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A peridynamic failure analysis of fiber-reinforced composite laminates using finite element discontinuous Galerkin approximations

Journal Article · · International Journal of Fracture
 [1];  [1];  [2];  [3];  [4]
  1. Livermore Software Technology Corporation, Livermore, CA (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computer Science and Mathematics Division
  3. Ford Motor Company, Ford Research and Innovation Center, Dearborn, MI (United States)
  4. Univ. of California, Berkeley, CA (United States). Department of Civil and Environmental Engineering
+ Show Author Affiliations

Here, this paper presents a discontinuous Galerkin weak form for bond-based peridynamic models to predict the damage of fiber-reinforced composite laminates. To represent the anisotropy of a laminate in a peridynamic model, a lamina is simplified as a transversely isotropic medium under a plane stress condition. The laminated structure is modeled by stacking the surface mesh layers along the thickness direction according to the laminate sequence. To avoid a mesh dependence on either the fiber orientation or the discretization, the spherical harmonic expansion theory is employed to construct a function for the micro-elastic modulus in terms of the bond-fiber angle. The laminate material is decomposed into an isotropic matrix material part and a transversely isotropic material part. The bond stiffness can be evaluated using the engineering material constants, based on the equivalence between the elastic energy density in the peridynamic theory and the elastic energy density in the classic continuum mechanics theory. Benchmark tests are conducted to verify the proposed model. Numerical results illustrate that the convergence of simulations with different horizon sizes and meshes can be achieved. In terms of damage analysis, the proposed model can capture the dynamic process of the complex coupling of the inner-layer and delamination damage modes.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1479710
Journal Information:
International Journal of Fracture, Journal Name: International Journal of Fracture Journal Issue: 1 Vol. 214; ISSN 0376-9429
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

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  • Kilic, Bahattin; Madenci, Erdogan; Ambur, Damodar
  • 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
    14th AIAA/ASME/AHS Adaptive Structures Conference
    7th, 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference<BR> 14th AIAA/ASME/AHS Adaptive Structures Conference<BR> 7th     https://doi.org/10.2514/6.2006-2267
conference June 2012

Figures / Tables (19)

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Table 2(p. 29)table Table 2
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Related Subjects

42 ENGINEERING
Discontinuous Galerkin method
Failure analysis
Fiber-reinforced composites
Finite element method
Peridynamic theory