Computational Methods for Debonding in Composites

More documents

Recommendations

Info

10 Elastoplastic Modeling of Multi-phase Metal Matrix Composite 213 σ 33 [MPa] 350 300 250 200 150 100 50 0 0 2 4 6 8 10 12 Fig. 10.3 Results: Denda, Weng and Zheng 2003 10.5.1.3 Ju, Liu and Sun 2003 ε 33 [10 −3 ] Mises Gurson−0.02 Gurson−0.08 D, W & Z Here, we compare two material models with our proposed model. The first material is an aluminum alloy particle-reinforced composite. The fibers are prolate spheroids with aspect ratio equal to 3.0 (i.e. ζ = 3.0). In this paper, the authors proposed an elastoplastic damage model to predict the partial debonding process of metal matrix composites under elastoplastic deformation [12]. The governing parameter of the damage process is the average particle stress. That is, once the average particle stress attained to a certain level, the evolution of damage starts. Note that the only difference between the model in Ju and Lee’s and Ju, Liu and Sun’s papers is the consideration of the partial debonding evolution. However, the damage evolution is governed by the Weibull statistics in both cases. In addition, Ju, Liu and Sun also compared their model to experimental data provided in Papazian and Adler’s paper. In this simulation, we will employ the GPM algorithm to integrate the governing TFA equations using both the von-Mises and Gurson’s yield criterion. Only the isotropic hardening rule is considered. The material properties of the composite are given in Table 10.1 and the results are presented in Fig. 10.4. The second material is a SiC particulate-reinforced 5456 aluminum alloy composite used in Papazian and Adler’s experimental results. The inclusion shape is assumed to be spherical. The material properties of the composites are given in Table 10.1 and the results are plotted in Fig. 10.5.
214 Ernest T.Y. Ng and A. Suleman σ 33 [MPa] 600 500 400 300 200 100 0 0 2 4 6 8 10 12 14 Fig. 10.4 Results: Ju, Liu and Sun 2003 σ 33 [MPa] 350 300 250 200 150 100 50 ε 33 [10 −3 ] Mises Gurson−0.02 Gurson−0.08 JLS03−perfectly bonded JLS03−porous 0 0 1 2 3 4 5 6 7 8 9 Fig. 10.5 Results: Papazian and Alder 1990 10.5.1.4 Ju, Liu and Sun 2006 ε 33 [10 −4 ] Mises Gurson−0.02 Gurson−0.08 P & A The material considered in this section is the same as in the case of Ju and Lee’s, however, the inclusion shape is spherical. In the paper by Ju, Liu and Sun 2006, the authors proposed a new particle-matrix interfacial debonding model to predict the
Page 2 and 3:
Mechanical Response of Composites
Page 4 and 5:
Pedro P. Camanho • C.G. Dávila S
Page 6 and 7:
Preface The methodology for designi
Page 8 and 9:
Acknowledgements The Editors of thi
Page 10 and 11:
x Contents 3 Practical Challenges i
Page 12 and 13:
xii Contents 8.2.4 Modelling Effect
Page 14 and 15:
xiv Contents 13.1.2 EffectiveProper
Page 16 and 17:
xvi List of Contributors Clara Schu
Page 18 and 19:
Chapter 1 Computational Methods for
Page 20 and 21:
1 Computational Methods for Debondi
Page 22 and 23:
Page 24 and 25:
Page 26 and 27:
Page 28 and 29:
Page 30 and 31:
Page 32 and 33:
Page 34 and 35:
Page 36 and 37:
Page 38 and 39:
Page 40 and 41:
Page 42 and 43:
Page 44 and 45:
28 R. Rolfes et al. functions by me
Page 46 and 47:
30 R. Rolfes et al. Microscale fibe
Page 48 and 49:
32 R. Rolfes et al. symmetric, whic
Page 50 and 51:
34 R. Rolfes et al. Fig. 2.5 Discre
Page 52 and 53:
36 R. Rolfes et al. Unit cell (a) S
Page 54 and 55:
38 R. Rolfes et al. stress state. T
Page 56 and 57:
40 R. Rolfes et al. biaxial compres
Page 58 and 59:
42 R. Rolfes et al. Damage Evolutio
Page 60 and 61:
44 R. Rolfes et al. Fig. 2.14 Radia
Page 62 and 63:
46 R. Rolfes et al. Table 2.2 Elast
Page 64 and 65:
48 R. Rolfes et al. A dev is the de
Page 66 and 67:
50 R. Rolfes et al. uniaxial compre
Page 68 and 69:
52 R. Rolfes et al. Stress in MPa -
Page 70 and 71:
54 R. Rolfes et al. 2.4.2 Results o
Page 72 and 73:
56 R. Rolfes et al. 12. Hughes TJR
Page 74 and 75:
58 B.N. Cox et al. inform models; a
Page 76 and 77:
60 B.N. Cox et al. 3.2 The Structur
Page 78 and 79:
62 B.N. Cox et al. be successfully
Page 80 and 81:
64 B.N. Cox et al. high fluxes of c
Page 82 and 83:
66 B.N. Cox et al. provides poor in
Page 84 and 85:
68 B.N. Cox et al. For example, a c
Page 86 and 87:
70 B.N. Cox et al. failures in comp
Page 88 and 89:
72 B.N. Cox et al. mixed-mode crack
Page 90 and 91:
74 B.N. Cox et al. 24. Elices M, Gu
Page 92 and 93:
Chapter 4 Analytical and Numerical
Page 94 and 95:
4 Analytical and Numerical Investig
Page 96 and 97:
Page 98 and 99:
Page 100 and 101:
Page 102 and 103:
Page 104 and 105:
Page 106 and 107:
Page 108 and 109:
Page 110 and 111:
Page 112 and 113:
Page 114 and 115:
100 C. Schuecker and H.E. Petterman
Page 116 and 117:
Page 118 and 119:
Page 120 and 121:
Page 122 and 123:
Page 124 and 125:
Page 126 and 127:
Page 128 and 129:
Page 130 and 131:
Page 132 and 133:
Chapter 6 Study of Delamination in
Page 134 and 135:
6 Study of Delamination with in Com
Page 136 and 137:
Page 138 and 139:
Page 140 and 141:
Page 142 and 143:
Page 144 and 145:
Page 146 and 147:
Page 148 and 149:
Page 150 and 151:
Page 152 and 153:
Page 154 and 155:
Chapter 7 Interaction Between Intra
Page 156 and 157:
7 Interaction Between Intraply and
Page 158 and 159:
Page 160 and 161:
Page 162 and 163:
Page 164 and 165:
Page 166 and 167:
Page 168 and 169:
Page 170 and 171:
Page 172 and 173:
Page 174 and 175: Chapter 8 A Numerical Material Mode
Page 176 and 177: 8 A Numerical Material Model for Pr
Page 192 and 193: 180 N. Zobeiry et al. There are sev
Page 194 and 195: 182 N. Zobeiry et al. for construct
Page 196 and 197: 184 N. Zobeiry et al. In compressio
Page 198 and 199: 186 N. Zobeiry et al. c = 38.7 mm h
Page 200 and 201: 188 N. Zobeiry et al. displacement
Page 202 and 203: 190 N. Zobeiry et al. No Notched St
Page 204 and 205: 192 N. Zobeiry et al. where g f is
Page 206 and 207: 194 N. Zobeiry et al. References 1.
Page 208 and 209: Chapter 10 Elastoplastic Modeling o
Page 210 and 211: 10 Elastoplastic Modeling of Multi-
Page 234 and 235: 224 J.A. Oliveira et al. 11.1 Intro
Page 236 and 237: 226 J.A. Oliveira et al. written as
Page 238 and 239: 228 J.A. Oliveira et al. asymptotic
Page 240 and 241: 230 J.A. Oliveira et al. χ jk i (0
Page 242 and 243: 232 J.A. Oliveira et al. (a) (b) Fi
Page 244 and 245: 234 J.A. Oliveira et al. Fig. 11.7
Page 246 and 247: 236 J.A. Oliveira et al. Fig. 11.10
Page 248 and 249: 238 J.A. Oliveira et al. (a) (b) (c
Page 250 and 251: 240 J.A. Oliveira et al. (a) (b) (c
Page 252 and 253: 242 J.A. Oliveira et al. 20. Suquet
Page 254 and 255: 244 E. Lund and L.S. Johansen In th
Page 256 and 257: 246 E. Lund and L.S. Johansen 12.2.
Page 258 and 259: 248 E. Lund and L.S. Johansen The D
Page 260 and 261: 250 E. Lund and L.S. Johansen Subje
Page 262 and 263: 252 E. Lund and L.S. Johansen Table
Page 264 and 265: 254 E. Lund and L.S. Johansen Layer
Page 266 and 267: 256 E. Lund and L.S. Johansen λ1 =
Page 268 and 269: 258 E. Lund and L.S. Johansen 12.6
Page 270 and 271: 260 E. Lund and L.S. Johansen 34. T
Page 272 and 273: 262 M. Kästner et al. Micro-level
Page 274 and 275:
264 M. Kästner et al. elastic stra
Page 276 and 277:
266 M. Kästner et al. 13.1.1.2 Per
Page 278 and 279:
268 M. Kästner et al. 13.1.2 Effec
Page 280 and 281:
270 M. Kästner et al. including pr
Page 282 and 283:
272 M. Kästner et al. In order to
Page 284 and 285:
274 M. Kästner et al. x2 x 3 x1 Br
Page 286 and 287:
276 M. Kästner et al. Fig. 13.12 I
Page 288 and 289:
278 M. Kästner et al. Table 13.4 C
Page 290 and 291:
Chapter 14 Development of Domain Su
Page 292 and 293:
14 Development of DST for the Model
Page 294 and 295:
Page 296 and 297:
Page 298 and 299:
Page 300 and 301:
Page 302 and 303:
294 H. Miled et al. for this type o
Page 304 and 305:
296 H. Miled et al. Fig. 15.2 Diffe
Page 306 and 307:
298 H. Miled et al. Each member of
Page 308 and 309:
300 H. Miled et al. temperature is
Page 310 and 311:
302 H. Miled et al. Fig. 15.7 Compa
Page 312 and 313:
304 H. Miled et al. Table 15.3 Prop
Page 314 and 315:
306 H. Miled et al. Eqs. 15.28 and
Page 316 and 317:
308 H. Miled et al. 15.4.2 Effectiv
Page 318 and 319:
310 H. Miled et al. Fig. 15.13 Comp
Page 320 and 321:
312 H. Miled et al. 9. Carreau P, D
show all

Computational Methods for Debonding in Composites

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?