Computational Methods for Debonding in Composites

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1 Computational Methods for Debonding in Composites 25 16. Remmers JJC, de Borst R (2002) Delamination buckling of Fibre-Metal Laminates under compressive and shear loadings. 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Denver, CO, CD-ROM 17. Remmers JJC, Wells GN, de Borst R (2003) A solid–like shell element allowing for arbitrary delaminations. Int J Numer Methods Eng 58:2013–2040 18. Schellekens JCJ, de Borst R (1992) On the numerical integration of interface elements. Int J Numer Methods Eng 36:43–66 19. Schellekens JCJ, de Borst R (1993) A non-linear finite element approach for the analysis of mode-I free edge delamination in composites. Int J Solids Struct 30:1239–1253 20. Schellekens JCJ, de Borst R (1994) Free edge delamination in carbon-epoxy laminates: a novel numerical/experimental approach. Compos Struct 28:357–373 21. Schellekens JCJ, de Borst R (1994) The application of interface elements and enriched or rate-dependent continuum models to micro-mechanical analyses of fracture in composites. Comput Mech 14:68–83 22. Schipperen JHA, Lingen FJ (1999) Validation of two–dimensional calculations of free edge delamination in laminated composites. Compos Struct 45:233–240 23. Shivakumar K, Whitcomb J (1985) Buckling of a sublaminate in a quasi-isotropic composite laminate. J Compos Mater 19:2–18 24. Simone A (2004) Partition of unity–based discontinuous elements for interface phenomena: computational issues. Commun Numer Methods Eng 20:465–478 25. Turon A, Dávila CG, Camanho PP, Costa J (2007) An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models. Eng Fract Mech 74:1665–1682 26. Wells GN, de Borst R, Sluys LJ (2002) A consistent geometrically non–linear approach for delamination. Int J Numer Methods Eng 54:1333–1355 27. Wells GN, Sluys LJ (2001) A new method for modeling cohesive cracks using finite elements. Int J Numer Methods Eng 50:2667–2682
Chapter 2 Material and Failure Models for Textile Composites Raimund Rolfes, Gerald Ernst, Matthias Vogler, and Christian Hühne Abstract The complex three-dimensional structure of textile composites makes the experimental determination of the material parameters very difficult. Not only the number of constants increases, but especially through-thickness parameters are hardly quantifiable. Therefore an information-passing multiscale approach for computation of textile composites is presented as an enhancement of tests, but also as an alternative to tests. The multiscale approach consists of three scales and includes unit cells on micro- and mesoscale. With the micromechanical unit cell stiffnesses and strengths of unidirectional fiber bundle material can be determined. The mesomechanical unit cell describes the fiber architecture of the textile composite and provides stiffnesses and strengths for computations on macroscale. By comparison of test data and results of numerical analysis the numerical models are validated. To consider the special characteristics of epoxy resin and fiber bundles two material models are developed. Both materials exhibit load dependent yield behavior, especially under shear considerable plastic deformations occur. This non-linear hardening is considered via tabulated input, i.e. experimental test data is used directly without time consuming parameter identification. A quadratic criterion is used to detect damage initiation based on stresses. Thereafter softening is computed with a strain energy release rate formulation. To alleviate mesh-dependency this formulation is combined with the voxel-meshing approach. Epoxy resin is modeled with the first, isotropic elastoplastic material model regarding a pressure dependency in the yield locus. As the assumption of constant volume under plastic flow does not hold for epoxy resin, a special plastic potential is chosen to account for volumetric plastic straining. To describe the material behavior of the fiber bundles, the second, transversely isotropic, elastoplastic material model is developed. The constitutive equations for the description of anisotropy are formulated in the format of isotropic tensor R. Rolfes, G. Ernst, M. Vogler, and C. Hühne Institute for Structural Analysis, Leibniz University of Hannover, Appelstraße 9a, 30167 Hannover, Germany, e-mail: r.rolfes@isd.uni-hannover.de 27
Page 2 and 3: Mechanical Response of Composites
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Page 6 and 7: Preface The methodology for designi
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Chapter 4 Analytical and Numerical
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4 Analytical and Numerical Investig
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