Parameter estimation of a rate-dependent damage constitutive model for damage-tolerant brittle composites by Self-OPTIM analyses

International Journal of Damage Mechanics

Volumn 22, Issue 5, 2013, Pages 699-718

  Shang, Shen ^a   Yun, Gun Jin ^a   Kim, Bong Rae ^b   Lee, Haeng Ki ^c  

^a The University of Akron   (United States)

^b Korea Electric Power Research Institute (KEPRI)   (South Korea)

^c Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

damage constitutive model; damage tolerant brittle composites; inverse identification algorithm; micromechanics; optimization; Parameter estimation; self optimizing inverse method

Indexed keywords

DAMAGE CONSTITUTIVE MODEL; INVERSE IDENTIFICATION; INVERSE IDENTIFICATION METHOD; INVERSE METHODS; NON-LINEAR FINITE-ELEMENT ANALYSIS; OPTIMIZATION PROCEDURES; OPTIMIZATION TECHNIQUES; STEADY-STATE GENETIC ALGORITHMS;

CONSTITUTIVE MODELS; DAMAGE DETECTION; FINITE ELEMENT METHOD; FRACTURE MECHANICS; GENETIC ALGORITHMS; IDENTIFICATION (CONTROL SYSTEMS); INVERSE PROBLEMS; MICROMECHANICS; OPTIMIZATION; PARAMETER ESTIMATION; TENSILE TESTING;

DAMAGE TOLERANCE;

EID: 84879534692     PISSN: 10567895     EISSN: 15307921     Source Type: Journal    
DOI: 10.1177/1056789512464634     Document Type: Article

References (74)

1. Abendroth M, Kuna M. Identification of ductile damage and fracture parameters from the small punch test using neural networks. Engineering Fracture Mechanics. 2006 ; 73 (6). 710-725
2. Addessio FL, Johnson JN. A constitutive model for the dynamic-response of brittle materials. Journal of Applied Physics. 1990 ; 67 (7). 3275-3286
3. Arndt PF, Nattermann T. Criterion for crack formation in disordered materials. Physical Review B: Condensed Matter. 2001 ; 63: 134204-134204
4. Barbero EJ, Abdelal GF, Caceres A. A micromechanics approach for damage modeling of polymer matrix composites. Composite Structures. 2005 ; 67 (4). 427-436
5. Bazant ZP, Gambarova PG. Crack shear in concrete - crack band microplane model. ASCE Journal of Structural Engineering. 1984 ; 110 (9). 2015-2035
6. Ben Azzouna M, Perie JN, Guimard JM, et al. On the identification and validation of an anisotropic damage model using full-field measurements. International Journal of Damage Mechanics. 2011 ; 20 (8). 1130-1150
7. Broggiato GB, Campana F, Cortese L. Identification of material damage model parameters: An inverse approach using digital image processing. Meccanica. 2007 ; 42 (1). 9-17
8. Brunet M, Morestin F, Walter H. Damage identification for anisotropic sheet-metals using a non-local damage model. International Journal of Damage Mechanics. 2004 ; 13 (1). 35-57
9. Buehler MJ, Hartmaier A, Gao H. Hierarchical multi-scale modelling of plasticity of submicron thin metal films. Modelling and Simulation in Materials Science and Engineering. 2004 ; 12 (4). S391 - S413
10. Carol I, Bazant ZP. Damage and plasticity in microplane theory. International Journal of Solids and Structures. 1997 ; 34 (29). 3807-3835
11. Chen J, Lee JD. Multiscale modeling of fracture of MgO: sensitivity of interatomic potentials. Theoretical and Applied Fracture Mechanics. 2010 ; 53 (1). 74-79
12. Chen J, Wang XQ, Wang HC, et al. Multiscale modeling of dynamic crack propagation. Engineering Fracture Mechanics. 2010 ; 77 (4). 736-743
13. Claire D, Hild F, Roux S. Identification of a damage law by using full-field displacement measurements. International Journal of Damage Mechanics. 2007 ; 16 (2). 179-197
14. Corigliano A, Mariani S. Simulation of damage in composites by means of interface models: parameter identification. Composites Science and Technology. 2001 ; 61 (15). 2299-2315
15. Curran DR, Shockey DA, Seaman L. Dynamic fracture criteria for a polycarbonate. Journal of Applied Physics. 1973 ; 44 (9). 4025-4038
16. Dienes JK. On the stability of shear cracks and the calculation of compressive strength. Journal of Geophysical Research. 1983 ; 88 (B2). 1173-1179
17. Friswell MI. Damage identification using inverse methods. Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences. 2007 ; 365 (1851). 393-410
18. Ghaboussi J, Pecknold DA, Zhang MF, et al. Autoprogressive training of neural network constitutive models. International Journal for Numerical Methods in Engineering. 1998 ; 42 (1). 105-126
19. Ghosh S, Lee K, Raghavan P. A multi-level computational model for multi-scale damage analysis in composite and porous materials. International Journal of Solids and Structures. 2001 ; 38 (14). 2335-2385
20. Gornet L, Ijaz H. High cycle fatigue damage model for delamination crack growth in cF/epoxy composite laminates. International Journal of Damage Mechanics. 2011 ; 20 (5). 783-807
21. Gudmundson P. Micromechanically based constitutive models for damage evolution in composite laminates. International Journal of Damage Mechanics. 2000 ; 9 (1). 29-39
22. Haj-Ali R. Cohesive micromechanics: a new approach for progressive damage modeling in laminated composites. International Journal of Damage Mechanics. 2009 ; 18 (8). 691-719
23. Horii H, Hasegawa A, Nishino F Fracture of Concrete and Rock. Shah SP Swartz SE, ed. Berlin: Springer-Verlag ; 1989: 205-219.
24. Iacono C, Sluys LJ, van Mier JGM. Estimation of model parameters in nonlocal damage theories by inverse analysis techniques. Computer Methods in Applied Mechanics and Engineering. 2006 ; 195 (52). 7211-7222
25. Ju JW, Lee HK. A micromechanical damage model for effective elastoplastic behavior of partially debonded ductile matrix composites. International Journal of Solids and Structures. 2001 ; 38 (36-37). 6307-6332
26. Ju JW, Yanase K. Elastoplastic micromechanical damage mechanics for composites with progressive partial fiber debonding and thermal residual stress. Proceedings of the ASME international mechanical engineering congress and exposition 2007 ; 2008 Seattle, WA ; 2008. 277.
27. Kanatani KI. Distribution of directional-data and fabric tensors. International Journal of Engineering Science. 1984 ; 22 (2). 149-164
28. Karihaloo BL, Fu D, Huang X. Modeling of tension softening in quasi-brittle materials by an array of circular holes with edge cracks. Mechanics of Materials. 1991 ; 11 (2). 123-134
29. Kim BR, Lee HK. Elastic-damage modeling for particulate composites considering cumulative damage. International Journal of Damage Mechanics. 2011 ; 20 (1). 131-158
30. Koimtzoglou C, Kostopoulos V, Galiotis C. Micromechanics of reinforcement and damage initiation in carbon fibre/epoxy composites under fatigue loading. Composites Part A Applied Science and Manufacturing. 2001 ; 32 (3). 457-471
31. Krajcinovic D, Vujosevic M. Intrinsic failure modes of brittle materials. International Journal of Solids and Structures. 1998 ; 35 (19). 2487-2503
32. Kuna M, Abendroth M. Identification and validation of ductile damage parameters by the small punch test. Procceedings of the 15th European Conference of Fracture (ECF 15) ; 2004 Stockholm, Sweden ; 2004..
33. Lamon J. A micromechanics-based approach to the mechanical behavior of brittle-matrix composites. Composites Science and Technology. 2001 ; 61 (15). 2259-2272
34. Lauro F, Bennani B, Croix P, et al. Identification of the damage parameters for anisotropic materials by inverse technique: application to an aluminium. Journal of Materials Processing Technology. 2001 ; 118 (1). 472-477
35. Lawn B (1993) Fracture of Brittle Solids, 2nd ed. Cambridge: Cambridge University Press.
36. Lee HK, Shin DK. Computational approach for modeling of crack nucleation and growth in damage-tolerant brittle materials. KSCE Journal of Civil Engineering. 2003 ; 7 (5). 537-546
37. Lee HK, Simunovic S. Prediction of crack evolution and effective elastic behavior of damage-tolerant brittle composites. Computer Methods in Applied Mechanics and Engineering. 2006 ; 196 (1-3). 118-133
38. Lee HK, Simunovic S, Shin DK. A computational approach for prediction of the damage evolution and crushing behavior of chopped random fiber composites. Computational Materials Science. 2004 ; 29 (4). 459-474
39. Liu HT, Sun LZ, Ju JW. An interfacial debonding model for particle-reinforced composites. International Journal of Damage Mechanics. 2004 ; 13 (2). 163-185
40. Liu HT, Sun LZ, Wu HC. Monte Carlo simulation of particle-cracking damage evolution in metal matrix composites. Journal of Engineering Materials and Technology-Transactions of the Asme. 2005 ; 127 (2). 318-324
41. Lubarda VA, Krajcinovic D. Damage tensors and the crack density distribution. International Journal of Solids and Structures. 1993 ; 30 (20). 2859-2877
42. Meraghni F, Benzeggagh ML. Micromechanical modeling of matrix degradation in randomly oriented discontinuous-fiber composites. Composites Science and Technology. 1995 ; 55 (2). 171-186
43. Mishnaevsky L, Brondsted P. Micromechanical modeling of damage and fracture of unidirectional fiber reinforced composites: a review. Computational Materials Science. 2009 ; 44 (4). 1351-1359
44. Munoz-Rojas PA, Cardoso EL, Vaz M. Parameter identification of damage models using genetic algorithms. Experimental Mechanics. 2010 ; 50 (5). 627-634
45. Murari V, Upadhyay CS. Micromechanics based ply level material degradation model for unidirectional composites. Composite Structures. 2012 ; 94 (2). 671-680
46. Nelder JA, Mead R. A simplex-method for function minimization. Computer Journal. 1965 ; 7 (4). 308-313
47. Okabe T, Nishikawa M, Takeda N. Micromechanics on the rate-dependent fracture of discontinuous fiber-reinforced plastics. International Journal of Damage Mechanics. 2010 ; 19 (3). 339-360
48. Ortiz M. Microcrack coalescence and macroscopic crack-growth initiation in brittle solids. International Journal of Solids and Structures. 1988 ; 24 (3). 231-250
49. Pyo SH, Lee HK. Micromechanics-based elastic-damage analysis of laminated composite structures. International Journal of Solids and Structures. 2009 ; 46 (17). 3138-3149
50. Rafii-Tabar H, Hua L, Cross M. A multi-scale atomistic-continuum modelling of crack propagation in a two-dimensional macroscopic plate. Journal of Physics-Condensed Matter. 1998a ; 10 (11). 2375-2387
51. Rafii-Tabar H, Hua L, Cross M. Multiscale numerical modelling of cracK propagation in tvvo-dimensional metal plate. Materials Science and Technology. 1998b ; 14 (6). 544-548
52. Rao SS Engineering Optimization: Theory and Practice. Hoboken, NJ: John Wiley & Sons, Inc ; 2009.
53. Seaman L, Curran DR, Shockey DA. Computational models for ductile and brittle-fracture. Journal of Applied Physics. 1976 ; 47 (11). 4814-4826
54. Shang S, Yun GJ. Identification of elasto-plastic constitutive parameters by self-optimizing inverse method: experimental verifications. Computers, Materials and Continua. 2012 ; 635 (1). 1-18
55. Singh KV. Transcendental inverse eigenvalue problems in damage parameter estimation. Mechanical Systems and Signal Processing. 2009 ; 23 (6). 1870-1883
56. Skolnik DA, Liu HT, Wu HC, et al. Anisotropic elastoplastic and damage behavior of SiCp/Al composite sheets. International Journal of Damage Mechanics. 2008 ; 17 (3). 247-272
57. Subramanian S, Reifsnider KL, Stinchcomb WW. A cumulative damage model to predict the fatigue life of composite laminates including the effect of a fiber-matrix interphase. International Journal of Fatigue. 1995 ; 17 (5). 343-351
58. Swoboda G, Yang Q. An energy-based damage model of geomaterials - deduction of damage evolution laws. International Journal of Solids and Structures. 1999a ; 36 (12). 1735-1755
59. Swoboda G, Yang Q. An energy-based damage model of geomaterials - I. Formulation and numerical results. International Journal of Solids and Structures. 1999b ; 36 (12). 1719-1734
60. Tay TE, Liu G, Yudhanto A, et al. A micro-macro approach to modeling progressive damage in composite structures. International Journal of Damage Mechanics. 2008 ; 17 (1). 5-28
61. Tekoglu C, Pardoen T. A micromechanics based damage model for composite materials. International Journal of Plasticity. 2010 ; 26 (4). 549-569
62. Tian YP, Fu YM. Modeling of composite laminated plates with interfacial damage evolution. International Journal of Damage Mechanics. 2011 ; 20 (3). 370-399
63. Voyiadjis GZ, Almasri AH. Experimental study and fabric tensor quantification of microcrack distributions in composite materials. Journal of Composite Materials. 2007 ; 41 (6). 713-745
64. Voyiadjis GZ, Kattan PI. Damage mechanics with fabric tensors. Mechanics of Advanced Materials and Structures. 2006 ; 13 (4). 285-301
65. Voyiadjis GZ, Kattan PI, Taqieddin ZN. Continuum approach to damage mechanics of composite materials with fabric tensors. International Journal of Damage Mechanics. 2007a ; 16 (3). 301-329
66. Voyiadjis GZ, Taqieddin ZN, Kattan PI. Micromechanical approach to damage mechanics of composite materials with fabric tensors. Composites Part B Engineering. 2007b ; 38 (7). 862-877
67. Wang F, Wei YQ, Chen ZQ. Micromechanical modeling of the effect of progressive damage on the tensile behavior in fiber-reinforced polymer composites. Multi-Functional Materials and Structures II. 2009 ; 79-82 (Pts 1 and 2). 1347-1350
68. Whitley D and Kauth J (1988) GENITOR: a different genetic algorithm. In: Proceedings of the rocky mountain conference on artificial intelligence, 13-15 June 1988, Denver, CO. Department of Computer Science, Colorado State University, Fort Collins, CO, pp. 118-130.
69. Xia YM, Wang X. Constitutive equation for unidirectional composites under tensile impact. Composites Science and Technology. 1996 ; 56 (2). 155-160
70. Xiang ZH, Swoboda G, Cen ZZ. Identification of damage parameters for jointed rock. Computers and Structures. 2002 ; 80 (16-17). 1429-1440
71. Yang Q, Chen X, Zhou WY. Microplane-damage-based effective stress and invariants. International Journal of Damage Mechanics. 2005 ; 14 (2). 179-191
72. Yun GJ, Ogorzalek KA, Dyke SJ, et al. A two-stage damage detection approach based on subset of damage parameters and genetic algorithms. Smart Structures and Systems. 2009 ; 5 (1). 1-21
73. Yun GJ, Shang S. A self-optimizing inverse analysis method for estimation of cyclic elasto-plasticity model parameters. International Journal of Plasticity. 2011 ; 27 (4). 576-595
74. Zhurkov SN. Kinetic concept of strength of solids. International Journal of Fracture Mechanics. 1965 ; 1 (4). 311-322