Elastic interaction of interfacial spherical-cap cracks in hollow particle filled composites

International Journal of Solids and Structures

Volumn 48, Issue 7-8, 2011, Pages 1141-1153

  Tagliavia, G ^a   Porfiri, M ^a   Gupta, N ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

Crack shielding; Debonding; Interfacial crack; Multiple cracks; Strain energy release rate; Syntactic foams

Indexed keywords

CRACK GROWTH; CRACK KINKING; CRACK STABILITY; ELASTIC INTERACTIONS; ENERGY RELEASE; FINITE ELEMENT; FLEXURAL FAILURE; GROWTH CHARACTERISTIC; HOLLOW PARTICLE; INTERFACIAL CRACK GROWTH; INTERFACIAL CRACKS; MATRIX; MULTIPLE CRACKS; OUTER SURFACE; PARTICLE WALLS; PARTICLE-MATRIX INTERFACE; PENNY-SHAPED CRACK; SEMI-ANALYTICAL; STRESS AND DEFORMATION; SYNTACTIC FOAMS; UNIAXIAL TENSILE LOADING; VINYL ESTERS;

AEROSPACE APPLICATIONS; CRACK PROPAGATION; DEBONDING; ENERGY RELEASE RATE; ESTERS; FRACTURE; GALERKIN METHODS; MARINE APPLICATIONS; QUALITY ASSURANCE; SHIELDING; SPHERES; STRAIN ENERGY; STRAIN RATE; SYNTACTICS;

CRACKS;

EID: 79951675371     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2010.12.017     Document Type: Article

References (64)

1. M. Abramowitz, and I.A. Stegun Handbook of Mathematical Functions 1965 Dover New York, NY
2. M.G. Andrews, and R. Massab The effects of shear and near tip deformations on energy release rate and mode mixity of edge-cracked orthotropic layers Engineering Fracture Mechanics 74 17 2007 2700 2720 (Pubitemid 47317155)
3. M.G. Andrews, and R. Massab Delamination in flat sheet geometries with material imperfections and thickness variations Composites Part B: Engineering 39 1 2008 139 150 (Pubitemid 350017101)
4. M.G. Andrews, R. Massab, and B.N. Cox Elastic interaction of multiple delaminations in plates subject to cylindrical bending International Journal of Solids and Structures 43 5 2006 855 886 (Pubitemid 41828234)
5. A.O. Ayhan, A.C. Kaya, and H.F. Nied Analysis of three-dimensional interface cracks using enriched finite elements International Journal of Fracture 142 3-4 2006 255 276 (Pubitemid 46218573)
6. E. Babolian, and L.M. Delves An augmented Galerkin method for first kind Fredholm equations Journal of Applied Mathematics 24 2 1979 157 174
7. L. Bardella, and F. Genna Elastic design of syntactic foamed sandwiches obtained by filling of three-dimensional sandwich-fabric panels International Journal of Solids and Structures 38 2 2001 307 333 (Pubitemid 32035084)
8. L. Bardella, and F. Genna On the elastic behavior of syntactic foams International Journal of Solids and Structures 38 40-41 2001 7235 7260 (Pubitemid 32836315)
9. F. Barpi, and S. Valente Size-effects induced bifurcation phenomena during multiple cohesive crack propagation International Journal of Solids and Structures 35 16 1998 1851 1861
10. Z.P. Bazǎnt, and J. Planas Fracture and Size Effect in Concrete and Other Quasibrittle Materials 1998 CRC Press Boca Raton, FL
11. Z.P. Bazǎnt, and M.R. Tabbara Bifurcation and stability of structures with interacting propagating cracks International Journal of Fracture 53 3 1992 273 289
12. L. Benabou, N. Benseddiq, and M. Nat-Abdelaziz The energy release rate of a crack in the interfacial zone of particulate-reinforced composites Mechanics of Materials 37 5 2005 551 563 (Pubitemid 40120705)
13. A. Carpinteri, and I. Monetto Snap-back analysis of fracture evolution in multi-cracked solids using boundary element method International Journal of Fracture 98 3 1999 225 241 (Pubitemid 30560331)
14. H.-K. Ching, and R.C. Batra Determination of crack tip fields in linear elastostatics by the meshless local Petrov-Galerkin (MLPG) method Computer Modeling in Engineering & Sciences 2 2 2001 273 289 (Pubitemid 33626575)
15. T.C. Chiu, and H.C. Lin Analysis of stress intensity factors for three-dimensional interface crack problems in electronic packages using the virtual crack closure technique International Journal of Fracture 156 1 2009 75 96
16. J. Cho, M.S. Joshi, and C.T. Sun Effect of inclusion size on mechanical properties of polymeric composites with micro and nano particles Composites Science and Technology 66 13 2006 1941 1952 (Pubitemid 44070633)
17. R.M. Christensen Mechanics of Composite Materials 1979 Dover Mineola, NY
18. J. Dundurs Discussion of a paper by D.B. Bogy Journal of Applied Mechanics 36 1969 650 652
19. M. Fleming, Y.A. Chu, B. Moran, and T. Belytschko Enriched element-free Galerkin methods for crack tip fields International Journal for Numerical Methods in Engineering 40 8 1997 1483 1504
20. E.E. Gdoutos Fracture Mechanics: An Introduction 2005 Springer Norwell, MA
21. G.M. Gladysz, B. Perry, G. Mceachen, and J. Lula Three-phase syntactic foams: structure-property relationships Journal of Materials Science 41 13 2006 4085 4092 (Pubitemid 44214260)
22. L. Gorbatikh On elastic compliances of interfacial cracks International Journal of Fracture 127 2 2004 L141 L148
23. M. Gosz, J. Dolbow, and B. Moran Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks International Journal of Solids and Structures 35 15 1998 1763 1783
24. A.A. Griffith The phenomena of rupture and flow in solids Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character 221 1921 163 198
25. C. Guo, and C.T. Sun Dynamic Mode-I crack-propagation in a carbon/epoxy composite Composites Science and Technology 58 9 1997 1405 1410
26. N. Gupta, R. Ye, and M. Porfiri Comparison of tensile and compressive characteristics of vinyl ester/glass microballoon syntactic foams Composites Part B: Engineering 41 3 2010 236 245
27. S.A. Hamoush, and S.H. Ahmad Fracture energy release rate of adhesive joints International Journal of Adhesion and Adhesives 9 3 1989 171 178
28. J.H. Huang An ellipsoidal inclusion or crack in orthotropic piezoelectric media Journal of Applied Physics 78 11 1995 6491 6503
29. J.S. Huang, and L.J. Gibson Elastic moduli of a composite of hollow spheres in a matrix Journal of the Mechanics and Physics of Solids 41 1 1993 55 75
30. C.G. Hwang, and A.R. Ingraffea Shape prediction and stability analysis of Mode-I planar cracks Engineering Fracture Mechanics 71 12 2004 1751 1777 (Pubitemid 38431392)
31. M.M. Islam, and H.S. Kim Novel syntactic foams made of ceramic hollow micro-spheres and starch: theory, structure and properties Journal of Materials Science 42 15 2007 6123 6132 (Pubitemid 47141962)
32. B. John, C.P.R. Nair, K.A. Devi, and K.N. Ninan Effect of low-density filler on mechanical properties of syntactic foams of cyanate ester Journal of Materials Science 42 14 2007 5398 5405 (Pubitemid 47142020)
33. M.K. Kassir, and A.M. Bregman The stress-intensity factor for a penny-shaped crack between two dissimilar materials Journal of Applied Mechanics 39 1972 308 310
34. B. Kilic, and E. Madenci Hypersingular integral equations for the solution of penny-shaped interface crack problems Journal of Mechanics of Materials and Structures 2 4 2007 729 751
35. H.S. Kim, and P. Plubrai Manufacturing and failure mechanisms of syntactic foam under compression Composites Part A: Applied Science and Manufacturing 35 9 2004 1009 1015
36. A. Kinloch, R. Mohammed, A. Taylor, C. Eger, S. Sprenger, and D. Egan The effect of silica nano particles and rubber particles on the toughness of multiphase thermosetting epoxy polymers Journal of Materials Science 40 18 2005 5083 5086 (Pubitemid 41374555)
37. Kishore, R. Shankar, and S. Sankaran Gradient syntactic foams: tensile strength, modulus and fractographic features Materials Science and Engineering: A 412 1-2 2005 153 158 (Pubitemid 41762243)
38. M. Koopman, K.K. Chawla, K.B. Carlisle, and G.M. Gladysz Microstructural failure modes in three-phase glass syntactic foams Journal of Materials Science 41 13 2006 4009 4014 (Pubitemid 44214253)
39. J.S. Kuang, and Y.H. Wang Analysis of interfacial cracks emanating from a hole in a bi-material plate European Journal of Mechanics - A/Solids 18 3 1999 465 479
40. J. Lee, and A.F. Yee Fracture behavior of glass bead filled epoxies: cleaning process of glass beads Journal of Applied Polymer Science 79 8 2001 1371 1383 (Pubitemid 32138455)
41. W. Lee, S.J. Howard, and W.J. Clegg Growth of interface defects and its effect on crack deflection and toughening criteria Acta Materialia 44 10 1996 3905 3922 (Pubitemid 126408010)
42. A.I. Lure Three-Dimensional Problems of the Theory of Elasticity 1964 Interscience New York, NY
43. C. Marotzke, and L. Qiao Interfacial crack propagation arising in single-fiber pull-out tests Composites Science and Technology 57 8 1997 887 897
44. M.A. Martynenko, and I.V. Lebedyeva Axisymmetric problem for a spherical crack on the interface of elastic media Journal of Engineering Mathematics 56 4 2006 371 384 (Pubitemid 46195576)
45. P.R. Marur Effective elastic moduli of syntactic foams Materials Letters 59 14-15 2005 1954 1957 (Pubitemid 40497252)
46. P.R. Marur Influence of imperfect interface on the elastic moduli of syntactic foams Computational Materials Science 46 2 2009 327 332
47. M. Narkis, S. Kenig, and M. Puterman Three-phase syntactic foams Polymer Composites 5 2 1984 159 165
48. S. Nemat-Nasser Stability of a system of interacting cracks International Journal of Engineering Science 16 4 1978 277 285
49. A. Pawlak, and A. Galeski Determination of stresses around beads in stressed epoxy resin by photoelasticity Journal of Applied Polymer Science 86 6 2002 1436 1444
50. M. Porfiri, and N. Gupta Effect of volume fraction and wall-thickness on the elastic properties of hollow-particle filled composites Composites Part B: Engineering 40 2 2009 166 173
51. P.B.N. Prasad, and K.R.Y. Simha Interactions of interfacial arc cracks International Journal of Fracture 117 1 2002 39 62 (Pubitemid 36036851)
52. J.R. Rice Elastic fracture-mechanics concepts for interfacial cracks Journal of Applied Mechanics 55 1 1988 98 103 (Pubitemid 18590050)
53. P.K. Rohatgi, N. Gupta, and S. Alaraj Thermal expansion of aluminum-fly ash cenosphere composites synthesized by pressure infiltration technique Journal of Composite Materials 40 13 2006 1163 1174 (Pubitemid 43936781)
54. A.L. Saleh, and M.H. Aliabadi Crack growth analysis in concrete using boundary element method Engineering Fracture Mechanics 51 4 1995 533 545
55. V. Sauvant-Moynot, N. Gimenez, and H. Sautereau Hydrolytic ageing of syntactic foams for thermal insulation in deep water: degradation mechanisms and water uptake model Journal of Materials Science 41 13 2006 4047 4054 (Pubitemid 44214257)
56. I.V. Singh, B.K. Mishra, and M. Pant A modified intrinsic enriched element free Galerkin method for multiple cracks simulation Materials & Design 31 1 2010 628 632
57. I.N. Sneddon The stress intensity factor for a flat elliptical crack in an elastic solid under uniform tension International Journal of Engineering Science 17 2 1979 185 191
58. Y. Sumi, S. Nemat-Nasser, and L.M. Keer A new combined analytical and finite-element solution method for stability analysis of the growth of interacting tension cracks in brittle solids International Journal of Engineering Science 18 1 1980 211 224 (Pubitemid 10481299)
59. X.Z. Suo, and A. Combescure Second variation of energy and an associated line independent integral in fracture mechanics. I. Theory European Journal of Mechanics - A/Solids 11 5 1992 609 624 (Pubitemid 23559660)
60. X.Z. Suo, and M.P. Valeta Second variation of energy and an associated line independent integral in fracture mechanics. II. Numerical validations European Journal of Mechanics - A/Solids 17 4 1998 541 565 (Pubitemid 128401842)
61. G. Tagliavia, M. Porfiri, and N. Gupta Analysis of flexural properties of hollow-particle filled composites Composites Part B: Engineering 41 1 2010 86 93
62. G. Tagliavia, M. Porfiri, and N. Gupta Analysis of hollow inclusion-matrix debonding in particulate composites International Journal of Solids and Structures 47 16 2010 2164 2177
63. M. Taya On stiffness and strength of an aligned short-fiber reinforced composite containing penny-shaped cracks in the matrix Journal of Composite Materials 15 3 1981 198 210 (Pubitemid 13523073)
64. E.M. Wouterson, F.Y.C. Boey, X. Hu, and S.C. Wong Specific properties and fracture toughness of syntactic foam: effect of foam microstructures Composites Science and Technology 65 11-12 2005 1840 1850 (Pubitemid 40936401)