Damage in fiber bundle models

被引:120
作者
Kun, F
Zapperi, S
Herrmann, HJ
机构
[1] Univ Stuttgart, ICA 1, D-70569 Stuttgart, Germany
[2] Univ Debrecen, Dept Theoret Phys, H-4010 Debrecen, Hungary
[3] ESPCI, PMMH, F-75231 Paris 05, France
[4] Univ Roma La Sapienza, INFM, Sez Roma 1, I-00185 Rome, Italy
关键词
D O I
10.1007/PL00011084
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We introduce a continuous damage filer bundle model and compare its behavior with that of dry fiber bundles. Several interesting constitutive behaviors, such as plasticity, are found in this model depending on the value of the damage parameter and on the form of the disorder distribution. We compare the constitutive behavior of global load transfer models, obtained analytically, with local load transfer models numerical simulations. The evolution of the damage is studied analyzing the cluster statistics for dry and continous damage fiber bundles. Finally, it is shown that quenched random thresholds enhance damage localization.
引用
收藏
页码:269 / 279
页数:11
相关论文
共 51 条
[1]   Stress concentrations around multiple fiber breaks in an elastic matrix with local yielding or debonding using quadratic influence superposition [J].
Beyerlein, IJ ;
Phoenix, SL .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1996, 44 (12) :1997-2039
[2]   Elastic theory has zero radius of convergence [J].
Buchel, A ;
Sethna, JP .
PHYSICAL REVIEW LETTERS, 1996, 77 (08) :1520-1523
[3]   Statistical mechanics of cracks: Fluctuations, breakdown, and asymptotics of elastic theory [J].
Buchel, A ;
Sethna, JP .
PHYSICAL REVIEW E, 1997, 55 (06) :7669-7690
[4]   STATISTICS AND TIME DEPENDENCE OF MECHANICAL BREAKDOWN IN FIBERS [J].
COLEMAN, BD .
JOURNAL OF APPLIED PHYSICS, 1958, 29 (06) :968-983
[5]   Tensile strength of fiber-reinforced composites: I. Model and effects of local fiber geometry [J].
Curtin, WA ;
Takeda, N .
JOURNAL OF COMPOSITE MATERIALS, 1998, 32 (22) :2042-2059
[6]   THE TOUGH TO BRITTLE TRANSITION IN BRITTLE MATRIX COMPOSITES [J].
CURTIN, WA .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1993, 41 (02) :217-245
[7]   THEORY OF MECHANICAL-PROPERTIES OF CERAMIC-MATRIX COMPOSITES [J].
CURTIN, WA .
JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 1991, 74 (11) :2837-2845
[8]   Size scaling of strength in heterogeneous materials [J].
Curtin, WA .
PHYSICAL REVIEW LETTERS, 1998, 80 (07) :1445-1448
[9]   Comment on "Tricritical behavior in rupture induced by disorder" [J].
da Silveira, R .
PHYSICAL REVIEW LETTERS, 1998, 80 (14) :3157-3157
[10]  
DANIELS HE, 1945, PROC R SOC LON SER-A, V183, P405