Macroscopic behavior of a reinforced eastomer: micromechanical modelling and validation

被引:7
作者
Bouchart, Vanessa [1 ]
Brieu, Mathias [1 ]
Kondo, Djlmedo [1 ]
Abdelaziz, Moussa Nait [1 ]
机构
[1] Lab Mecan Lille, F-59655 Villeneuve Dascq, France
来源
MECANIQUE & INDUSTRIES | 2007年 / 8卷 / 03期
关键词
non-linear homogenization; hyperelasticity; second order method; elastomers; finite deformations;
D O I
10.1051/meca:2007039
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In the present study, we propose an evaluation of a non-linear homogenization model applied to hyperelastic composites having random microstructure. This modelling approach consists in a 3D implementation of the second order method introduced by Ponte Castaneda & Tiberio [1]. We first recall the basic principles of this method. Then, we investigate a composite made up of an hyperelastic matrix reinforced by spherical deformable or rigid particles. Computational issues of the micromechanical model are discussed and some obtained results allow to demonstrate the reinforcement effect of the particles. In order to provide a rigorous evaluation of the methodology, finite elements computations, on ail unit cell, are performed and compared to the predictions of the model. Finally, a confrontation with experimental results is provided.
引用
收藏
页码:199 / 205
页数:7
相关论文
共 12 条
[1]   Homogenization of nonlinear elastic composites. Method and algorithm [J].
Brieu, M ;
Devries, F .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE, 1998, 326 (06) :379-384
[2]  
BROWN RP, 1984, PHYS TESTING POLYM
[3]   Exact second-order estimates for the effective mechanical properties of nonlinear composite materials [J].
Castaneda, PP .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1996, 44 (06) :827-862
[4]  
Castañeda PP, 2000, J MECH PHYS SOLIDS, V48, P1389
[5]   Homogenization of two-phase elasto-plastic composite materials and structures - Study of tangent operators, cyclic plasticity and numerical algorithms [J].
Doghri, I ;
Ouaar, A .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2003, 40 (07) :1681-1712
[6]  
HILL R, 1972, ARCH RATION MECH AN, V63, P337
[7]   Second-order estimate of the macroscopic behavior of periodic hyperelastic composites: theory and experimental validation [J].
Lahellec, N ;
Mazerolle, F ;
Michel, JC .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2004, 52 (01) :27-49
[8]   New phenomenological behavior laws for rubbers and thermoplastic elastomers [J].
Lambert-Diani, J ;
Rey, C .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 1999, 18 (06) :1027-1043
[9]  
LEVIN VM, 1967, MEKH TVERD TELA, V2, P83
[10]   On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations:: II -: Application to cylindrical fibers [J].
Lopez-Pamies, O ;
Castañeda, PP .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2006, 54 (04) :831-863