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Consistent application of periodic boundary conditions in implicit and explicit finite element simulations of damage in composites

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Abstract
This paper presents an implementation-dedicated analysis of Periodic Boundary Conditions (PBCs) for Finite Element (FE) models incorporating highly non-linear effects due to plasticity and damage. This research addresses fiber-reinforced composite materials modeled at micros-scale level using a Representative Volume Element (RVE), where its overall mechanical response is obtained via homogenization techniques. For the sake of clearness, a unidirectional ply with randomly distributed fibers RVE model is assumed. PBCs are implemented for implicit and explicit FE solvers, where conformal and non-conformal meshes can be used. The influence of applying PBCs in the reliability of the mechanical response under tension and shear loading is assessed. Furthermore, the Poisson effect and the consistency of damage and fiber debonding propagation through the periodic boundaries are reported as well as their impact on the homogenized results. Likewise, numerical aspects like computational performance and accuracy are evaluated comparing implicit- versus explicit-based solutions.
Keywords
Mechanical Engineering, Industrial and Manufacturing Engineering, Mechanics of Materials, Ceramics and Composites, Periodic Boundary Conditions, Finite elements, Implicit solver, Explicit solver, Micro-mechanics, RVE, COMPUTATIONAL HOMOGENIZATION, TRANSVERSE, BEHAVIOR, PREDICTION, TENSION, MATRIX, MODEL, SHEAR

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MLA
Garoz Gómez, David et al. “Consistent Application of Periodic Boundary Conditions in Implicit and Explicit Finite Element Simulations of Damage in Composites.” COMPOSITES PART B-ENGINEERING 168 (2019): 254–266. Print.
APA
Garoz Gómez, D., Gilabert Villegas, F. A., Sevenois, R., Spronk, S., & Van Paepegem, W. (2019). Consistent application of periodic boundary conditions in implicit and explicit finite element simulations of damage in composites. COMPOSITES PART B-ENGINEERING, 168, 254–266.
Chicago author-date
Garoz Gómez, David, Francisco Antonio Gilabert Villegas, Ruben Sevenois, Siebe Spronk, and Wim Van Paepegem. 2019. “Consistent Application of Periodic Boundary Conditions in Implicit and Explicit Finite Element Simulations of Damage in Composites.” Composites Part B-engineering 168: 254–266.
Chicago author-date (all authors)
Garoz Gómez, David, Francisco Antonio Gilabert Villegas, Ruben Sevenois, Siebe Spronk, and Wim Van Paepegem. 2019. “Consistent Application of Periodic Boundary Conditions in Implicit and Explicit Finite Element Simulations of Damage in Composites.” Composites Part B-engineering 168: 254–266.
Vancouver
1.
Garoz Gómez D, Gilabert Villegas FA, Sevenois R, Spronk S, Van Paepegem W. Consistent application of periodic boundary conditions in implicit and explicit finite element simulations of damage in composites. COMPOSITES PART B-ENGINEERING. Elsevier ; 2019;168:254–66.
IEEE
[1]
D. Garoz Gómez, F. A. Gilabert Villegas, R. Sevenois, S. Spronk, and W. Van Paepegem, “Consistent application of periodic boundary conditions in implicit and explicit finite element simulations of damage in composites,” COMPOSITES PART B-ENGINEERING, vol. 168, pp. 254–266, 2019.
@article{8587687,
  abstract     = {This paper presents an implementation-dedicated analysis of Periodic Boundary Conditions (PBCs) for Finite Element (FE) models incorporating highly non-linear effects due to plasticity and damage. This research addresses fiber-reinforced composite materials modeled at micros-scale level using a Representative Volume Element (RVE), where its overall mechanical response is obtained via homogenization techniques. For the sake of clearness, a unidirectional ply with randomly distributed fibers RVE model is assumed. PBCs are implemented for implicit and explicit FE solvers, where conformal and non-conformal meshes can be used. The influence of applying PBCs in the reliability of the mechanical response under tension and shear loading is assessed. Furthermore, the Poisson effect and the consistency of damage and fiber debonding propagation through the periodic boundaries are reported as well as their impact on the homogenized results. Likewise, numerical aspects like computational performance and accuracy are evaluated comparing implicit- versus explicit-based solutions.},
  author       = {Garoz Gómez, David and Gilabert Villegas, Francisco Antonio and Sevenois, Ruben and Spronk, Siebe and Van Paepegem, Wim},
  issn         = {1359-8368},
  journal      = {COMPOSITES PART B-ENGINEERING},
  keywords     = {Mechanical Engineering,Industrial and Manufacturing Engineering,Mechanics of Materials,Ceramics and Composites,Periodic Boundary Conditions,Finite elements,Implicit solver,Explicit solver,Micro-mechanics,RVE,COMPUTATIONAL HOMOGENIZATION,TRANSVERSE,BEHAVIOR,PREDICTION,TENSION,MATRIX,MODEL,SHEAR},
  language     = {eng},
  pages        = {254--266},
  publisher    = {Elsevier },
  title        = {Consistent application of periodic boundary conditions in implicit and explicit finite element simulations of damage in composites},
  url          = {http://dx.doi.org/10.1016/j.compositesb.2018.12.023},
  volume       = {168},
  year         = {2019},
}

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