Point Cloud Failure Criterion for Impact Modeling of Composite Structures
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Point Cloud Failure Criterion for Impact Modeling of Composite Structures

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    An orthotropic elasto-plastic damage material model (OEPDMM) suitable for impact analysis of composite materials has been developed through a joint research project funded by the Federal Aviation Administration (FAA) and the National Aeronautics and Space Administration (NASA). The developed material model has been implemented into LS-DYNA®, a commercial finite element program. The material model is comprised of deformation, damage and failure sub-models. The deformation sub-model captures rate- and temperature-dependent elastic and inelastic behavior through a viscoelastic-plastic formulation. The damage sub-model accounts for reductions in elastic stiffness, while the failure sub-model predicts complete loss of load-carrying capacity, leading to element erosion. The primary objective of this dissertation is to improve the failure prediction sub-model. Traditional failure theories using analytical expressions to predict failure either in the composite or its constituents have not proven to be reliable. To overcome the predictability conundrum, a multi-scale modeling scheme based on a combination of virtual and laboratory testing is used to generate the failure surface as point cloud data points in the stress/strain space. At the microscale, the constituent components of the composite are used in modeling a representative volume element (RVE) that is subjected to multi-axial state of stress until the first failure in the RVE is detected. These discrete points are used in the developed Point Cloud Failure Criterion (PCFC). The secondary objectives of the dissertation are to enhance OEPDMM capabilities - (a) develop a new deformation sub-model, the Simplified Material Model that can be used for modeling materials exhibiting little or no elasto-plastic behavior, and (b) develop a framework for obtaining traction-separation law using inverse analysis for modeling delamination in laminated composites. Five validation tests were conducted to assess the accuracy, efficiency and versatility of available capabilities of OEPDMM. The findings from this research establish a robust foundation for future advancements in constitutive modeling of composite materials, with ongoing efforts directed toward extending PCFC to thick-shell and solid finite elements, incorporating rate and temperature-dependent failure surface, and incorporating mesh regularization techniques to further improve computational efficiency and accuracy in high-fidelity finite element simulations.
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