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Mathematical Modeling of Advanced Hybrid Composites

Research Goal. To develop a micromechanics model to predict the Overall Thermo-plastic Behavior of Hybrid Composites. What is Hybrid Composites?. . Hybrid Composite is an elegant" name of engineering fiber-reinforced composite which includes at least two fiber phases embedded inside a matrix mediu

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Mathematical Modeling of Advanced Hybrid Composites

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    1. Mathematical Modeling of Advanced Hybrid Composites Micromechanics Based Model By Ernest Ng

    2. Research Goal

    3. What is Hybrid Composites?

    4. Fiber-reinforced Composites Metal matrix composites Polymer matrix composites Ceramic matrix composites

    5. Hybrid Composites

    6. Why Hybrid Composites? High demand on using light-weighting materials in transportation industry as to reduce fuel consumption. To take the advantages of different material properties so as to optimize the usage of engineering materials in order to achieve certain design criteria. More environmental friendly compare to conventional metals.

    7. Applications

    8. Basic Assumptions

    9. Aims of Micromechanics To estimate the local fields such as stress, strain, displacement, electric and magnetic fields of the heterogeneous materials under overall external physical loadings such as mechanical, thermal and electromagnetic loadings; To estimate the overall effective properties of heterogeneous materials such as stiffness, thermal conductivity, coefficients of thermal expansion, permittivity and permeability.

    10. Methods of Approach Mean field approach Periodic field approach Variational approach Statistical approach Mechanics of materials

    11. Method used in this study

    12. Mean-Field Equations

    13. Idea of TFA Motivated by the existence of uniform field in heterogeneous materials since it opens the way to estimate the local field and concentration factors. Common thermo-mechanical fields such as thermal strain & inelastic strain can be treated as Transformation Strain.

    14. Why TFA? Provide a general framework that are based on the existence of uniform field in heterogeneous solids to estimate the overall effective fields of the composites. Dont need to due with PDEs directly. Good for analyzing multi-phase fibrous solids. Suitable for computational work. Can easily incorporate with different inelastic models and other micromechanics models.

    15. TFA Equations

    16. Auxiliary Equations

    17. Piecewise Approximation

    18. Inelastic Equations

    19. Solution Strategy

    20. Future Work Prepare a user subroutine (UMAT) for ABAQUS; Modify and/or extend the existing TFA by considering other factors such as fiber interpenetration, imperfect interface bonding, damage effect temperature dependent properties etc; Consider other inelastic models. Impact analysis using ABAQUS.

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