Micromechanics models of fiber kinking provide insight into the compressive failure mechanism of fiber reinforced composites, but are computationally inefficient in capturing the progressive damage and failure of the material. A homogenized model is desirable for this purpose. Yet, if a proper length scale is not incorporated into the continuum, the resulting implementation becomes mesh dependent when a numerical approach is used for computation. In this paper, a micropolar continuum is discussed to characterize the compressive failure of fiber composites dominated by kinking. Kink banding is an instability associated with a snap-back behavior in the load–displacement response, leading to the formation of a finite region of localized deformation. The challenge in modeling this mode of failure is the inherent geometric and matrix material nonlinearity that must be considered. To overcome the mesh dependency of numerical results, a length scale is naturally introduced when modeling the composite as a micropolar continuum. A new approach is presented to approximate the effective transversely isotropic micropolar constitutive relation of a fiber composite. Using an updated Lagrangian, nonlinear finite element code, previously developed for incorporating the additional rotational degrees-of-freedom (DOFs) of micropolar theory, the simulation of localized deformation in a continuum model, corresponding to fiber kinking, is demonstrated and is found to be comparable with the micromechanics simulation results. Most importantly, the elusive kink band width is a natural outcome of the continuum model.
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September 2018
Research-Article
Compressive Failure of Fiber Composites: A Homogenized, Mesh-Independent Model
Armanj D. Hasanyan,
Armanj D. Hasanyan
Department of Aerospace Engineering,
University of Michigan,
Ann Arbor, MI 48109
University of Michigan,
Ann Arbor, MI 48109
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Anthony M. Waas
Anthony M. Waas
Professor
William E Boeing Department of Aeronautics
and Astronautics,
University of Washington,
Seattle, WA 98195
William E Boeing Department of Aeronautics
and Astronautics,
University of Washington,
Seattle, WA 98195
Search for other works by this author on:
Armanj D. Hasanyan
Department of Aerospace Engineering,
University of Michigan,
Ann Arbor, MI 48109
University of Michigan,
Ann Arbor, MI 48109
Anthony M. Waas
Professor
William E Boeing Department of Aeronautics
and Astronautics,
University of Washington,
Seattle, WA 98195
William E Boeing Department of Aeronautics
and Astronautics,
University of Washington,
Seattle, WA 98195
1Present address: Aerospace Engineering, University of Michigan, Ann Arbor, MI, 48109.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received December 14, 2017; final manuscript received March 18, 2018; published online June 14, 2018. Assoc. Editor: George Kardomateas.
J. Appl. Mech. Sep 2018, 85(9): 091001 (15 pages)
Published Online: June 14, 2018
Article history
Received:
December 14, 2017
Revised:
March 18, 2018
Citation
Hasanyan, A. D., and Waas, A. M. (June 14, 2018). "Compressive Failure of Fiber Composites: A Homogenized, Mesh-Independent Model." ASME. J. Appl. Mech. September 2018; 85(9): 091001. https://doi.org/10.1115/1.4039754
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