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    CHAPTER 6

    FINITE ELEMENT

    METHOD

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    Outlines

    1. Introduction

    2. Finite Element Modelling

    3. FEM Software

    Pre-Processor

    Post-Processing

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    Introduction [1]

    FE modelling process allows fordiscretizing the intricate geometries intosmall fundamental volumes called finite

    elements. Equations being assembled by taking

    proper care of the constraints andloading.

    By solving the equations, results thatdescribe the behaviour of the originalcomplex body being analyzed.

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    Introduction [2]

    Application of FEM:

    Stress analysis

    Dynamic analysis

    Deformation analysis

    Fluid flow analysis

    Heat flow analysis

    Seepage analysis Magnetic flux analysis

    Acoustic analysis

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    Finite Element Modelling [1]

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    Finite Element Modelling [2]

    The displacement, stress, strain and

    loading can be written as follows:

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    Finite Element Modelling [3]

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    Finite Element Modelling [4]

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    FEM Software [1]

    1. Converting the geometry into thediscretised elements, and calculating

    various properties for each individual

    element such as geometry, materialproperties, constraints and loading.

    2. Apply global equations, solving the

    governing equations and obtaining theresults.

    3. Interpreting the results

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    FEM Software [2]

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    Pre-processor [1]

    1. Modelling the geometry2. Generating the finite element mesh by

    making a suitable approximation to the

    geometry.3. Calculate the nodes and elemental

    properties.

    4. Allow specification of boundary andloading conditions.

    5. Allow material properties to bespecified.

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    Pre-processor [2] - CAD

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    Neutral

    File:IGES / STEP

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    Pre-processor [3] - Mesh

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    Post-processing [1]

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    Processing a large amount of datagenerated and converts it into an easily

    understood form for the design purpose.

    Structural Analysis Displacement / Stress/ Strain / Loading /

    Reaction/ Plastic strain/ Creep Strain / etc

    Thermal Analysis Potentials / Fluxes / Gradients / etc

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    Example: LUSAS FEA Software

    Boundary Conditions

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    Example: LUSAS FEA Software

    Stress Contours

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    Example: LUSAS FEA Software

    Displacement Contours

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    Example: LUSAS FEA Software

    Distance along section

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    FEA Software

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