Computational Methods for Debonding in Composites

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8 A Numerical Material Model for Predicting the High Velocity Impact Behaviour 177 References 1. Chen JK, Allahdadi FA, Sun CT (1997) A quadratic yield function for fiber-reinforced composites. J Compos Mater 31:788–811 2. Dávila CG, Camanho PP, Rose CA (2005) Failure criteria for FRP laminates. J Compos Mater 39:323–346 3. Donadon MV (2005) The structural behaviour of composite laminates manufactured using resin infusion under flexible tooling. Ph.D. thesis, Imperial College London, UK 4. Hallquist JO (1998) LS-DYNA theorethical manual, version 970 5. Hsiao HM, Daniel IM, Cordes RD (1998) Dynamic compressive behavior of thick composite materials. Exp Mech 38:172–180 6. Iannucci L, Ankersen J (2006) An energy based damage model for thin laminated composites. Compos Sci Technol 66:934–951 7. Mesopoulet S (1999) Through-thickness test methods for laminated composite materials. Ph.D. thesis, Imperial College London, UK 8. vanPaepegem W, deBaere I, Degrieck J (2006) Modelling the nonlinear shear stress-strain response of glass fibre-reinforced composites. Part I: Experimental results. Compos Sci Technol 66:1455–1464 9. Pinho ST, Iannucci L, Robinson P (2006) Physically-based failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking. Part I: Development. Compos Part A 37:63–73 10. Pinho ST, Iannucci L, Robinson P (2006) Physically-based failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking. Part II: FE implementation. Compos Part A 37:766–777 11. Puck A, Schurmann H (2002) Failure analysis of FRP laminates by means of physically based phenomenological models. Compos Sci Technol 62:1633–1662 12. Raimondo L (2007) Predicting the dynamic behaviour of polymer composites. Ph.D. thesis, Imperial College London, UK 13. Raimondo L, Iannucci L, Robinson P et al. (2006) Investigating the strain rate effects on the mechanical properties of polymer composites: a review. Compos Sci Technol, paper Submitted for publication, 2006. 14. Raimondo L, Iannucci L, Robinson P et al. (2007) Predicting the dynamic behaviour of polymer composites. In: 16th International Conference on Composite Materials, Kyoto, Japan 15. Rhee KY, Pae KD (1995) Effects of hydrostatic pressure on the compressive properties of laminated, 0 unidirectional, graphite fiber/epoxy matrix thick-composite. J Compos Mater 29:1295–1307 16. Riedel W, Harwick W, White DM et al (2003) Adammo advanced material damage models for numerical simulation codes. Final report. Technical report, EMI 17. Smoluchowsky R (1957) Dislocation in solids. In: Goldman JE (ed) The science of engineering materials. John Wiley and Sons, New York 18. Ward IM (1982) Mechanical properties of solid polymers. Wiley, New York
Chapter 9 Progressive Damage Modeling of Composite Materials Under Both Tensile and Compressive Loading Regimes N. Zobeiry, A. Forghani, C. McGregor, R. Vaziri, and A. Poursartip Abstract A constitutive model is presented for the complete in-plane response of composite materials within the framework of a previously developed continuum damage mechanics model, CODAM. While the previous CODAM formulation was primarily developed to simulate the progression of damage under tensile loading, the proposed extension is guided by a mechanical analogue model that accounts for the initiation and propagation of damage mechanisms under both tension and compression. Calibration of the tensile damage parameters of the model using the over-height compact tension test (OCT) is presented. Simulations of notched panels under quasi-static in-plane tension and compression loading are used to demonstrate the effectiveness of the model in predicting the load-displacement response as well as the overall damage zone size. Finally, limitations of local smeared crack models are discussed and the preliminary results of a non-local approach to simulating damage progression that overcomes such limitations are presented. 9.1 Introduction As composite materials are being increasingly used in industrial applications, the ability to confidently predict their response to various types of loading is becoming ever more important. Whether the interest is to assess the structural integrity of composites or to quantify their energy absorption capability, it is very desirable to have predictive analysis tools that capture the physics of the damage mechanisms and their propagation under general loading conditions including both tensile and compressive loads. N. Zobeiry, A. Forghani, C. McGregor, R. Vaziri, and A. Poursartip Composites Group, Departments of Civil Engineering and Materials Engineering, The University of British Columbia, 6250 Applied Science Lane, Vancouver, BC, Canada, e-mail: reza.vaziri@ubc.ca 179
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Mechanical Response of Composites
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Pedro P. Camanho • C.G. Dávila S
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Preface The methodology for designi
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Acknowledgements The Editors of thi
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x Contents 3 Practical Challenges i
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xii Contents 8.2.4 Modelling Effect
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xiv Contents 13.1.2 EffectiveProper
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xvi List of Contributors Clara Schu
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Chapter 1 Computational Methods for
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1 Computational Methods for Debondi
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28 R. Rolfes et al. functions by me
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30 R. Rolfes et al. Microscale fibe
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32 R. Rolfes et al. symmetric, whic
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34 R. Rolfes et al. Fig. 2.5 Discre
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36 R. Rolfes et al. Unit cell (a) S
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38 R. Rolfes et al. stress state. T
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40 R. Rolfes et al. biaxial compres
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42 R. Rolfes et al. Damage Evolutio
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44 R. Rolfes et al. Fig. 2.14 Radia
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46 R. Rolfes et al. Table 2.2 Elast
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48 R. Rolfes et al. A dev is the de
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50 R. Rolfes et al. uniaxial compre
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52 R. Rolfes et al. Stress in MPa -
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54 R. Rolfes et al. 2.4.2 Results o
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56 R. Rolfes et al. 12. Hughes TJR
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58 B.N. Cox et al. inform models; a
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60 B.N. Cox et al. 3.2 The Structur
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62 B.N. Cox et al. be successfully
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64 B.N. Cox et al. high fluxes of c
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66 B.N. Cox et al. provides poor in
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68 B.N. Cox et al. For example, a c
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70 B.N. Cox et al. failures in comp
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72 B.N. Cox et al. mixed-mode crack
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74 B.N. Cox et al. 24. Elices M, Gu
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Chapter 4 Analytical and Numerical
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4 Analytical and Numerical Investig
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100 C. Schuecker and H.E. Petterman
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Chapter 6 Study of Delamination in
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6 Study of Delamination with in Com
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230 J.A. Oliveira et al. χ jk i (0
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232 J.A. Oliveira et al. (a) (b) Fi
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234 J.A. Oliveira et al. Fig. 11.7
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236 J.A. Oliveira et al. Fig. 11.10
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238 J.A. Oliveira et al. (a) (b) (c
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240 J.A. Oliveira et al. (a) (b) (c
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242 J.A. Oliveira et al. 20. Suquet
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244 E. Lund and L.S. Johansen In th
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246 E. Lund and L.S. Johansen 12.2.
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248 E. Lund and L.S. Johansen The D
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250 E. Lund and L.S. Johansen Subje
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252 E. Lund and L.S. Johansen Table
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254 E. Lund and L.S. Johansen Layer
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256 E. Lund and L.S. Johansen λ1 =
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258 E. Lund and L.S. Johansen 12.6
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260 E. Lund and L.S. Johansen 34. T
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262 M. Kästner et al. Micro-level
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264 M. Kästner et al. elastic stra
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266 M. Kästner et al. 13.1.1.2 Per
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268 M. Kästner et al. 13.1.2 Effec
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270 M. Kästner et al. including pr
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272 M. Kästner et al. In order to
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274 M. Kästner et al. x2 x 3 x1 Br
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276 M. Kästner et al. Fig. 13.12 I
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278 M. Kästner et al. Table 13.4 C
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Chapter 14 Development of Domain Su
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14 Development of DST for the Model
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294 H. Miled et al. for this type o
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296 H. Miled et al. Fig. 15.2 Diffe
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298 H. Miled et al. Each member of
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300 H. Miled et al. temperature is
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302 H. Miled et al. Fig. 15.7 Compa
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304 H. Miled et al. Table 15.3 Prop
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306 H. Miled et al. Eqs. 15.28 and
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308 H. Miled et al. 15.4.2 Effectiv
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310 H. Miled et al. Fig. 15.13 Comp
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312 H. Miled et al. 9. Carreau P, D
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