Multiscale simulation of particle-reinforced elastic-plastic adhesives at small strainsMulti-solver algorithms for the partitioned simulation of fluid-structure interaction

Computer Methods in Applied Mechanics and Engineering

Volumn 200, Issue 25-28, 2011, Pages 2211-2222

  Reina Romo, E ^a   Sanz Herrera, J A ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Adhesive; Computational mechanics; Multiscale approach; Plasticity

Indexed keywords

ADHESIVE JOINTS; ADHESIVES; COMPUTATIONAL MECHANICS; ELASTOPLASTICITY; PLASTIC ADHESIVES; PLASTICITY; REINFORCEMENT;

ELASTIC-PLASTIC BEHAVIOUR; HETEROGENEOUS MICROSTRUCTURE; MECHANICAL COMPONENTS; MULTI-SCALE APPROACHES; MULTI-SCALE SIMULATION; MULTISCALE FORMULATIONS; PARTICLE REINFORCED; STRUCTURAL ADHESIVE;

FLUID STRUCTURE INTERACTION;

EID: 79955377878     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2011.03.009     Document Type: Article

References (92)

1. R. Adams, J. Comyn, W. Wake, Structural Adhesive Joints in Engineering, Chapman & Hall, London, 1997.
2. J. Vega-Baudrit, M. Sibaja-Ballestero, P. Vázquez, R. Torregrosa-Maciá, J.M. Martín-Martínez, Properties of thermoplastic polyurethane adhesives containing nanosilicas with different specific surface area and silanol content, Int. J. Adhes. Adhes. 27 (2007) 469-479.
3. G. Dean, L. Crocker, B. Read, L. Wright, Prediction of deformation and failure of rubber-toughened adhesive joints, Int. J. Adhes. Adhes. 24 (2004) 295-306.
4. J. Ferreira, H. Silva, J. Costa, M. Richardson, Stress analysis of lap joints involving natural fiber reinforced interface layers, Compos. Pt. B-Engrg. 36 (2005) 787-795.
5. K.T. Hsiao, J. Alms, S. Advani, Use of epoxy/multiwalled carbon nonotubes as adhesives to join graphite fibre reinforced polymer composites, Nanotechnology 14 (2003) 791-793.
6. S. Meguid, Y. Sun, On the tensile and shear strength of nano-reinforced composite interfaces, Mater. Design 25 (2004) 289-296.
7. W. Zhao, K. Ramani, B. Mueller, Processing and fracture behavior of a polyethylene-based thermoplastic adhesive and a glassfiber filled epoxy adhesive, Int. J. Adhes. Adhes. 20 (2000) 409-413.
8. J. Vega-Baudrit, V. Navarro-Bañón, P. Vázquez, J.M. Martín-Martínez, Addition of nanosilicas with different silanol content to thermoplastic polyurethane adhesives, Int. J. Adhes. Adhes. 26 (2006) 378-387.
9. Q. Zhao, S.V. Hoa, Toughening mechanism of epoxy resins with micro/nano particles, J. Compos. Mater. 41 (2007) 201-219.
10. S. Xu, D. Dillard, J. Dillard, Environmental aging effects on the durability of electrically conductive adhesive joints, Int. J. Adhes. Adhes. 23 (2003) 235-250.
11. A.J. Kinloch, S.J. Shaw, D.A. Tod, D.L. Hunston, Deformation and fracture behaviour of a rubber-toughened epoxy: 1. Microstructure and fracture studies, Polymer 24 (1983) 1341-1354.
12. A.F. Yee, R.A. Pearson, Toughening mechanisms in elastomer-modified epoxies. Part 1 Mechanical studies, J. Mater. Sci. 21 (1986) 2462-2474.
13. A.J. Kinloch, C.A. Finch, S. Hashemi, Effect of segmental molecular mass between crosslinks of the matrix phase on the toughness of rubber-modified epoxies, Polym. Commun. 28 (1987) 322-325.
14. A.J. Kinloch, M.L. Yuen, S.D. Jenkins, Thermoplastic toughened epoxy polymers, J. Mater. Sci. 29 (1994) 3781-3790.
15. B.B. Johnsen, A.J. Kinloch, A.C. Taylor, Toughness of syndiotactic polystyrene/epoxy polymer blends: microstructure and toughening mechanisms, Polymer 46 (2005) 7352-7369.
16. C.B. Bucknall, A.H. Gilbert, Toughening tetrafunctional epoxy resins using polyetherimide, Polymer 30 (1989) 213-217.
17. A.J. Kinloch, J.H. Lee, A.C. Taylor, S. Sprenger, C. Eger, D. Egan, Toughening structural adhesives via nano- and micro-phase inclusions, J. Adhesion 79 (2003) 867-873.
18. A.J. Kinloch, R.D. Mohammed, A.C. Taylor, C. Eger, S. Sprenger, D. Egan, The effect of silica nano particles and rubber particles on the toughness of multiphase thermosetting epoxy polymers, J. Mater. Sci. 40 (2005) 5083-5086.
19. A.J. Kinloch, R.D. Mohammed, A.C. Taylor, S. Sprenger, D. Egan, The interlaminar toughness of carbon-fibre reinforced plastic composites using hybrid toughened matrices A, J. Mater. Sci. 41 (2006) 5043-5046.
20. E.K. Gamstedt, Fatigue damage mechanisms in polymer matrix composites, Ph.D. Thesis, Lulea University of Technology, 1997.
21. J. Spanoudakis, R.J. Young, Crack propagation in a glass particle-filled epoxy resin. Part 2 Effect of particle-matrix adhesion, J. Mater. Sci. 19 (1984) 487-496.
22. J.A. Harris, R.D. Adams, Strength prediction of bonded single lap joints by nonlinear finite element methods, Int. J. Adhes. Adhes. 4 (1984) 65-78.
23. R.H. Andruet, D.A. Dillard, S.M. Holzer, Special finite elements for analysis of adhesive joints, in: European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS, Barcelona, 2000.
24. R.H. Andruet, D.A. Dillard, S.M. Holzer, Two and three dimensional geometrical nonlinear finite elements for analysis of adhesive joints, Int. J. Adhes. Adhes. 21 (2001) 17-34.
25. W.J. Renton, J.R. Vinson, The efficient design of adhesive bonded joints, J. Adhes. 7 (1975) 175-193.
26. U. Yuceoglu, D.P. Updike, Comparison of continuum and spring models of adhesive layers in bonded joints, Advances in Aerospace Structures and Materials, vol. AD 01, American Society of Mechanical Engineers (ASME), New York, 1981. pp. 75-83.
27. A.K. Pickett, L. Hollaway, The analysis of elasto-plastic adhesive stress in adhesive bonded lap joints in F.R.P. structures, Compos. Struct. 4 (1985) 135-160.
28. O.T. Thomsen, Elasto-static and elasto-plastic stress analysis of adhesive bonded tubular lap joints, Compos. Struct. 21 (1992) 249-259.
29. D.S. Dugdale, Yielding of steels sheets containing slits, J. Mech. Phys. Solids 8 (1960) 100-108.
30. G.I. Barenblatt, The mathematical theory of equilibrium cracks in brittle fracture, Adv. Appl. Mech. 7 (1962) 55-129.
31. R. de Borst, M.A. Gutiérrez, G.N. Wells, J.J.C. Remmers, H. Askes, Cohesive-zone models, higher order continuum theories and reliability methods for computational failure analysis, Int. J. Numer. Methods Engrg. 60 (2004) 289- 315.
32. A. Needleman, A continuum model for void nucleation by inclusion debonding, J. Appl. Mech. 54 (1987) 525-531.
33. V. Tvergaard, J.W. Hutchinson, The relation between crack growth resistance and fracture parameters in elastic plastic solids, J. Mech. Phys. Solids 40 (1992) 1377-1397.
34. T. Ungsuwarungsri, W.G. Knauss, Role of damage softened material behavior in the fracture of composites and adhesives, Int. J. Fract. 35 (1987) 221-241.
35. Q.D. Yang, M.D. Thouless, Mixed mode fracture analyses of plastically deforming adhesive joints, Int. J. Fract. 110 (2001) 175-187.
36. M.S. Kafkalidis, M.D. Thouless, The effects of geometry and material properties on the fracture of single lap shear joints, Int. J. Solids Struct. 39 (2002) 4367-4383.
37. S. Li, M.D. Thouless, A.M. Waas, J.A. Schroeder, P.D. Zavattieri, Mixed mode cohesive zone models for fracture of an adhesively bonded polymer matrix composite, Engrg. Fract. Mech. 73 (2006) 64-78.
38. C.M. Landis, T. Pardoen, J.W. Hutchinson, Crack velocity dependent toughness in rate dependent material, Mech. Mater. 32 (2000) 663-678.
39. Ph. Martiny, F. Lani, A.J. Kinloch, T. Pardoen, Numerical analysis of the energy contributions in peel tests: a steady state multilevel finite element approach, Int. J. Adhes. Adhes. 28 (2008) 222-236.
40. Q.D. Yang, M.D. Thouless, S.M. Ward, Numerical simulations of adhesivelybonded beams failing with extensive plastic deformation, J. Mech. Phys. Solids 47 (1999) 1337-1353.
41. M.S. Kafkalidis, M.D. Thouless, Q.D. Yang, M.S. Ward, Deformation and fracture of an adhesive layer constrained by plastically deforming adherends, J. Adhes. Sci. Technol. 14 (2000) 1593-1607.
42. T. Andersson, U. Stigh, The stress-elongation relation for an adhesive layer loaded in peel using equilibrium and energetic forces, Int. J. Solids Struct. 41 (2004) 413-434.
43. S. Li, M.D. Thouless, A.M. Waas, J.A. Schroeder, P.D. Zavattieri, Use of mode I cohesive zone models to describe the fracture of an adhesively bonded polymer matrix composite, Compos. Sci. Technol. 65 (2005) 281-293.
44. A. Needleman, An analysis of decohesion along an imperfect interface, Int. J. Fract. 42 (1990) 21-40.
45. P.H. Geubelle, J. Baylor, Impact-induced delamination of composites: a 2d simulation, Compos. Pt. B-Engrg. 29B (1998) 589-602.
46. T. Ferracin, C. Landis, F. Delannay, T. Pardoen, On the determination of cohesive zone properties of an adhesive layer from the analysis of wedge-peel test, Int. J. Solids Struct. 80 (2003) 2889-2904.
47. J. Eshelby, The determination of the elastic field of an ellipsoidal inclusion and related problems, Proc. R. Soc. Lond. A. 241 (1957) 376-396.
48. T. Mori, K. Tanaka, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Mater. 21 (1973) 571-574.
49. Y. Benveniste, A new approach to the application of Mori Tanaka's theory in composite materials, Mech. Mater. 6 (1987) 147-157.
50. R. Hill, A self consistent mechanics of composites materials, J. Mech. Phys. Solids 13 (1965) 213-222.
51. R.M. Lauchlin, A study of the differential scheme for composite materials, Int. J. Engrg. Sci. 15 (1977) 237-244.
52. S. Torquato, Effective stiffness tensor of composite media: II. Applications to isotropic, J. Mech. Phys. Solids 46 (1998) 1411-1440.
53. C.W. Camacho, C.L. Tucker III, S. Yalvac, R.L. McGee, Stiffness and thermal expansion predictions for hybrid short fiber composites, Polym. Compos. 11 (1990) 229-239.
54. G. Lielens, Micro macro modeling of structured materials, Ph.D. Thesis, Universite Catholique de Louvain, Belgium, 1999.
55. O. Pierard, C. Friebel, I. Doghri, Mean-field homogenization of multi phase thermo elastic composites: a general framework and its validation, Compos. Sci. Technol. 64 (2004) 1587-1603.
56. I. Doghri, A. Ouaar, Homogenization of two phase elasto plastic composite materials and structures. Study of tangent operators, cyclic plasticity and numerical algorithms, Int. J. Solids Struct. 40 (2003) 1681-1712.
57. I. Doghri, C. Friebel, Effective elasto plastic properties of inclusion reinforced composites. Study of shape, orientation and cyclic response, Mech. Mater. 37 (2005) 45-68.
58. P. Ponte-Castañeda, P. Suquet, Nonlinear composites, Adv. Appl. Mech. 34 (1998) 171-301.
59. J.L. Chaboche, P. Kanoute, A. Roos, On the capabilities of mean-field approaches for the description of plasticity in metal-matrix composites, Int. J. Plasticity. 21 (2005) 1409-1434.
60. I. Doghri, L. Brassart, L. Adam, J.S. Gérard, A second-moment incremental formulation for the mean-field homogenization of elasto-plastic composites, Int. J. Plasticity 27 (2011) 352-371.
61. O. Pierard, I. Doghri, An enhanced affine formulation and the corresponding numerical algorithms for the mean field homogenization of elasto-viscoplastic composites, Int. J. Plast. 22 (2006) 131-157.
62. T. Van Hoof, O. Pierard, F. Lani, A coupled mean field/Gurson-Tvergaard micromechanical model for ductile fracture in multiphase materials with large volume fraction of voids, in: 10th Esaform Conference on Material Forming, AIP Conference Proceedings, vol. 907, 2007, pp. 82-87.
63. R.M. Haj-Ali, H. Kilic, Nonlinear constitutive models for pultruded FRP composites, Mech. Mater. 35 (2003) 791-801.
64. A.A. Gusev, Representative volume element size for elastic composites: a numerical study, J. Mech. Phys. Solids 45 (1997) 1449-1459.
65. J.C. Michel, H. Moulinec, P. Suquet, Effective properties of composite materials with periodic microstructure: a computational approach, Comput. Methods Appl. Mech. Engrg. 172 (1999) 109-143.
66. J. Segurado, J. LLorca, A numerical approximation to the elastic properties of sphere-reinforced composites, J. Mech. Phys. Solids 50 (2002) 2107-2121.
67. H. Böhm, W. Han, Comparisons between three-dimensional and twodimensional statistics-based unit cell models for particle-reinforced MMCs, Model. Simul. Mater. Sci. Engrg. 9 (2001) 47-65.
68. J. Segurado, C. Gonzalez, J. LLorca, A numerical investigation of the effect of particle clustering on the mechanical properties of composites, Acta Mater. 51 (2003) 2355-2369.
69. C. Gonzalez, J. Segurado, J. LLorca, Numerical simulation of elastoplastic deformation of composites: evolution of stress microfields and implications for homogenization models, J. Mech. Phys. Solids 52 (2004) 1573-1593.
70. O. Pierard, J. LLorca, J. Segurado, I. Doghri, Micromechanics of particlereinforced elasto-viscoplastic composites: finite element simulations versus affine homogenization, Int. J. Plast. 23 (2007) 1041-1060.
71. J. Llorca, J. Segurado, Three-dimensional multiparticle cell simulations of deformation and damage in sphere-reinforced composites, Mater. Sci. Engrg. A. 365 (2004) 267-274.
72. J. Segurado, J. LLorca, A computational micromechanics study of the effect of interface decohesion on the mechanical behavior of composites, Acta Mater. 53 (2005) 4931-4942.
73. H.J. Böhm, W. Han, A. Eckschlager, Multi-inclusion unit cell studies of reinforcement stresses and particle failure in discontinuously reinforced ductile matrix composites, Comput. Model. Engrg. Sci. 5 (2004) 5-20.
74. K. Terada, N. Kikuchi, A class of general algorithms for multi-scale analyses of heterogeneous media, Comput. Method Appl. Mech. Engrg. 190 (2001) 5421-5464.
75. V. Kouznetsova, M.G.D. Geers, W.A.M. Brekelmans, Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme, Int. J. Numer. Methods Engrg. 54 (2002) 1235-1260.
76. C. Miehe, C.G. Bayreuther, On multiscale FE analysis of heterogeneous structures: from homogenization to multigrid solvers, Int. J. Numer. Methods Engrg. 71 (2007) 1135-1180.
77. Z. Yuan, J. Fish, Toward realization of computational homogenization in practice, Int. J. Numer. Methods Engrg. 73 (2008) 361-380.
78. K. Matous, M.G. Kulkarni, P.H. Geubelle, Multiscale cohesive failure modeling of heterogeneous adhesives, J. Mech. Phys. Solids 56 (2008) 1511-1533.
79. P.M. Suquet, Elements of homogenization for inelastic solid mechanics. Trends and applications of pure mathematics to mechanics, in: E. Sanchez-Palencia, A. Zaoui (Eds.), Homogenization techniques for composite media, Lecture notes in physics, Springer, Berlin, 1987, pp. 193-278.
80. C.E. Schwier, A.S. Argon, R.E. Cohen, Crazing in polystyrene-polybutadiene diblock copolymers containing cylindrical polybutadiene domains, Polymer 26 (1985) 1985-1993.
81. H. Janik, R.J. Gaymans, K. Dijkstra, Polyamide-rubber blends: microscopic studies of the deformation zone, Polymer 36 (1995) 4203-4208.
82. C. Cheng, A. Hiltner, E. Baer, P.R. Soskey, S.G. Mylonakis, Deformation of rubber-toughened polycarbonate: microscale and nanoscale analysis of the damage zone, J. Appl. Polym. Sci. 55 (1995) 1691-1702.
83. F. Mortensen, O.T. Thomsen, Analysis of adhesive bonded joints: a unified approach, Compos. Sci. Technol. 62 (2002) 1011-1031.
84. P. Schmidt, U. Edlund, Analysis of adhesively bonded joints: a finite element method and a material model with damage, Int. J. Numer. Methods Engrg. 66 (2006) 1271-1308.
85. R. Hill, Elastic properties of reinforced solids: some theoretical principles, J. Mech. Phys. Solids 11 (1963) 357-372.
86. J.C. Simo, T.J.R. Hughes, Computational Inelasticity, Springer Science + Business Media, 1998.
87. J.N. Reddy, An Introductory Course to the Finite Element Method, second ed., McGraw-Hill, Boston, 1993.
88. K.J. Bathe, Finite Element Procedures, Prentice-Hall, New Jersey, 1996.
89. T.J.R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, second ed., McGraw-Hill, Dover, New York, 2000.
90. O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method, fifth ed., Butterworth-Heinemann, Oxford, 2000.
91. S.M.R. Khalili, A. Shokuhfar, S.D. Hoseini, M. Bidkhori, S. Khalili, R.K. Mittal, Experimental study of the influence of adhesive reinforcement in lap joints for composite structures subjected to mechanical loads, Int. J. Adhes. Adhes. 28 (2008) 436-444.
92. C.B. Hirschberger, S. Ricker, P. Steinmann, N. Sukumar, Computational multiscale modelling of heterogeneous material layers, Engrg. Fract. Mech. 76 (2009) 793-812.