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Computational Methods for Debonding in Composites

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Contents<br />

1 <strong>Computational</strong> <strong>Methods</strong> <strong>for</strong> <strong>Debond<strong>in</strong>g</strong> <strong>in</strong> <strong>Composites</strong> ............ 1<br />

RenédeBorstandJorisJ.C.Remmers<br />

1.1 Introduction . . ............................................ 1<br />

1.2 LevelsofObservation...................................... 3<br />

1.3 Zero-ThicknessInterfaceElements .......................... 5<br />

1.4 Solid-LikeShellFormulation ............................... 12<br />

1.5 The Partition-of-Unity Concept .............................. 15<br />

1.6 Delam<strong>in</strong>ation<strong>in</strong>aSolid-LikeShellElement................... 21<br />

1.7 Conclud<strong>in</strong>gRemarks ...................................... 23<br />

References..................................................... 24<br />

2 Material and Failure Models <strong>for</strong> Textile <strong>Composites</strong> .............. 27<br />

Raimund Rolfes, Gerald Ernst, Matthias Vogler, and Christian Hühne<br />

2.1 Introduction . . ............................................ 28<br />

2.2 Multiscale Analysis ....................................... 29<br />

2.2.1 Homogenization .................................. 31<br />

2.2.2 VoxelMesh ...................................... 32<br />

2.2.3 MicromechanicalUnitCell ......................... 33<br />

2.2.4 MesomechanicalUnitCell.......................... 34<br />

2.3 MaterialModels .......................................... 37<br />

2.3.1 Isotropic Elastic-Plastic Material Model<br />

<strong>for</strong> Epoxy Res<strong>in</strong> ................................... 37<br />

2.3.2 Transversely Isotropic Elastic-Plastic Material Model<br />

<strong>for</strong> Fiber Bundles ................................. 44<br />

2.3.3 TransverselyIsotropicDamageFormulation........... 50<br />

2.4 ResultsofMicromechanicalUnitCellComputations............ 51<br />

2.4.1 ComparisonwithTestResultsfromWWFE ........... 52<br />

2.4.2 Results of Micromechanical Unit Cell<br />

<strong>for</strong>Homogenization ............................... 54<br />

2.5 Conclusion............................................... 55<br />

References..................................................... 55<br />

ix

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