass/epoxy

composite,” International Journal of Impact Engineering, vol. 113, no. August 2017, pp. 118–

, 2018.

A. Cornec, I. Scheider, and K. H. Schwalbe, “On the practical application of the cohesive

model,” Engineering Fracture Mechanics, vol. 70, no. 14, pp. 1963–1987, 2003.

L. P. Canal, C. González, J. Segurado, and J. LLorca, “Intraply fracture of fiber-reinforced

composites: Microscopic mechanisms and modeling,” Composites Science and Technology, vol.

, no. 11, pp. 1223–1232, 2012.

Y. Liu, F. P. van der Meer, L. J. Sluys, and L. Ke, “Modeling of dynamic mode I crack growth

in glass fiber-reinforced polymer composites: Fracture energy and failure mechanism,”

Engineering Fracture Mechanics, p. 107522, 2021.

Y. Zhu, K. M. Liechti, and K. Ravi-Chandar, “Direct extraction of rate-dependent tractionseparation

laws for polyurea/steel interfaces,” International Journal of Solids and Structures,

vol. 46, no. 1, pp. 31–51, 2009.

S. Tamrakar, R. Ganesh, S. Sockalingam, and J. W. Gillespie, “Rate dependent mode II traction

separation law for S-2 glass/epoxy interface using a microdroplet test method,” Composites Part

A: Applied Science and Manufacturing, vol. 124, no. June, 2019.

S. Tamrakar, R. Ganesh, S. Sockalingam, B. Z. Haque, and J. W. Gillespie, “Experimental

Investigation of Strain Rate and Temperature Dependent Response of an Epoxy Resin

Undergoing Large Deformation,” Journal of Dynamic Behavior of Materials, vol. 4, no. 1, pp.

–128, 2018.

S. Marzi, O. Hesebeck, M. Brede, and F. Kleiner, “A Rate-Dependent Cohesive Zone Model for

Adhesively Bonded Joints Loaded in Mode I,” Journal of Adhesion Science and Technology,

vol. 23, no. 6, pp. 881–898, 2009.

S. Ogihara and J. Koyanagi, “Investigation of combined stress state failure criterion for glass

fiber/epoxy interface by the cruciform specimen method,” Composites Science and Technology,

vol. 70, no. 1, pp. 143–150, 2010.

T. L. Anderson, Fracture Mechanics Fundamentals and Applications, 3rd ed. Taylor & Francis,

A. Bergan, C. Dávila, F. Leone, J. Awerbuch, and T. M. Tan, “A Mode I cohesive law

characterization procedure for through-the-thickness crack propagation in composite laminates,”

Composites Part B: Engineering, vol. 94, pp. 338–349, 2016.


Refbacks

  • There are currently no refbacks.