Two-scale damage modeling of brittle composites

作者: Jacob Fish , Qing Yu

DOI: 10.1016/S0266-3538(01)00115-4

关键词:

摘要: Abstract This paper is aimed at developing a non-local theory for obtaining numerical approximation to boundary-value problem describing damage phenomena in ceramic composite material. The mathematical homogenization method based on double-scale asymptotic expansion generalized account effects heterogeneous media. A closed-form expression relating local fields the overall strain and derived. Non-local developed by introducing concept of phase (stress, strain, free energy density, release rate, etc.). Numerical results our model were found be good agreement with experimental data from 4-point bend tests conducted beams made Blackglas™/Nextel 5-harness satin weave.

参考文章(21)
G. Z. Voyiadjis, David H. Allen, Damage and interfacial debonding in composites Elsevier. ,(1996)
S. Kruch, J.L. Chaboche, T. Pottier, Two-scale viscoplastic and damage analysis of a metal matrix composite Damage and Interfacial Debonding in Composites. ,vol. 44, pp. 45- 56 ,(1996) , 10.1016/S0922-5382(96)80004-3
M.G.D. Geers, Experimental analysis and computational modelling of damage and fracture Technische Universiteit Eindhoven. ,(1997) , 10.6100/IR477352
Alain Bensoussan, Alain Bensoussan, Jacques Louis Lions, George Papanicolaou, Asymptotic analysis for periodic structures ,(1978)
George Z. Voyiadjis, Peter I. Kattan, A plasticity-damage theory for large deformation of solids—I. Theoretical formulation International Journal of Engineering Science. ,vol. 30, pp. 1089- 1108 ,(1992) , 10.1016/0020-7225(92)90059-P
JW Ju, None, On energy-based coupled elastoplastic damage theories: Constitutive modeling and computational aspects International Journal of Solids and Structures. ,vol. 25, pp. 803- 833 ,(1989) , 10.1016/0020-7683(89)90015-2
P LADEVEZE, E LEDANTEC, Damage modelling of the elementary ply for laminated composites Composites Science and Technology. ,vol. 43, pp. 257- 267 ,(1992) , 10.1016/0266-3538(92)90097-M
JoséMiranda Guedes, Noboru Kikuchi, None, Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods Applied Mechanics and Engineering. ,vol. 83, pp. 143- 198 ,(1990) , 10.1016/0045-7825(90)90148-F
Zdeneˇk P. Bazˇant, Gilles Pijaudier-Cabot, Nonlocal Continuum Damage, Localization Instability and Convergence Journal of Applied Mechanics. ,vol. 55, pp. 287- 293 ,(1988) , 10.1115/1.3173674
Jacob Fish, Amir Wagiman, Multiscale finite element method for a locally nonperiodic heterogeneous medium Computational Mechanics. ,vol. 12, pp. 164- 180 ,(1993) , 10.1007/BF00371991