SimA Fracture Mechanics

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Transcript of SimA Fracture Mechanics

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    Fracture MechanicsCapabilities in Marc

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    Presenter Information

    Zhong Qin @ Storrs, Connecticut Lead Technical Representative

    (12 years with MSC)

    Primarily support Marc/Mentat, Nastran and Patran

    Also familiar with Dytran, MSC.Fatigue, LaminateModeler,...

    Education background B.S., Mechanical Engineering

    M.S., Mechanical Engineering Ph.D., Computational Mechanics

    Joe Satkunananthan @ Newport Beach, CA

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    Seminar Agenda

    Overview of fracture mechanics capabilities J-Integral Lorenzi option

    Virtual Crack Closure Technique VCCT option

    Delamination crack initiation based on stress criterion

    Crack propagation direct and fatigue

    Simulation of crack propagation Crack initiation

    Crack propagation types

    Crack propagation methods

    Crack propagation direction

    Crack propagation criteria

    Demo

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    Fracture Mechanics - Overview

    J-Integral A path-independent contour integral

    for the analysis of cracks

    Equivalent to the energy releaserate for linear elastic material model

    Stress intensity factors KI, KII & KIIIby mode separation

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    Fracture Mechanics - Overview

    J-Integral (cont.) Integration domain is defined

    by rigid regions

    Rigid region may be defined Topology search (connectivity)

    Geometry search (radius) Manual

    Shift vector can be definedmanually or automatically

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    Fracture Mechanics - Overview

    VCCT Virtual Crack Closure Technique

    A simpler but more general way forobtaining energy release rate G

    G = change in potential energy by

    a change in crack length

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    Fracture Mechanics - Overview

    VCCT crack propagation Direct and fatigue crack propagation

    types are supported

    Crack grows when G is greater thanmaterial fracture toughness Gc

    Fatigue crack growth incrementcalculated by Paris Law

    Crack can grow by remeshingor splitting elements

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    Fracture Mechanics - Overview

    Crack initiators Modeling existing flaws

    Splitting mesh

    Cutting mesh along a curve

    Remeshing with faceted surface

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    Fracture Mechanics - Overview

    Delamination Crack initiation due to service loading

    Based on stress criteria

    Split mesh upon failure

    Insert VCCT definition

    Insert cohesive interface elements Terminate loadcase when crack is initiated

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    VCCT Crack Propagation

    Crack propagation analysis types Low cycle fatigue

    High cycle fatigue

    Direct Both fatigue and direct

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    VCCT Crack Propagation

    Crack growth methods Remeshing

    Release constraints

    Split elements Cut through elements

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    VCCT Crack Propagation

    Crack growth direction Maximum hoop stress

    Along pure mode

    Along mode I User defined

    Mode I and normal

    User subroutine

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    VCCT Crack Propagation

    Fatigue crack propagation properties Fixed growth increment size

    Fatigue time period

    Crack growth increment

    Cracks grow with constant increment at the endof fatigue time period

    Useful for crack growth path

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    VCCT Crack Propagation

    Fatigue crack propagation properties Growth increment calculated by Paris law

    In terms of energy release rate

    In terms of stress intensity

    Perform every fatigue cycle

    Useful for low cycle fatigue

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    VCCT Crack Propagation

    Fatigue crack propagation properties Fixed with scaling

    Specified growth increment is scaled

    Fatigue law scaling

    Exponential scaling

    High cycle fatigue count

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    VCCT Crack Propagation

    Direct crack propagation properties Total energy release rate (fracture toughness)

    Individual modes

    Power law mixed mode Reeder mixed mode

    Total using Lorenzi

    Geometry based rigid regionpreferable for 3D problems

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    VCCT Crack Propagation

    Available results Energy release rate

    Stress intensity factor

    Crack growth direction Crack local system

    VCCT failure index

    Accumulated crack growth

    Number of fatigue cyclesGlobal variable

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    Summary

    Marc supports J-integral and VCCT for fracture mechanics

    For J-integral evaluation, rigid region can be defined byautomatic topology search or geometry search

    Crack initiator may be used to generate initial crack for VCCTcrack propagation

    Stress-based delamination option may work alone orgenerate initial crack for VCCT crack propagation

    In fatigue crack propagation, a load sequence is repeatedand crack grows after each sequence

    Paris law is used to calculate high cycle fatigue count

    In direct crack propagation, crack grows if a given crackgrowth criterion is fulfilled

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    DemoFatigue crack propagation in a lug

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    Demo (cont.)

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    Demo (cont.)

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    Thank You