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Computational Mechanics
Erschienen in: Computational Mechanics 4/2016

01.10.2016 | Original Paper

Extended layerwise method for laminated composite plates with multiple delaminations and transverse cracks

verfasst von: D. H. Li, X. Zhang, K. Y. Sze, Y. Liu

Erschienen in: Computational Mechanics | Ausgabe 4/2016

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Abstract

In this paper, the extended layerwise method (XLWM), which was developed for laminated composite beams with multiple delaminations and transverse cracks (Li et al. in Int J Numer Methods Eng 101:407–434, 2015), is extended to laminated composite plates. The strong and weak discontinuous functions along the thickness direction are adopted to simulate multiple delaminations and interlaminar interfaces, respectively, whilst transverse cracks are modeled by the extended finite element method (XFEM). The interaction integral method and maximum circumferential tensile criterion are used to calculate the stress intensity factor (SIF) and crack growth angle, respectively. The XLWM for laminated composite plates can accurately predicts the displacement and stress fields near the crack tips and delamination fronts. The thickness distribution of SIF and thus the crack growth angles in different layers can be obtained. These information cannot be predicted by using other existing shell elements enriched by XFEM. Several numerical examples are studied to demonstrate the capabilities of the XLWM in static response analyses, SIF calculations and crack growth predictions.
Vorheriger Artikel An efficient FE–SBFE coupled method for mesoscale cohesive fracture modelling of concrete
Nächster Artikel A regularized model for impact in explicit dynamics applied to the split Hopkinson pressure bar

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Literatur
1.
Joshi S, Sun C (1985) Impact induced fracture in a laminated composite. J Compos Mater 19(1):51CrossRef
2.
Highsmith AL, Reifsnider KL (1982) Stiffness-reduction mechanisms in composite laminates. Damage Compos Mater 775:103
3.
Laws N, Dvorak GJ, Hejazi M (1983) Stiffness changes in unidirectional composites caused by crack systems. Mech Mater 2(2):123CrossRef
4.
Laws N, Dvorak GJ (1988) Progressive transverse cracking in composite laminates. J Compos Mater 22(10):900CrossRef
5.
Wang A, Chou P, Lei S (1984) A stochastic model for the growth of matrix cracks in composite laminates. J Compos Mater 18(3):239CrossRef
6.
Aboudi J (1987) Stiffness reduction of cracked solids. Eng Fract Mech 26(5):637CrossRef
7.
Gudmundson P, Weilin Z (1993) An analytic model for thermoelastic properties of composite laminates containing transverse matrix cracks. Int J Solids Struct 30(23):3211MATHCrossRef
8.
Choi HY, Downs R, Chang FK (1991) A new approach toward understanding damage mechanisms and mechanics of laminated composites due to low-velocity impact: Part 1-Experiments. J Compos Mater 25(8):992
9.
Choi H, Chang F (1992) A model for predicting damage in graphite/epoxy laminated composites resulting from low-velocity point impact. J Compos Mater 26(14):2134CrossRef
10.
O’Brien TK (1985) Delamination and debonding of materials. ASTM STP 876:282
11.
Dharani L, Tang H (1990) Micromechanics characterization of sublaminate damage. Int J Fract 46(2):123CrossRef
12.
Nairn J, Hu S (1992) The initiation and growth of delaminations induced by matrix microcracks in laminated composites. Int J Fract 57(1):1CrossRef
13.
Berthelot JM, Le Corre JF (2000) A model for transverse cracking and delamination in cross-ply laminates. Compos Sci Technol 60(7):1055CrossRef
14.
Swindeman MJ (2011) A regularized extended finite element method for modeling the coupled cracking and delamination of composite materials. Ph.D. thesis, University of Dayton
15.
Belytschko T, Black T (1999) Elastic crack growth in finite elements with minimal remeshing. Int J Numer Methods Eng 45(5):601MathSciNetMATHCrossRef
16.
17.
Dolbow J, Moës N, Belytschko T (2001) An extended finite element method for modeling crack growth with frictional contact. Comput Methods Appl Mech Eng 190(51):6825MathSciNetMATHCrossRef
18.
Moës N, Gravouil A, Belytschko T (2002) Non-planar 3D crack growth by the extended finite element and level sets - Part I: Mechanical model. Int J Numer Methods Eng 53(11):2549MATHCrossRef
19.
Sukumar N, Chopp D, Moran B (2003) Extended finite element method and fast marching method for three-dimensional fatigue crack propagation. Eng Fract Mech 70(1):29CrossRef
20.
Areias P, Belytschko T (2005) Non-linear analysis of shells with arbitrary evolving cracks using XFEM. Int J Numer Methods Eng 62(3):384MATHCrossRef
21.
Dolbow J, Moës N, Belytschko T (2000) Modeling fracture in Mindlin-Reissner plates with the extended finite element method. Int J Solids Struct 37(48):7161MATHCrossRef
22.
Zhuang Z, Cheng BB (2011) Development of X-FEM methodology and study on mixed-mode crack propagation. Acta Mech Sin 27(3):406MathSciNetMATHCrossRef
23.
Zhuang Z, Cheng B (2011) A novel enriched CB shell element method for simulating arbitrary crack growth in pipes. Sci China Phys Mech Astron 54(8):1520CrossRef
24.
Remmers JJ, Wells GN, Borst RD (2003) A solid-like shell element allowing for arbitrary delaminations. Int J Numer Methods Eng 58(13):2013MATHCrossRef
25.
Sukumar N, Huang Z, Prévost JH, Suo Z (2004) Partition of unity enrichment for bimaterial interface cracks. Int J Numer Methods Eng 59(8):1075MATHCrossRef
26.
Hettich T, Ramm E (2006) Interface material failure modeled by the extended finite-element method and level sets. Comput Methods Appl Mech Eng 195(37):4753MathSciNetMATHCrossRef
27.
Nagashima T, Suemasu H (2010) X-FEM analyses of a thin-walled composite shell structure with a delamination. Comput Struct 88(9):549CrossRef
28.
Curiel Sosa J, Karapurath N (2012) Delamination modelling of GLARE using the extended finite element method. Compos Sci Technol 72(7):788CrossRef
29.
Asadpoure A, Mohammadi S, Vafai A (2006) Crack analysis in orthotropic media using the extended finite element method. Thin Walled Struct 44(9):1031CrossRef
30.
Asadpoure A, Mechanics SEF, Vafai A (2006) Modeling crack in orthotropic media using a coupled finite element and partition of unity methods. Finite Elements Anal Des 42(13):1165CrossRef
31.
Asadpoure A, Mohammadi S (2007) Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method. Int J Numer Methods Eng 69(10):2150MATHCrossRef
32.
Motamedi D, Mohammadi S (2010) Dynamic analysis of fixed cracks in composites by the extended finite element method. Eng Fract Mech 77(17):3373CrossRef
33.
Motamedi D, Mohammadi S (2012) Fracture analysis of composites by time independent moving-crack orthotropic \(\{\text{ XFEM }\}\). Int J Mech Sci 54(1):20CrossRef
34.
Barbero E, Reddy J (1991) Modeling of delamination in composite laminates using a layer-wise plate theory. Int J Solids Struct 28(3):373MATHCrossRef
35.
Chattopadhyay A, Gu H (1994) New higher order plate theory in modeling delamination buckling of composite laminates. AIAA J 32(8):1709MATHCrossRef
36.
Williams TO (1999) A generalized multilength scale nonlinear composite plate theory with delamination. Int J Solids Struct 36(20):3015MATHCrossRef
37.
Williams TO, Addessio FL (1997) A general theory for laminated plates with delaminations. Int J Solids Struct 34(16):2003MATHCrossRef
38.
Cho M, Kim JS (2001) Higher-order zig-zag theory for laminated composites with multiple delaminations. J Appl Mech 68(6):869MATHCrossRef
39.
Kim JS, Cho M (2002) Buckling analysis for delaminated composites using plate bending elements based on higher-order zig-zag theory. Int J Numer Methods Eng 55(11):1323MATHCrossRef
40.
Reddy J (2003) Mechanics of laminated composite plates and shells: theory and analysis. CRC Press, Boca Raton
41.
Li D, Liu Y, Zhang X (2015) An extended layerwise method for composite laminated beams with multiple delaminations and matrix cracks. Int J Numer Methods Eng 101:407–434MathSciNetCrossRef
42.
Stolarska M, Chopp D (2003) Modeling thermal fatigue cracking in integrated circuits by level sets and the extended finite element method. Int J Eng Sci 41(20):2381MATHCrossRef
43.
Stolarska M, Chopp D, Moës N, Belytschko T (2001) Modelling crack growth by level sets in the extended finite element method. Int J Numer Methods Eng 51(8):943MATHCrossRef
44.
Mohammadi S (2012) XFEM fracture analysis of composites. Wiley, Chichester
45.
Kim JH, Paulino GH (2002) Finite element evaluation of mixed mode stress intensity factors in functionally graded materials. Int J Numer Methods Eng 53(8):1903MATHCrossRef
46.
Ashari SE, Mohammadi S (2010) Modeling delamination in composite laminates using XFEM by new orthotropic enrichment functions. In: IOP Conference series: materials science and engineering, vol. 10, IOP Publishing, p. 012240
47.
Ashari S, Mohammadi S (2011) Delamination analysis of composites by new orthotropic bimaterial extended finite element method. Int J Numer Methods Eng 86(13):1507MATHCrossRef
48.
Ashari SE, Mohammadi S (2012) Fracture analysis of FRP-reinforced beams by orthotropic XFEM. J Compos Mater 46(11):1367CrossRef
49.
Zhuang Z, Liu Z, Cheng B, Liao J (2014) Extended finite element method., Tsinghua University Press Computational Mechanics SeriesAcademic Press, New York
50.
Saouma V, Ayari M, Leavell D (1987) Mixed mode crack propagation in homogeneous anisotropic solids. Eng Fract Mech 27(2):171CrossRef
51.
Dolbow J (1999) An extended finite element method with discontinuous enrichment for applied mechanics. Master’s Thesis, Northwestern University
52.
Aliabadi M, Sollero P (1998) Crack growth analysis in homogeneous orthotropic laminates. Compos Sci Technol 58:1697CrossRef
53.
Ghorashi S, Mohammadi S, Sabbagh-Yazdi S (2011) Orthotropic enrichment element free Galerkin method for fracture analysis of composite. Eng Fract Mech 78:1906CrossRef
54.
Shi F, Gao F, Yang Y (2014) Application of extended finite element method to study crack propagation problems of orthotropic rock mass. Rock Soil Mech 35(4):1203
Metadaten
Titel
Extended layerwise method for laminated composite plates with multiple delaminations and transverse cracks
verfasst von
D. H. Li
X. Zhang
K. Y. Sze
Y. Liu
Publikationsdatum
01.10.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 4/2016
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-016-1310-2

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