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An efficient BEM formulation for analysis of bond-line cracks in thin walled aircraft structures

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Abstract

In this paper bond-line cracks in assembled plate structures are investigated. A multi-region boundary element formulation is used to model the assembly and to perform the analysis. Once the solution at the boundary has been obtained, energy methods are used to extract relevant fracture parameters from the boundary values. The energy release rate (G) method and a new J-integral formulation are implemented for interlaminar cracks in shear deformable plates. The energy release rate and the J-integral are then decomposed into stress intensity factors and their value along the bond-line is computed by means of a displacement discontinuity method.

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References

  • Albuquerque EL, Aliabadi MH (2010) boundary element analysis of symmetric laminated composite shallow shells. Comput Methods Appl Mech Eng 199: 2663–2668

    Article  Google Scholar 

  • Aliabadi MH (2001) The boundary element method, vol II: application to solids and structures. Wiley, Chichester

    Google Scholar 

  • Anifantis NK, Giannopoulos GI (2007) A BEM analysis for thermomechanical closure of interfacial cracks incorporating friction and thermal resistance. Comput Methods Appl Mecha Eng 196: 1018–1029

    Article  Google Scholar 

  • Bong C, Kab RL, Yong SC, Yuuki RS (1992) Determination of stress intensity factors and boundary element analysis for interface cracks in dissimilar anisotropic materials analysis for interface cracks in dissimilar anisotropic materials. Eng Fract Mech 43: 603–614

    Article  Google Scholar 

  • Chen YC, Chyanbin HWU (2011) Boundary element analysis for viscoelastic solids containing interfaces/holes/cracks/ inclusions. Eng Anal Boundary Elem 35(8): 1010–1018

    Article  Google Scholar 

  • Chen C-S, Ke C-C, Tu C-H (2007) Evaluating the stress intensity factors of anisotropic bimaterials using boundary element method source. Int J Numer Anal Methods Geomech 32: 1341–1364

    Article  Google Scholar 

  • Chu CM (1994) The stress field singularity near a cusp. Eng Fract Mech 47(3): 361–365

    Article  Google Scholar 

  • Comninou M (1990) An overview of interface cracks. Eng Fract Mech 37: 197–208

    Article  Google Scholar 

  • Correa E, París F, Mantič V (2011) BEM analysis of inter-fibre failure under compression in composites: comparison between carbon and glass fibre systems, Plastics. Rubber Compos 40: 333–341

    Article  CAS  Google Scholar 

  • de Lorenzi HG (1982) On the energy release rate and the J-integral for 3-D crack configurations. Int J Fract 19: 183–193

    Article  Google Scholar 

  • Di Pisa C, Aliabadi MH, Young A (2010) Geometric non-linear analysis of shear deformable plate assemblies with boundary element method. J Strain Anal 45: 179–195

    Article  Google Scholar 

  • Di Pisa C, Aliabadi MH, Young A (2012) Dual boundary method for assembled plate structures undergoing large deflection Source. Int J Numer Methods Eng 89(13): 1720–1738

    Article  Google Scholar 

  • Di pisa C, Aliabadi MH (2012) Fatigue crack growth modelling of assembled plate structures with dual boundary element method. Eng Fract Mech. http://dx.doi.org/10.1016/j.engfracmechh.2012.09.032

  • Dirgantara T, Aliabadi MH (1999) A new bounday element formulation for shear deformable shells analysis. Int J Numer Methods Eng 45(9): 1257–1275

    Article  Google Scholar 

  • Dirgantara T, Aliabadi MH (2000) Crack growth analysis of plates Loaded by bending and tension using dual boundary element method. Int J Fract 105(1): 27–47

    Article  CAS  Google Scholar 

  • Dirgantara T, Aliabadi MH (2006) A boundary element formulation for geometrically nonlinear analysis of shear deformable shells. Comput Methods Appl Mech Eng 195: 4635–4654

    Article  Google Scholar 

  • Dirgantara T, Aliabadi MH (2012) Elastoplastic boundry element method for shear deformable shells. Eng Struct 45: 62–67

    Article  Google Scholar 

  • Dos Reis A, Lima Albuquerque É, Luiz Torsani F, Palermo L Jr, Sollero P (2011) Computation of moments and stresses in laminated composite plates by the boundary element method. Eng Anal Boundary Elem 35: 105–113

    Article  Google Scholar 

  • Fernandes GR, Konda DHA (2012) BEM formulation based on Reissners hypothesis for analysing the coupled stretching-bending problem of building floor structures. Eng Anal Boundary Elem 36: 1377–1388

    Article  Google Scholar 

  • Fraisse P, Schmit F (1993) Use of J-integral as fracture parameter in simplified analysis of bonded joints. Int J Fract 63: 59–73

    Article  Google Scholar 

  • Itou S (2012) Stress intensity factors fot two parallel interface cracks between a nonhomogeneous bonding layer and two dissimilar orthotropic half-planes under tension. Int J Fract 175: 187–192

    Article  Google Scholar 

  • Nagashima T, Omoto Y, Tani S (2003) Stress intensity factor analysis of interface cracks using X-FEM. Int J Numer Methods Eng 56: 1151–1173

    Article  Google Scholar 

  • Nicolás O, Ortiz JE, Cisilino Adrián P (2012) Three-dimensional bem analysis to assess delamination cracks between two transversely isotropic materials. J Mech Mater Struct 6(7–8): 1103–1123

    Google Scholar 

  • Noda N-A (2012) Xin lan stress intensity factors for an edge interface crack in a bonded semi-infinite plate for arbitrary material combination. Int J Solids Struct 49: 1241–1251

    Article  Google Scholar 

  • Materialskbarov SD, Yahnioglu N, Tekin A (2001) 3D FEM analyses of the buckling delamination of a rectangular sandwich plate containing interface rectangular cracks and made from elastic and viscoelastic. Comput Model Eng Sci 64: 147–185

    Google Scholar 

  • Matsumto T, Tanaka M, Obara R (2000) Computation of stress intensity factors of interface cracks based on interaction energy release rates and BEM sensitivity analysis. Eng Fract Mech 65: 683–702

    Article  Google Scholar 

  • Menshykova MV, Menshykov OV, Guz IA (2011) An iterative BEM for the dynamic analysis of interface crack contact problems. Eng Anal Boundary Elem 35: 735–749

    Article  Google Scholar 

  • Murakami Y (1987) Stress intensity factors handbook, vol 1. Pergamon Press, Oxford

    Google Scholar 

  • Pathak H, Singh A, Singh IV (2012) Numerical simulation of bi-material interfacial cracks using EFGM and XFEM. Int J Mech Mater Des 8: 9–36

    Article  Google Scholar 

  • Portilho Paiva W, Sollero P, Lima Albuquerque E (2011) Modal analysis of anisotropic plates using the boundary element method source. Eng Anal Boundary Elem 35(12): 1248–1255

    Article  Google Scholar 

  • Purbolaksono J, Aliabadi MH (2005) Buckling analysis of shear deformable plates by boundary element method. Int J Numer Methods Eng 62: 537–563

    Article  Google Scholar 

  • Rice JR (1988) Elastic Fracture Mechanics Concepts for Interfacial Cracks. J Appl Mech Trans ASME 55: 98–103

    Article  Google Scholar 

  • Rigby RH, Aliabadi MH (1998) Decomposition of the mixed-mode J-integral—revisited. Int J Solid Struct 35: 2073– 2099

    Article  Google Scholar 

  • Sapountzakis EJ, Dikaros IC (2012) Large deflection analysis of plates stiffened by parallel beams. Eng Struct 35: 254–271

    Article  Google Scholar 

  • Schindler H-J, Leinenbach C (2012) Mechanics of fatigue crack growth in a bonding interface. Eng Fract Mech 89: 52–64

    Article  Google Scholar 

  • Shiah YC, Yang R-B, Hwang P-W (2005) Heat conduction in dissimilar anisotropic media with bonding defects/interface cracks. J Mech 21: 15–23

    Article  Google Scholar 

  • Sun CT, Pandey RK (1994) Improved method for calculating strain energy release rate based on beam theory. AIAA J 32(1): 184–189

    Article  Google Scholar 

  • Syngellakis S, Cherukunnath N (2002) Stability analysis of laminate plates by the boundary element method, boundary elements XXIV. 24th international conference on boundary element methods, pp 197–206

  • Tan CL, Gao YL, Afagh FF (1992) Boundary element analysis of interface cracks between dissimilar anisotropic materials. Int J Solids Struct 29: 3201–3220

    Article  Google Scholar 

  • Vander Weeen F (1982) Application of the boundary integral equation method to Reissner’s plate model. Int J Numer Methods Eng 18: 1–10

    Article  Google Scholar 

  • Wang CH (1997) Fracture of interface cracks under combined loading. Eng Fract Mech 56: 77–86

    Article  Google Scholar 

  • Wen PH, Aliabadi MH, Young A (2000) Application of dual reciprocity method to plates and shells. Eng Anal Boundary Elem 24(7–8): 583–590

    Article  Google Scholar 

  • Wen PH, Aliabadi MH, Young A (2005) Large deflection analysis of Reissner plate by boundary element method. Comput Struct 83(10-11): 870–879

    Article  Google Scholar 

  • Williams JG (1987) Large displacements and end block effects on the ’DBC’ interlaminar test in mode I and II. J Compos Mater 21: 330–347

    Article  Google Scholar 

  • Williams JG (1988) On the calculation of energy release rate for cracked laminates. Int J Fract 36: 101–119

    Article  Google Scholar 

  • Wünsche M, Zhang Ch, Sladek J, Sladek V, Hirose S, Kuna M (2009) Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading. Int J Fract 157: 131–147

    Article  Google Scholar 

  • Wutzow WW, de Paiva JB (2008) Analysis of stiffened plates by the boundary element method. Eng Anal Boundary Elem 32(1): 1–10

    Article  Google Scholar 

  • Zamani A, Eslami R (2011) Embedded interfaces by polytope FEM. Int J Numer Methods Eng 88: 715–748

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Engineering, Queen Mary, University of London, London, E1 4NS, UK

    C. Di Pisa

  2. Department of Aeronautics, Imperial College, London, SW7 2BY, UK

    M. H. Aliabadi

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  1. C. Di Pisa
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  2. M. H. Aliabadi
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Correspondence to M. H. Aliabadi.

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Di Pisa, C., Aliabadi, M.H. An efficient BEM formulation for analysis of bond-line cracks in thin walled aircraft structures. Int J Fract 179, 129–145 (2013). https://doi.org/10.1007/s10704-012-9782-3

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  • DOI: https://doi.org/10.1007/s10704-012-9782-3

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